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FAQs
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What are your most profoundly helpful definitions of Art that explain its meaning best to you in one sentence or less?
Art is simply the expression of an idea intended to be experienced. A lot of times people confuse the issue by stating that art has to demonstrate talent, or it has to be beautiful. Those are judgements. Art can be beautiful and it can demonstrate talent, but it can also be ugly and it can be as simple as arranging a couple of found objects. Art can be, in its purest sense, simply the act of creating for no other reason than for the intention of being art. Its audience may be vast or it may only be the artist who created it. Art can be very complicated, it can be utilitarian, it can be vague, it can be timeless and it can be fleeting. It can be all of these things and none of them. Art is defined by the act of its creation, not necessarily by anyone else.
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Has dolphin communication been decoded at least partially?
Dolphins language is open and hierarchically organised like ours.We only have deciphered the meaning of signature whistles. Dolphins use signature whistles in a way quite similar to our names to identify individual dolphins or groups of dolphins. Those are the only dolphins “words” that its meaning was deciphered and the simpler signals that dolphins produce.In 1990 Alexander V. ZaninVladimir I. MarkovIrina E. Sidorova published a paper called “The Ability of Bottlenose Dolphins, Tursiops Truncatus, to Report Arbitrary Information” They have done experiments that demonstrated dolphins have ...
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What is the best invoicing app for small businesses?
SeisoRidh-Billing Acoounting Softwarefor demo click hereKey Features:Multiple Business/Shops:Set up multiple businesses in the application.No restriction on numbers of businesses.Inventory & accounting information is kept separately for each business.Add Location / Storefronts / Ware House:Create multiple locations for your business/shopManage all of them at the same time.Stocks, Purchases, Sell can be tracked differently for locations.Customize invoice layout, invoice scheme for each locationUser & Role Management:Powerful user and role management systemPredefined roles – Admin & CashierCreate different Roles with permission as per your need.Create unlimited users with different roles.Contacts (Customer & Suppliers):Mark contact as customer or supplier or both(customer & Supplier)View details of transactions with a contact.View total of Credit/Debit balance amountDefine pay term and get payment alerts week before the due date.Products:Manage Single & Variable products.Classify products according to Brands, Category, Sub-Category.Add products having different unitsAdd SKU number or auto-generate SKU number with prefixes.Get stock alerts on low stocks.Save time by auto calculating selling price, the system is smart to auto calculate selling price based on purchase price and profit margin.No need to type variations every time, create variation template and use it everytime you need to create variable products.Purchases:Easily add purchases.Add purchase for different locations.Manage Paid/Due purchases.Get Notified of Due purchases week before the pay date.Add discounts & TaxesSell:Simplified interface for selling productsDefault Walk-In-Customer automatically added to a businessAdd new customer from POS screen.Ajax based selling screen – save reloading time.Mark an invoice for draft or final.Different options for payments.Customize invoice layout and invoice scheme.Manage Expenses:Easily add business expensesCategorise expensesAnalyse expenses based on category and business locations with expenses report.Reports:Purchase & Sale reportTax ReportContact ReportsStock ReportsExpense ReportView Trending Products, drill down by Brands, Category, Sub-category, Units and date rangesOther useful feature:Set currency, timezone, financial year, the profit margin for a business.Translation ready.Predefined barcode sticker settings.Create your barcode sticker settingManage Brands, Tax Rate & Tax groups, Units, Category & Sub-CategoryEasy 3 steps installation.Detailed documentation
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What is a good iPhone invoicing app for a startup marketing company?
Disclaimer: I am the founder of Invoice by Alto.Alto brings desktop-class invoicing and time tracking functionality to mobile devices. The app enables small businesses and freelancers to track billable hours, send estimates and invoices and get paid. Users can choose from five invoice template options to suit their brand images. The Alto Timer companion app makes it possible for users to track billable time on the fly and then bill for it instantly by email. Alto can work for individuals or teams. The app features integration with Stripe, Square and Paypal to make Alto a payment processing app that can collect funds from clients. Integration with Dropbox, Github, and Photos enables the user to reference files, documents, images, code commits and other items needed to support an invoice. AddressBook integration simplifies setup and streamlines the invoicing process. A built-in set of animated visual charts give the user visibility into business statistics.http://www.alto.co
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What is a good free software for keeping track of invoices and expense for a small business?
Hi,Invoicing and expense tracking is one of the biggest aspects of managing a business and its finances. And yet, small business owners make some grave mistakes when it comes to invoicing and they suffer the actions of their consequences.One such mistake is not investing in a robust cloud-based invoicing software which costs less with a pay-as-you-go model.This cloud-based accounting and invoicing software have invoicing features like:Ability to send invoices anywhere you are using any device,Ability to customize invoices and make them look beautiful to wow the customers.Ability to add multiple payment avenues(net banking, debit card, credit card, payment gateways, etc) within the invoices that saves time.Ability to track unpaid invoices and send automated reminders once the due-date is met and the invoices remain unpaid.Ability to send invoices on a recurring basis.Some of the best invoicing, expense management and overall accounting software today are not free but they offer high bang for buck with their features and support. They are listed below:GiddhQuickbooksZoho invoicesProfitbookBearbookSage
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What is the best invoicing software that has a mobile app?
Since last 10 years Spectrum POS is one of the best invoicing software that has a mobile app MOBEX for any retail business. A most innovative invoicing software and complete solution to run your business in a better way at your location. According to latest trends & technology, now latest version of Spectrum POS has changed the features in a better performing way and have added new features for more performance. It offers Invoicing, Inventory, CRM, Payments and E-commerce for your business. This invoicing software mobile app works on any hardware including your mobile phone, tablet or lapto...
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What are the variants of the Boeing 747?
Google and Wikipedia are your friends…I’m your friend too, so let me describe the different variants of the Boeing 747 for you on Quora:747–100First flight: February 9, 1969Number built: 168We start with the first generation 747. The prototype aircraft was named City of Everett, and it took off from the Boeing Field in Washington for its maiden flight.The inaugural commercial 747 flight took place on January 22, 1970. The plane serving the flight was Clipper Victor, the 11th Jumbo Jet built.On August 2, 1970, this plane was involved in the first ever hijacking of a 747. Pan Am Flight 299 was hijacked en-route to San Juan with 379 people aboard.The hijacker had a gun and explosives, and he demanded the captain to fly the plane to Cuba. The captain complied with his order.Having been notified of the hijacking, Cuban Prime Minister Fidel Castro visited Jose Marti Airport to witness the landing of a 747—a plane he had never seen before.Castro was intrigued by the unprecedented size of the Jumbo Jet. When the captain disembarked the plane with the terrorist, Castro bombarded the captain with questions about the jet’s capabilities, seemingly forgetting that he had just endured the sheer terror of a hijack.Unfortunately, Clipper Victor would later be involved in the worst aviation accident ever. On March 27, 1977, while operating as Pan Am Flight 1736, the plane was struck by KLM Flight 4805 on a runway, resulting in 583 fatalities.The second Boeing 747 ever built was turned into a noodle restaurant after retiring from service. However, the restaurant failed and the plane was scrapped.747–100SRFirst flight: August 31, 1973Number built: 7When Japanese airlines requested a high-capacity, domestic version of the 747, Boeing launched the 747–100 Short-Range. This variant has lower fuel capacity, and higher payload allowance. This is the first airliner to be configured to carry more than 500 passengers. Japan Airlines’ 747–100SR can carry up to 550 passengers.As the –100SR was designed to perform twice as many flight cycles as the –100, Boeing had to strengthen its airframe and landing gear.A –100SR was involved in the deadliest single-aircraft aviation accident, when Japan Airlines Flight 123 crashed in 1985, killing 520 people.▲ The aircraft involved in the tragedy.747–100BFirst flight: June 20, 1979Number built: 9This variant borrowed the stronger fuselage and landing gear design from the 747–100SR. Compared to the 747–100, it has a greater fuel capacity and longer range. Boeing also offered new engine options.In 1996, an Ilyushin Il-76TD struck a Boeing 747–100B flying at about 14,000 feet, resulting in the most fatal mid-air collision in history.747–100B SRFirst flight: November 3, 1978Number built: 20The difference between this model and the regular 747–100SR is an increased maximum take-off weight.747–100B SR SUDFirst flight: February 26, 1986Number built: 2This model has the same features as the 747–100B SR, but with a Stretched Upper Deck that is around 7 meters longer, providing a 10% increase in capacity and allowing for more seats. This new upper deck also came with a pair of full-size emergency exit doors for faster evacuation.▲ This image depicts an actual 747–100, not a –300.747–100SFThe 747–100 Special Freighter is a 747–100 converted to carry cargo. A main-deck side cargo door and cargo loading mechanisms were added. The main deck was strengthened to accommodate the increased weight of the payload.If you look closely at the image below, you’ll be able to see three exit doors that are sealed off, and the side cargo door behind the wing.747SPFirst flight: July 4, 1975Number built: 45The 747 Special Performance is truly unique and quirky. It is derived from the 747–100, and it’s about 14.7 meters shorter than a regular 747. It also has one less pair of exit doors on the main deck.It has a stubby fuselage, a huge vertical stabiliser, four turbofan engines and two passenger decks. It just looks ludicrous, and wonderful.The following was stated in Boeing’s 1984 edition of “747 Airplane Characteristics — Airport Planning”:[The 747SP] can fly higher, faster and farther than any other wide-body aircraft, and as a result serves well on long-distance air routes that do not require the size of the standard 747.The 747SP apparently had a top speed of approximately Mach 0.92 (630 mph/ 1013 kmh).One plane was involved in a near-disaster. In February 1985, China Airlines Flight 6 plummeted 30,000 feet in under 2 and a half minutes, before the pilots were able to regain control and level their jet out at 9,600 feet. The flight landed safely.▲ Damage sustained by the plane’s empennageThe plane was repaired, but its wings were permanently bent upwards by 5 cm.747–200BFirst flight: October 11, 1970Number built: 225The “second-generation” 747 entered service in February 1971, just a year after the original model. It has more powerful engines, higher maximum take-off weight and longer range.The 747-200B denotes the “basic” passenger version.▲ The KLM 747–200B that collided with Clipper Victor on the runway747–200FFirst flight: Early 1972Number built: 73This is the first freighter version of the 747 to be manufactured by Boeing.Boeing stated that this plane has “virtually” the same cargo space as the 747–100SF.747–200CFirst flight: Early 1973Number built: 13Equipped with a nose cargo door, the 747–200 Convertible is capable of being quickly converted from a passenger aircraft to a cargo aircraft, and vice versa. It can also carry a mix of cargo and passengers.▲ There are passenger windows on the nose cargo door.An El Al Boeing 747–200C carried a record-breaking 1,087 passengers on a single flight during Operation Solomon in 1991 (figure excludes babies board on the flight).747–200MFirst flight: Late 1974Number built: 78Also known as the –200B Combi, this plane is functionally similar to the –200C. It was built with a passenger cabin in the front half of the plane, and a cargo compartment in the back half.This model does not have a nose cargo door. Instead, a left-side main-deck cargo door was implemented near the rear of the aircraft. Unlike the –200C, this model cannot be converted into an all-cargo configuration.747 (SUD)While Boeing built the 747–100B SR SUD from scratch, they offered the Stretched Upper Deck as a retrofit to the 747–100B, 747–100SR, 747–200B and 747–200M variants.These images show the SUD modification process:All 747s that were upgraded with the extended upper deck were designated as “SUD” models. For example, the “747–200B SUD”.▲ Top: An original KLM 747–200B | Bottom: The same plane with the SUD upgrade747–300First flight: October 5, 1982Number built: 56The 747–300 is the third-generation passenger 747, and it came with the stretched upper deck as standard. To reiterate, the upper deck was stretched to be about 7 meters longer than older, non-retrofitted 747s, and it came with a pair of full-size exit doors.Boeing gave customers the option for updated engines, or the same engines from the 747–200 models.While older 747 variants had spiral staircases connecting the two passenger decks, the 747–300 featured a new staircase design which occupied less space in the cabin, providing room for more seats.▲ Left: Spiral staircase on a 747–200B | Right: Staircase on the 747–300747–300MFirst flight: Late 1982Number built: 21As with the 747–200M, the updated –300M can carry passengers and freight on the main deck. It is also referred to as the 747–300 Combi.747–300SRFirst flight: Late 1987Number built: 4This plane was once again introduced for Japanese airlines. It has a capacity of 584 passengers.747–300SFBoeing didn’t produce a freighter version of the 747–300, but they initiated a modification program in May 2000 to turn the passenger variants into cargo planes.747–400First flight: April 29, 1988Number built: 442The fourth-generation 747 introduced numerous structural and technological advancements, providing greater efficiency. It has more range, more fuel tanks, longer wings, and new wingtips that increase fuel efficiency by 4%.More importantly, this model came equipped with a glass cockpit consisting of multifunctional digital screens, which supersede many analog instruments. More computerised flight control systems were implemented, eliminating the need for a flight engineer and largely reducing the amount of knobs, dials and switches.Additionally, the model came with new powerplants choices and a refreshed passenger cabin. With 442 planes constructed, the 747–400 is the most popular 747 model.Unsurprisingly, the 1000th 747 produced is a 747–400.▲ This plane was delivered to Singapore Airlines in October 1993.747–400FFirst flight: Late 1993Number built: 126The freighter version of the 747–400.Since an extended upper deck is redundant and adds weight to the aircraft, every 747–400F retained the same upper deck dimensions as the 747–200F.747–400MFirst flight: Mid 1989Number built: 61Otherwise known as the 747–400 Combi, this aircraft can haul passengers and cargo on the main deck. Compared to older Combi aircraft, this model came with enhanced fire protection systems.The 747th 747 was a –400M. It was delivered to Lufthansa in September 1989.747–400DFirst flight: Early 1991Number built: 19For their high-capacity, short-range 747–400, Boeing decided to drop the “SR” label in favour of a new name, the 747–400 Domestic.Yet again, this variant was produced for the Japanese market. Because it’s tailored for short-haul flights, no winglets were installed on newly-manufactured 747–400D. Boeing later offered the winglets as a retrofit.This airplane has a maximum capacity of 660 passengers in a single-class configuration.747–400ERFirst flight: July 2002Number built: 6The 747–400 Extended Range was launched with an option of one or two additional fuel tanks in the forward cargo bay. Structural modifications allowed for a higher maximum takeoff weight.▲ Qantas is the sole operator of the –400ERThe Boeing Signature Interior, which debuted on the Boeing 777, was installed on every 747–400ER.The 747–400ER is expected to be retired by 2020.747-400ERFFirst flight: September 2002Number built: 40This model can fly 525 kilometres farther than the standard 747–400F. Like the -400ER, this plane has a more robust structure, enabling higher maximum takeoff weight allowance.747-400BCFFirst flight: October 5, 2005Every 747–400 Boeing Converted Freighter was once a passenger 747–400. Boeing appoints contractors like HAECO and SIAEC to perform the conversion work.Like the –400F, it has a side main-deck door situated behind the wings.747–8IFirst flight: March 20, 2011Number built: 47 as of September 2018Initially named the 747 Advanced, the 747–8 Intercontinental was launched in 2005.This model was developed with technologies and design derived from the 787. For the first time, Boeing lengthened the 747’s airframe. As a result, the 747–8I is the longest 747, and the longest commercial aircraft to date.It is powered by GEnX engines, the same ones found on the 787.The 747–8I features a redesigned wing and raked wingtips inspired by the 787. To reduce weight and improve efficiency, parts of the wings are constructed using carbon-fibre composites.It comes with updated flight deck systems and avionics, along with the Boeing Sky Interior. Its passenger windows are 16% larger than those on the 747–400, but unlike the 787, the windows don’t dim electrically.747–8FFirst flight: February 8, 2010Number built: 82 as of September 2018This freighter aircraft shares many attributes with the 747–8I, including its record fuselage length. However, the dimensions of the upper deck remain identical to original 747.The two 747–8 models are 5.6 meters longer than older 747 models, and 20.3 meters longer than the 747SP. They were stretched in different areas to suit their purposes:DreamlifterFirst flight: September 9, 2006Number converted: 4The 747–400 Large Cargo Freighter, better known as the Dreamlifter, is an oversized cargo transporter. This colossal aircraft has three times the cargo capacity of a –400F. It was exclusively designed and used by Boeing to carry parts of the 787 Dreamliner from suppliers around the world to the assembly plant.Like the –400BCF, this airplane model was converted from passenger 747–400s.▲ This 747–400 is one of the 4 aircraft to be modified into Dreamlifters.The first Dreamlifter rolled out of the hangar in August 2006, and it wasn’t particularly sightly. Then-president of Boeing Commercial Airplanes, Scott Carson, was reportedly heard apologising to the designer of the 747, Joe Sutter, by saying:[Sorry] for what we did to your plane.VC-25AFirst flight: May 16, 1987Number built: 2Commonly mistaken as the “Air Force One”, the VC-25A is a heavily modified version of the 747–200B. It’s only known as Air Force One when the POTUS is on board.In recent years, it has made many cameo appearances in tabloid newspapers.VC-25BFirst flight: July 8, 2016 (as a 747–8I)Number to be converted: 2The VC-25B will supplant the ageing VC-25A. It should be operational by 2024.To keep costs low, the US Air Force purchased two 747–8I airplanes that were originally built for a Russian airline which went bankrupt.▲ The two undelivered 747s destined to be VC-25Bs, stored in the Mojave desert747 SupertankerFirst flight: February 19, 2004Number converted: 3This is a Boeing 747 variant that was transformed into an aerial firefighting air tanker. It can carry up to 74,000 litres of fire retardant or water, and holds the record for the largest firefighting aircraft.Three Supertankers were built from a 747–100, –200C and –400BCF. However, only two entered service. This image below shows the 747–100 Supertanker:Presently, only the 747–400BCF Supertanker is in service.▲ This passenger plane was first converted into a freighter, then an air tanker.SOFIAFirst flight: April 26, 2007The Stratospheric Observatory for Infrared Astronomy is a heavily retrofitted 747SP. It has a telescope installed near the rear of the airframe, and flies at up to 45,000 feet during its missions.This 747SP was formerly owned by Pan Am, and subsequently United.▲ SOFIA, before make-up▲ SOFIA, after make-upBoeing YAL-1First flight: July 18, 2002This plane was once a 747–400F, before becoming the YAL-1 Airborne Laser. It has an infrared chemical laser mounted on its nose, which was intended to destroy tactical ballistic missiles.▲ This plane gives Rudolph a run for its moneyThe plane successfully destroyed two test missiles. However, it was expensive and not operationally feasible. Hence, it was scrapped in 2014.Boeing E-4First flight: June 13, 1973Number built: 4The E-4 is an airborne strategic command and control post. It is derived from the 747–200B. When in operation, the E-4 is identified as a “National Airborne Operations Center”.This plane is capable of aerial refuelling, and was designed to remain airborne for a week during an emergency.▲ This 747 variant has a hump on top of its hump, which houses an antenna.There are two versions of the model, the E-4A and E-4B. The US Air Force initially had three E-4A planes. In 1979, Boeing delivered a new E-4, with upgraded equipment, which was designated as the E-4B. Thereafter, the E-4A jets were refurbished to become E-4B models.Shuttle Carrier AircraftFirst flight with a space shuttle: February 18, 1977Number converted: 2The Shuttle Carrier Aircraft was designed to transport space shuttles from landing sites back to the launch complex. In 1974, an American Airlines 747–100 was acquired by NASA and turned into the SCA.During the maiden flight with an orbiter, Enterprise, the SCA signNowed a speed of 462 km/h (287 mph), and an altitude of 16,000 feet.In 1988, a 747–100SR was obtained from Japan Airlines and converted into a second SCA.▲ The SCA piggybacking Space Shuttle Enterprise▲ Space Shuttle Endeavour riding on the SCAAfter the conclusion of the space shuttle program, the Shuttle Carrier Aircraft carried the shuttles from the Kennedy Space Centre to various museums.Thereafter, the SCA were sourced for spare parts that could be reused on SOFIA. Both planes are now preserved at museums.▲ The 747–100 SCA on display at Space Center HoustonJumbohostelFirst night: January 15, 2009This 747–200B was transformed into a hostel.After some additional work, the engine nacelles were turned into small rooms.Let’s move on to some 747 variants that were conceptualised but never built.747 trijetPeriod of study: Late 1960s — Early 1970sBoeing engineers crafted a concept for a 747 trijet to compete with the DC-10 and L-1011, but they realised it was too costly to develop. Boeing engineers figured that making a three-engine version of the 747 would require a redesign of the wings and the vertical stabiliser, along with other hassles that made the concept uneconomical.So, Boeing scrapped the 747 trijet.747–500X/ –600X/ –700XAnnounced: September 2, 1996Boeing proposed three versions of the 747 with longer fuselages as potential competitors to the hypothetical A3XX plane, which would later become the A380.The concept models were to feature an improved wing design taken from the Boeing 777, more landing gear wheels and a new interior design.▲ 747–400 (Top) compared to the 500X and 600XThe 747–600X and –700X were planned to receive longer and wider fuselages, while retaining the existing wing dimensions and landing gear structures. Furthermore, Boeing stated that the –700X would potentially have a capacity of 650 passengers in a typical three-class configuration.The –500X and –600X were offered for sale at the 1996 Farnborough Airshow, but they didn’t receive any orders. Thereafter, Boeing axed these three models.Oh and one last variant…747–8 PSPImagined: October 18, 2018The Boeing 747–8 Photoshopped Special Performance is the chubbiest 747 ever.Thanks for viewing.// //If you’re interested to know how the worst aviation accident in history happened, and learn about other mid-air disasters, check out Isaac Low's answer to Have planes crashed into each other?Image sources1st — General Aviation News2nd — Aviation Safety Network3rd — The Pan Am Historical Foundation4th — Vecamspot5th — SOBIFY6th — Wikimedia Commons7th — National Geographic8th — Wikimedia Commons9th — Dennis HKG/Flickr10th — Wikimedia Commons11th — Wikimedia Commons12th — Wikimedia Commons13th — Airliners[.]net14th — Cargo Facts15th — NACOE16th — Airline Reporter17th — Top: Airport-Data[.]com | Bottom: Bureau of Aircraft Accidents Archives18th — Airlines Inform19th — Left: Sam Chui | Right: Airliners[.]net20th — Airplane-Pictures[.]net21st — Wikimedia Commons22nd — Rohan Patel/Flickr23rd — Wikimedia Commons24th — Air Charter25th — (Thumbnail of YouTube video by akino33 Aviation Video Channel)26th — Wikimedia Commons27th — Airliners[.]net28th — Airplane-Pictures[.]net29th — Wikimedia Commons30th — Wikimedia Commons31st — Wired32nd — Modern Airliners33rd — Wikimedia Commons34th — australianaviation[.]com[.]au35th — JetPhotos36th — indicator[.]gr37th — unilad[.]co[.]uk38th — Defense One39th — Planespotters[.]net40th — The Gazette41st — Wikimedia Commons42nd — Wikimedia Commons43rd — SOFIA Science Centre44th — Wikimedia Commons45th — Wikimedia Commons46th — Wikimedia Commons47th — NASA48th — Wikimedia Commons49th — Amusing Planet50th — Hostelworld[.]com51st — robertcatanescu[.]wordpress[.]com52nd — Simple Flying53rd — Boeing Images54th — Wikimedia Commons (photo edited by me)Note: Due to Quora’s policy, I cannot add the image URL sources in my answer. To view the image links, click here.
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What other chords can I put in between the I-IV-V chords to make it sound better?
There are many. This is the theory behind some of them:A major scale has modes, right? Ok, each one of this modes represents a region. Major modes represent major regions; minor modes represent minor regions. For the moment we are not going to talk about the diminished mode, so for the moment the locrian is not going to represent a region close to tonic. So, for C major, we have the following regions:I Tonic - C majorii dorian - D minoriii mediant - E minorIV subdominant - F majorV Dominantvi submediantviib5 Ups! This region is not that close. I’ll tell you why later.Yes, I know, you should be thinking: “why mediant and not frigian?” Well, this are not modes, these are names of regions. We say dorian to differentiate it from the region of the supertonic (II major).So, the major regions are closely related to tonic. And these major regions have minor relative regions.ii is the relative minor of IViii is the relative minor of Vvi is the relative minor of I(vii is the relative minor of II, but we don’t have a D major chord that appears naturally, so this region should be not that close).So I was saying that the ii, the iii, the IV, the V and the vi are closely related to tonic. Well, we can import the alterations of this regions, we can use the key signature of them to build artificial chords. This artificial chords don’t belong to the tonality, that’s why they are artificial. But they are very close to the tonality. We can use them to ornament a progression.So, which are those alterations? Let’s see…From F major and D minor, we import Bb. But the ascending vension of the melodic scale of D minor has also B natural and C#. B natural is already in C, but C# is not. We can import it too.From G major (and E minor, it’s relative minor) we import F#. But the melodic scale of E minor presents C# and D# in the ascending version. We can import them too.So in C major we can import:Remember this formula: +4, -1, where “+” is the number of sharps to add and “-” is the numbers of flats. Let’s call it the hidden key signature. You will never write it on the score, it’s just a way to explain close relations to tonic. 4 sharps and one flat are close to a major tonality. This formula is relative to the real key signature. If we were in G major, four sharps and one flat would be:… And in Eb, we would have:So what’s the point with all this stuff? Four sharps and one flat are alterations that belong to regions that are close to tonic, and you can use them to build artificial chords: artificial dominants (they are also called secondary dominants), artificial semidiminished chords and even an artificial diminished chord.So, when you have a progression, you can ornament it by adding artificial chords in between. Artificial dominants are fifth degrees. So if we are in C major and you want to signNow the IV, you can put the V of the IV, which is C7. You can also use the vii° of the IV (Eb5, or Eb5 7).So in your progression, you can add:I - (I7) - IV - (II7) - VYou could also use half diminished chords, and it would be fine. Half diminished and diminished chords are seventh degrees of the target chord. The seventh degree must be a leading tone (half step below your target chord).There are many other chords that can be used, that come from not so close regions. I’m not going to explain them here, because it will take a long explanation. But augmented sixth chords can be used to replace the subdominant or to ornament the resolution to V.You could also add the I 6/4 in between the IV and the V. This is a diatonic ornament, no accidentals needed, and it was very common in the classical period.And of course you could also add suspensions, sevenths, anticipations, melodic ornaments, etc. If you know about voice leading, even a simple chord progression can sound really cool.All of this works fine for very conventional purposes but it also works for jazz. In jazz music you could use many other things, but in many cases they would be also related to this explanation.Edit: Now, the most important thing to understand is that harmony is not about formulas, but about technique. Many diatonic and non-diatonic chords can be used. Good or bad results depend on your purpose and the musical contexts.I hope this answer helps. Good luck.
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