User:DisasterBlaster/Sandbox: Difference between revisions

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2359010787328/2353579470675, [30 -23 -2 0 0 3>, Americomma. Named for the thirteen ([[13-limit]]) colonies, I first equated three differences between the [[40/27|classic grave fifth]] and the [[20/13|tridecimal superfifth]] to two semitones (16/15) and then lowered it by a [[Pythagorean comma]]. It is also the difference between three [[Fairytale comma|fairytale commas]] (1001/1000) and the [[Alpharabian comma]], so if I had discovered it that way, I probably would have called it the 'golden age comma'.

?/?, [629 -328 -47>, Reckless comma. Difference between 43 [[Pythagorean comma|Pythagorean commas]] and 47 [[Syntonic comma|syntonic commas.]]

?/?, [629 -328 -47>, Reckless comma. Difference between the [[schisma]] and four [[Kirnberger's atom|atoms]] or 43 [[Pythagorean comma|Pythagorean commas]] and 47 [[Syntonic comma|syntonic commas.]]

23763/23762, [-1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 -2>, Averfifthsma. Taking the averiant between [[6/5|the common minor third]] and [[5/4|the common major third]] gives us 109/89, much closer to a neutral third than [[11/9]] that is tempered by the [[rastma]] (243/242), and squaring it gives the Averfifthsma as its difference to the fifth

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 2359010787328/2353579470675, [30 -23 -2 0 0 3>, Americomma. Named for the thirteen ([[13-limit]]) colonies, I first equated three differences between the [[40/27|classic grave fifth]] and the [[20/13|tridecimal superfifth]] to two semitones (16/15) and then lowered it by a [[Pythagorean comma]]. It is also the difference between three [[Fairytale comma|fairytale commas]] (1001/1000) and the [[Alpharabian comma]], so if I had discovered it that way, I probably would have called it the 'golden age comma'.
-?/?, [629 -328 -47>, Reckless comma. Difference between 43 [[Pythagorean comma|Pythagorean commas]] and 47 [[Syntonic comma|syntonic commas.]]
+?/?, [629 -328 -47>, Reckless comma. Difference between the [[schisma]] and four [[Kirnberger's atom|atoms]] or 43 [[Pythagorean comma|Pythagorean commas]] and 47 [[Syntonic comma|syntonic commas.]]
+/23762, [-1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 -2>, Averfifthsma. Taking the averiant between [[6/5|the common minor third]] and [[5/4|the common major third]] gives us 109/89, much closer to a neutral third than [[11/9]] that is tempered by the [[rastma]] (243/242), and squaring it gives the Averfifthsma as its difference to the fifth