User:DisasterBlaster/Sandbox: Difference between revisions

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	1153470752371588581/1152921504606846976, [-60 29 0 5> Pentarchisma. Tempering this out equates five [[32/21\|Archytas fifths]] (32/21) to three octaves and two [[Pythagorean comma\|Pythagorean commas]]. Notably also the difference between five [[64/63\|archytasmas]] (64/63) to the [[19-comma]], five [[Aberschisma\|aberschismas]] to the [[magic comma]], and thus splits the [[tritave]] into 5 intervals, each ~~thus~~ equated to 5103/4096.		1153470752371588581/1152921504606846976, [-60 29 0 5>, Pentarchisma. Tempering this out equates five [[32/21\|Archytas fifths]] (32/21) to three octaves and two [[Pythagorean comma\|Pythagorean commas]]. Notably also the difference between five [[64/63\|archytasmas]] (64/63) to the [[19-comma]], five [[Aberschisma\|aberschismas]] to the [[magic comma]], and thus splits the [[tritave]] into 5 intervals, each equated to 5103/4096.

			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'.