Punctisma: Difference between revisions
Rework on intro. + temp data |
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The '''punctisma''', with a [[ratio]] of '''43904/43875''', is an [[unnoticeable comma|unnoticeable]] [[13-limit]] (specifically [[2.3.5.7.13 subgroup|2.3.5.7.13-]][[subgroup]]) [[comma]] measuring about 1.14 [[cent]]s. It is the difference between three [[15/14]] semitones and a [[16/13]] neutral third. It factors into ([[2401/2400]])⋅([[4096/4095]]). | The '''punctisma''', with a [[ratio]] of '''43904/43875''', is an [[unnoticeable comma|unnoticeable]] [[13-limit]] (specifically [[2.3.5.7.13 subgroup|2.3.5.7.13-]][[subgroup]]) [[comma]] measuring about 1.14 [[cent]]s. It is the difference between three [[15/14]] semitones and a [[16/13]] neutral third. | ||
In terms of other commas, it is the difference between [[196/195]] and [[225/224]]. It factors into ([[2401/2400]])⋅([[4096/4095]]). In the [[19-limit]] it further factors into ([[2926/2925]])⋅([[3136/3135]]). | |||
== Temperaments == | == Temperaments == | ||
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[[Subgroup]]: 2.3.5.7.13 | [[Subgroup]]: 2.3.5.7.13 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 0 0 0 7 | 0 1 0 0 -3 | 0 0 1 0 -3 | 0 0 0 1 1 }} | ||
: mapping generators: ~2, ~3, ~5, ~7 | : mapping generators: ~2, ~3, ~5, ~7 | ||