Forge comma: Difference between revisions
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The '''forge comma''' is the [[7-limit]] [[unnoticeable comma]] '''1640558367/1638400000''', which measures roughly 2.28 [[cent]]s. It's notable as the interval separating the [[amity comma]] from the [[gamelisma]] and is the sum of the [[landscape comma]] and the [[schisma]]. This comma was first found as the 7-limit comma linking [[12edo]], [[34edo]] and [[159edo]]. The various 11-limit families that temper out this comma are named after various metal objects made in a forge, hence '''[[the Forge]]''' as the name of this collection of temperaments. | The '''forge comma''' is the [[7-limit]] [[unnoticeable comma]] '''1640558367/1638400000''', which measures roughly 2.28 [[cent]]s. It's notable as the interval a stack consisting of an [[octave]], a [[6561/4096]] Pythagorean augmented fifth, and a [[5/4]] major third, exceeds a stack of three [[100/63]] quasi-tempered minor sixths. It also is the interval separating the [[amity comma]] from the [[gamelisma]] and is the sum of the [[landscape comma]] and the [[schisma]]. This comma was first found as the 7-limit comma linking [[12edo]], [[34edo]] and [[159edo]]. The various 11-limit families that temper out this comma are named after various metal objects made in a forge, hence '''[[the Forge]]''' as the name of this collection of temperaments. | ||
Revision as of 17:03, 10 January 2024
| Interval information |
The forge comma is the 7-limit unnoticeable comma 1640558367/1638400000, which measures roughly 2.28 cents. It's notable as the interval a stack consisting of an octave, a 6561/4096 Pythagorean augmented fifth, and a 5/4 major third, exceeds a stack of three 100/63 quasi-tempered minor sixths. It also is the interval separating the amity comma from the gamelisma and is the sum of the landscape comma and the schisma. This comma was first found as the 7-limit comma linking 12edo, 34edo and 159edo. The various 11-limit families that temper out this comma are named after various metal objects made in a forge, hence the Forge as the name of this collection of temperaments.