Forge comma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 1640558367/1638400000 | |||
| Ratio = 1640558367/ | |||
| Name = forge comma | | Name = forge comma | ||
| Color name = | | Color name = LLz<sup>3</sup>g<sup>5</sup>2, lala-trizo-aquingu 2nd | ||
| | | Comma = yes | ||
}} | }} | ||
The '''forge comma''' is the [[7-limit]] [[unnoticeable comma]] '''1640558367/ | The '''forge comma''' is the [[7-limit]] [[unnoticeable comma]] '''1640558367/1638400000''', which measures roughly 2.28 [[cent]]s. It's notable as the amount by which 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. | ||
[[Category: | [[Category:Commas named for their regular temperament properties]] | ||
Latest revision as of 23:17, 3 November 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 amount by which 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.