Forge comma: Difference between revisions

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{{Infobox Interval

~~| JI glyph =~~

| Ratio = 1640558367/1638400000

| Ratio = 1640558367/~~163840000~~

| Name = forge comma

~~| Monzo = -19 14 -5 3~~

| Color name = LLz3g52, lala-trizo-aquingu 2nd

~~| Cents = 2.27916~~

| Comma = yes

| Name = forge comma~~, forge~~

| Color name =

| ~~FJS name =~~

~~| Sound~~ =

}}

The '''forge comma'''~~, or more simply, the '''forge''',~~ is the [[7-limit]] [[unnoticeable comma]] '''1640558367/~~163840000~~''', which measures roughly 2.28 [[cent]]s. It's notable as the interval separating the [[amity comma]] from the [[gamelisma]].

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:~~7-limit]]~~

[[Category:Commas named for their regular temperament properties]]

~~[[Category:Unnoticeable commas~~]]

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 {{Infobox Interval
-| JI glyph =
+| Ratio = 1640558367/1638400000
-| Ratio = 1640558367/163840000
+| Name = forge comma
-| Monzo = -19 14 -5 3
+| Color name = LLz<sup>3</sup>g<sup>5</sup>2, lala-trizo-aquingu 2nd
-| Cents = 2.27916
+| Comma = yes
-| Name = forge comma, <br>forge
-| Color name =
-| FJS name =
-| Sound =
 }}
-The '''forge comma''', or more simply, the '''forge''', is the [[7-limit]] [[unnoticeable comma]] '''1640558367/163840000''', which measures roughly 2.28 [[cent]]s.  It's notable as the interval separating the [[amity comma]] from the [[gamelisma]].
+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:7-limit]]
+[[Category:Commas named for their regular temperament properties]]
-[[Category:Unnoticeable commas]]