Landscape comma: Difference between revisions

Line 2:

| Ratio = 250047/250000

| Name = landscape comma

| Color name = z3g63, ~~trizogugu 3rd~~

| Color name = z3g63, Trizogugu comma

| Comma = yes

}}

The '''landscape comma''' is the [[7-limit]] [[unnoticeable comma]] with a ratio of '''250047/250000''' and a size of 0.33 [[cent]]s. It is the amount by which three [[63/50]]'s exceed an [[octave]], the amount by which three [[225/224|septimal kleismas]] fall short of the [[Pythagorean comma]], and also the difference of [[2401/2400]] and [[4375/4374]], the two smallest 7-limit superparticular commas. ~~Tempering 63/50 interval into one degree of 3edo (exact 400 cents)~~ is ~~highly characteristic of~~ [[landscape microtemperaments]] – any ~~tuning system~~ (~~41edo~~, for example) ~~in which the number of divisions of the octave is not a multiple of 3~~ cannot temper out the landscape comma.

The '''landscape comma''' is the [[7-limit]] [[unnoticeable comma]] with a ratio of '''250047/250000''' and a size of 0.33 [[cent]]s. It is the amount by which three [[63/50]]'s exceed an [[octave]], the amount by which three [[225/224|septimal kleismas]] fall short of the [[Pythagorean comma]], and also the difference of [[2401/2400]] and [[4375/4374]], the two smallest 7-limit superparticular commas. An octave widened by this comma is [-3 6 -6 3⟩, a monzo with four [[threeven]] numbers. Thus [[landscape microtemperaments]] split the octave into three parts. It follows that any edo (41, for example) that isn't threeven cannot temper out the landscape comma.

== See also ==

@@ Line 2: / Line 2: @@
 | Ratio = 250047/250000
 | Name = landscape comma
-| Color name = z<sup>3</sup>g<sup>6</sup>3, trizogugu 3rd
+| Color name = z<sup>3</sup>g<sup>6</sup>3, Trizogugu comma
 | Comma = yes
 }}
-The '''landscape comma''' is the [[7-limit]] [[unnoticeable comma]] with a ratio of '''250047/250000''' and a size of 0.33 [[cent]]s. It is the amount by which three [[63/50]]'s exceed an [[octave]], the amount by which three [[225/224|septimal kleismas]] fall short of the [[Pythagorean comma]], and also the difference of [[2401/2400]] and [[4375/4374]], the two smallest 7-limit superparticular commas. Tempering 63/50 interval into one degree of 3edo (exact 400 cents) is highly characteristic of [[landscape microtemperaments]] – any tuning system (41edo, for example) in which the number of divisions of the octave is not a multiple of 3 cannot temper out the landscape comma.
+The '''landscape comma''' is the [[7-limit]] [[unnoticeable comma]] with a ratio of '''250047/250000''' and a size of 0.33 [[cent]]s. It is the amount by which three [[63/50]]'s exceed an [[octave]], the amount by which three [[225/224|septimal kleismas]] fall short of the [[Pythagorean comma]], and also the difference of [[2401/2400]] and [[4375/4374]], the two smallest 7-limit superparticular commas. An octave widened by this comma is [-3 6 -6 3⟩, a monzo with four [[threeven]] numbers. Thus [[landscape microtemperaments]] split the octave into three parts. It follows that any edo (41, for example) that isn't threeven cannot temper out the landscape comma.
 == See also ==