Landscape comma: Difference between revisions
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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]], 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. 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. | ||
== See also == | == See also == | ||
Revision as of 15:21, 3 May 2021
| Interval information |
The landscape comma is the 7-limit unnoticeable comma with a ratio of 250047/250000 and a size of 0.33 cents. It is the amount by which three 63/50's exceed an octave, the amount by which three 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.