Gaster comma: Difference between revisions
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'''22528399544939174411840147874772641/22517998136852480000000000000000000''', the '''gaster comma''' is a 5-limit [[unnoticeable comma]] measuring about 0.7995 cents. It is the difference between a stack of seventeen [[9/8]]s and a stack of nineteen [[10/9]]s, (9/8)<sup>17</sup>/(10/9)<sup>19</sup> = {{monzo|-70 72 -19}} (quadbila-negu). Equal temperaments which temper out this comma include {{EDOs| 111, 113, 224, 335, 559, 783, 1342, 1901, 3243 }} and others. | '''22528399544939174411840147874772641/22517998136852480000000000000000000''', the '''gaster comma''' is a 5-limit [[unnoticeable comma]] measuring about 0.7995 cents. It is the difference between a stack of seventeen [[9/8]]s and a stack of nineteen [[10/9]]s, (9/8)<sup>17</sup>/(10/9)<sup>19</sup> = {{monzo|-70 72 -19}} (quadbila-negu). | ||
It can also be described as the difference between eighteen [[81/80]]<nowiki/>s and [[5/4]]. | |||
== Temperaments == | |||
Equal temperaments which temper out this comma include {{EDOs| 111, 113, 224, 335, 559, 783, 1342, 1901, 3243 }} and others. | |||
The gaster comma is tempered out by the [[gaster]] temperament. | The gaster comma is tempered out by the [[gaster]] temperament. | ||
Revision as of 22:04, 7 November 2023
| Interval information |
22528399544939174411840147874772641/22517998136852480000000000000000000, the gaster comma is a 5-limit unnoticeable comma measuring about 0.7995 cents. It is the difference between a stack of seventeen 9/8s and a stack of nineteen 10/9s, (9/8)17/(10/9)19 = [-70 72 -19⟩ (quadbila-negu).
It can also be described as the difference between eighteen 81/80s and 5/4.
Temperaments
Equal temperaments which temper out this comma include 111, 113, 224, 335, 559, 783, 1342, 1901, 3243 and others.
The gaster comma is tempered out by the gaster temperament.