Gaster comma: Difference between revisions
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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). | 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]]. | It can also be described as the difference between eighteen [[81/80]]<nowiki/>s and [[5/4]]. It is the [[Don Page comma]] between 9/8 and 10/9. | ||
== Temperaments == | == Temperaments == | ||
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== Ratio == | == Ratio == | ||
'''22528399544939174411840147874772641 / 22517998136852480000000000000000000''' | '''22528399544939174411840147874772641 / 22517998136852480000000000000000000''' | ||
[[Category:Commas with unknown etymology]] | |||
Latest revision as of 19:02, 21 February 2025
| Interval information |
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. It is the Don Page comma between 9/8 and 10/9.
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.
Ratio
22528399544939174411840147874772641 / 22517998136852480000000000000000000