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).


'''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.
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 ==
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.
== Ratio ==
'''22528399544939174411840147874772641 / 22517998136852480000000000000000000'''
[[Category:Commas with unknown etymology]]