Gaster comma: Difference between revisions

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'''211070580886405/721742671648''', 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). 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 02:53, 7 July 2023

Interval information
Factorization 2-70 × 372 × 5-19
Monzo [-70 72 -19
Size in cents 0.7994989¢
Name gaster comma
FJS name [math]\displaystyle{ \text{M}{-3}_{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 228.234
Weil norm (log2 max(n, d)) 228.235
Wilson norm (sopfr(nd)) 451
Comma size unnoticeable
Open this interval in xen-calc

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). 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.