Gaster comma
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| Factorization | 2-70 × 372 × 5-19 |
| Monzo | [-70 72 -19⟩ |
| Size in cents | 0.79949888¢ |
| Name | gaster comma |
| Color name | L8g19-3, quadbila-negu negative 3rd |
| FJS name | [math]\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 height (log2 nd) | 228.234 |
| Weil height (log2 max(n, d)) | 228.235 |
| Wilson height (sopfr(nd)) | 451 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.20578 bits |
| Comma size | unnoticeable |
| open this interval in xen-calc | |
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.
Ratio
22528399544939174411840147874772641 / 22517998136852480000000000000000000