Sesdecal comma
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Ratio
234375/234256
Factorization
2-4 × 3 × 57 × 11-4
Monzo
[-4 1 7 0 -4⟩
Size in cents
0.87922846¢
Name
sesdecal comma
FJS name
[math]\text{dddd}{-2}^{5,5,5,5,5,5,5}_{11,11,11,11}[/math]
Special properties
reduced
Tenney height (log2 nd)
35.6762
Weil height (log2 max(n, d))
35.6769
Wilson height (sopfr(nd))
90
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.20545 bits
Comma size
unnoticeable
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
The sesdecal comma (monzo: [-4 1 7 0 -4⟩, ratio: 234375/234256) is an unnoticeable 11-limit (also 2.3.5.11 subgroup) comma measuring about 0.879 cents. It is the difference between four intervals of 25/22 and 5/3. Lériendil observed that this comma also functions as a way to introduce prime 41 into the 2.3.5.11 subgroup, by noting this to be the difference between 1025/1024 and 600281/600000.
Etymology
The sesdecal was named before 2023[1], though its etymology seems lost. The "decal" part presumably refers to the decal temperament, which tempers it out.