1288/1287
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Ratio
1288/1287
Factorization
23 × 3-2 × 7 × 11-1 × 13-1 × 23
Monzo
[3 -2 0 1 -1 -1 0 0 1⟩
Size in cents
1.344648¢
Names
triaphonisma,
santisma
Color name
23o3u1uz2,
twethothuluzo 2nd,
Twethothuluzo comma
FJS name
[math]\text{A1}^{7,23}_{11,13}[/math]
Special properties
superparticular,
reduced
Tenney height (log2 nd)
20.6607
Weil height (log2 max(n, d))
20.6618
Wilson height (sopfr(nd))
66
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.21508 bits
Comma size
unnoticeable
open this interval in xen-calc
| Interval information |
santisma
twethothuluzo 2nd,
Twethothuluzo comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
1288/1287, the triaphonisma or santisma is a 23-limit superparticular comma of about 1.34 cents. It is the amount by which a stack consisting of 14/11, 16/13 and 23/18 exceeds an octave. By tempering it out is defined the triaphonismic or santismic temperament (full 23-limit rank-8), or the triaphonic or santic temperament (2.3.7.11.13.23 subgroup rank-5).
Etymology
Santisma was named by Xenllium in 2023. It refers to 1288 Santa, the asteroid. (Why the asteroid itself was initially named Santa is unknown.) However, triaphonisma was attested much earlier.