1288/1287

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Interval information
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 1.3446479¢
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

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. However, triaphonisma was attested much earlier.

See also