1288/1287
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Ratio | 1288/1287 |
Factorization | 2^{3} × 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 (log_{2} nd) | 20.6607 |
Weil height (log_{2} 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.