1288/1287

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	1.344648¢
Names	triaphonisma, santisma
Color name	23o3u1uz2, twethothuluzo 2nd, Twethothuluzo comma
FJS name	[math]\displaystyle{ \text{A1}^{7,23}_{11,13} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	20.6607
Weil norm (log2 max(n, d))	20.6618
Wilson norm (sopfr(nd))	66
Comma size	unnoticeable
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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

• Unnoticeable comma
• List of superparticular intervals
• Triaphonismic chords