Orgonisma

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Interval information
Ratio 65536/65219
Factorization 216 × 7-2 × 11-3
Monzo [16 0 0 -2 -3⟩
Size in cents 8.39436 ¢
Name orgonisma
Color name Satrilu-aruru
FJS name [math]\displaystyle{ \text{A1}_{7,7,11,11,11} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 31.993
Weil norm (log2 max(n, d)) 32
Wilson norm (sopfr(nd)) 79
Comma size small
Open this interval in xen-calc

The orgonisma (ratio: 65536/65219) is a small comma in the 11-limit that is about 8.39 cents in size. It forms the difference between a stack of three 11/8 semi-augmented fourths and a stack consisting of two 8/7 whole tones (i.e. 64/49) plus an octave.

It factors into simpler commas as (4000/3993)⋅(6144/6125) or (540/539)⋅(16384/16335). It is also the sum of the rastma and the olympia.

Temperaments

Tempering out this comma leads to one of the ragtag group of temperaments that are collectivelly known as "Orgonia".

Trivia

This comma differs from the gamelisma by a tiny margin, 67110351/67108864 (0.04 ¢)

See also