# Nanisma

 Factorization 2109 × 3-67 × 7-1 Monzo [109 -67 0 -1⟩ Size in cents 0.18903555¢ Name nanisma Color name s10r7, quinbisaru 7th FJS name $\text{9d7}_{7}$ Special properties reduced,reduced subharmonic Tenney height (log2 nd) 218 Weil height (log2 max(n, d)) 218 Wilson height (sopfr (nd)) 426 Harmonic entropy(Shannon, $\sqrt{nd}$) ~1.19855 bits Comma size unnoticeable open this interval in xen-calc

Nanisma (monzo[109 -67 0 -1) is a no-five 7-limit unnoticeable comma measuring about 0.189 cents in size. It is the tiny interval between the pythagorean ratio [107 -67 and the harmonic minor-7th of ratio 7/4.

The nanisma is considered as a 3=7 xenharmonic bridge. It also describes the difference between [108 -68 (a stack of four 17-commas) and the septimal minor third of ratio 7/6, and also the difference between [-109 69 and the wide septimal major third of ratio 9/7. It can also be thought of as the difference between Mercator's comma and the garischisma.

## Temperaments

The nanisma is tempered out in such notable edos as 306, 612, 1277, 1583, 2860, 4137, 4802, 5414, 6079, 6691, 11493, 12105, and 12770, leading to the nanismic temperament, in which sixty-seven fifths make up a septimal whole tone 8/7 with octave reduction.

### Nanismic

Subgroup: 2.3.5.7

Comma list: [109 -67 0 -1

Mapping[1 0 0 109], 0 1 0 -67], 0 0 1 0]]

sval mapping generators: ~2, ~3, ~5

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.9578, ~5/4 = 386.3137

### Nanic

Subgroup: 2.3.7

Comma list: [109 -67 -1

Sval mapping[1 0 109], 0 1 -67]]

sval mapping generators: ~2, ~3

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.9578