Nanisma: Difference between revisions

'''Nanisma''' ([[monzo]]: {{monzo| 109 -67 0 -1 }}) is a no-five [[7-limit]] [[unnoticeable comma]] measuring about 0.189 [[cent]]s in size. It is the tiny interval between the pythagorean ratio {{monzo| 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 {{monzo| 108 -68 }} (a stack of four [[17-comma]]s) and the septimal minor third of ratio [[7/6]], and also the difference between {{monzo| -109 69 }} and the wide septimal major third of ratio [[9/7]].

The nanisma is tempered out in such notable edos as {{EDOs| 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.

[[Subgroup]]: 2.3.7

[[Comma list]]: {{monzo| 109 -67 -1 }}

[[Sval]] [[mapping]]: [{{val| 1 2 -25 }}, {{val| 0 -1 67 }}]

[[Optimal tuning]] ([[POTE]]): ~3/2 = 701.9578

{{Val list|legend=1| 53, 200, 253, 306, 665, 971, 1277, 4137, 5414, 6691, 7968 }}