Frameshift

From Xenharmonic Wiki
Jump to navigation Jump to search

The temperament generated by tempering out the frameshift comma.

It still needs to be decided whether this name refers to the higher-rank 11-limit tuning implied by the comma, or whether this name applies to the the rank-2 2.3.11 subgroup tuning implied by the comma.

Whichever it is, the other temperament will have to be given another name that relates to frameshift in some way.

See also the frameshift microtemperaments, various other temperaments that temper the comma.

Rank-2 frameshift?

Subgroup: 2.3.11

Comma list: 22876792454961/22866405883904

Mapping: [1 1 -2], 0 3 28]]

POTE generator: ~8/7 = 233.9749

Recommended EDOs: 159, 518, 359, 677, 318, 200, 836, 1036, 877, 1195

Complexity: 3.456776

Adjusted Error: 0.027616 cents

TE Error: 0.007983 cents/octave

Rank-4 frameshift?

Subgroup: 2.3.5.7.11

Comma list: 22876792454961/22866405883904

Mapping: [1 1 0 0 -2], 0 3 0 0 28], 0 0 1 0 0], 0 0 0 1 0]]

POTE generators: 1200.0000, 233.9749, 2786.2945, 3368.8027

Recommended EDOs: 1236, 836, 2190, 954, 2072, 1354, 400, 118, 3026, 1395

Complexity: 0.063636

Adjusted Error: 0.021391 cents

TE Error: 0.006183 cents/octave

Icon-Todo.png Todo: discuss title, expand