Stearnsmic clan

From Xenharmonic Wiki
Revision as of 01:16, 1 May 2021 by Xenllium (talk | contribs)
Jump to navigation Jump to search

Stearnsmic temperaments temper out the stearnsma, the no-fives comma [1 10 0 -6 = 118098/117649. Sternismic temperaments not listed include harry, wizard, pogo, hedgehog, septisuperfourth, supers, and octoid.

No-five stearnsmic

Comma: 118098/117649

No-five map: [2 1 0 2], 0 3 0 5]]

No-five POTE generator: ~9/7 = 433.888

No-five vals: Template:Val list

Sternscape

Comma list: 118098/117649, 250047/250000

Mapping: [6 3 2 6], 0 6 11 10]]

Wedgie⟨⟨ 36 66 60 21 -6 -46 ]]

POTE generator: ~245/243 = 16.942

Template:Val list

Badness: 0.090467

11-limit

Comma list: 540/539, 4000/3993, 137781/137500

Mapping: [6 3 2 6 11], 0 6 11 10 9]]

POTE generator: ~245/243 = 16.950

Vals: Template:Val list

Badness: 0.032096

Garistearn

The garistearn temperament (94&282, named by Xenllium) has a period of 1/94 octave and tempers out 118098/117649 and garischisma, 33554432/33480783.

Comma list: 118098/117649, 33554432/33480783

Mapping: [94 149 0 264], 0 0 1 0]]

Wedgie⟨⟨ 0 94 0 149 0 -264 ]]

POTE generator: ~5/4 = 386.7805

Template:Val list

Badness: 0.307043

11-limit

Comma list: 540/539, 4000/3993, 33554432/33480783

Mapping: [94 149 0 264 107], 0 0 1 0 1]]

POTE generator: ~5/4 = 386.5968

Vals: Template:Val list

Badness: 0.082255

13-limit

Comma list: 540/539, 729/728, 1575/1573, 28672/28561

Mapping: [94 149 0 264 107 348], 0 0 1 0 1 0]]

POTE generator: ~5/4 = 386.8141

Vals: Template:Val list

Badness: 0.045941

17-limit

Comma list: 540/539, 729/728, 1156/1155, 1575/1573, 2880/2873

Mapping: [94 149 0 264 107 348 166], 0 0 1 0 1 0 1]]

POTE generator: ~5/4 = 386.8420

Vals: Template:Val list

Badness: 0.027608