Keemic temperaments: Difference between revisions
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== Quasitemp == | == Quasitemp == | ||
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Quasitemp]].'' | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 82: | Line 71: | ||
Badness: 0.030081 | Badness: 0.030081 | ||
== Chromo == | |||
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Chromo]].'' | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 875/864, 2430/2401 | |||
[[Mapping]]: [{{Val|1 1 2 2}}, {{Val|0 13 7 18}}] | |||
[[POTE generator]]: ~25/24 = 53.816 | |||
{{Val list|legend=1| 22, 45, 67c }} | |||
[[Badness]]: 0.090769 | |||
== Undeka == | |||
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Undeka]].'' | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 875/864, 3200/3087 | |||
[[Mapping]]: [{{Val|11 0 8 31}}, {{Val|0 1 1 0}}] | |||
{{Multival|legend=1|11 11 0 -8 -31 -31}} | |||
[[POTE generator]]: ~3/2 = 708.792 | |||
{{Val list|legend=1| 11c, 22 }} | |||
[[Badness]]: 0.141782 | |||
=== 11-limit === | |||
Sugbroup: 2.3.5.7.11 | |||
Comma list: 100/99, 352/343, 385/384 | |||
Mapping: [{{Val|11 0 8 31 38}}, {{Val|0 1 1 0 0}}] | |||
POTE generator: ~3/2 = 706.768 | |||
Vals: {{Val list| 11c, 22 }} | |||
Badness: 0.068672 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 65/63, 100/99, 169/165, 352/343 | |||
Mapping: [{{Val|11 0 8 31 38 23}}, {{Val|0 1 1 0 0 1}}] | |||
POTE generator: ~3/2 = 707.764 | |||
Vals: {{Val list| 11cf, 22 }} | |||
Badness: 0.056528 | |||
== Barbad == | == Barbad == | ||
Revision as of 08:27, 9 October 2021
These temper out the keema, [-5 -3 3 1⟩ = 875/864. Keemic temperaments include doublewide, flattone, porcupine, superkleismic, magic, keemun, and sycamore. Discussed below are quasitemp and barbad.
Quasitemp
- For the 5-limit version of this temperament, see High badness temperaments #Quasitemp.
Subgroup: 2.3.5.7
Comma list: 875/864, 2401/2400
Mapping: [⟨1 5 5 5], ⟨0 -14 -11 -9]]
Wedgie: ⟨⟨ 14 11 9 -15 -25 -10 ]]
POTE generator: ~25/21 = 292.710
Badness: 0.060269
11-limit
Subgroup: 2.3.5.7.11
Comma list: 100/99, 385/384, 1375/1372
Mapping: [⟨1 5 5 5 2], ⟨0 -14 -11 -9 6]]
POTE generator: ~25/21 = 292.547
Vals: Template:Val list
Badness: 0.043209
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 100/99, 196/195, 275/273, 385/384
POTE generator: ~13/11 = 292.457
Mapping: [⟨1 5 5 5 2 2], ⟨0 -14 -11 -9 6 7]]
POTE generator: ~13/11 = 292.457
Vals: Template:Val list
Badness: 0.032913
Quato
Subgroup: 2.3.5.7.11
Comma list: 243/242, 441/440, 625/616
Mapping: [⟨1 5 5 5 12], ⟨0 -14 -11 -9 -35]]
POTE generator: ~25/21 = 292.851
Vals: Template:Val list
Badness: 0.041170
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 105/104, 243/242, 275/273, 325/324
Mapping: [⟨1 5 5 5 12 12], ⟨0 -14 -11 -9 -35 -34]]
POTE generator: ~13/11 = 292.928
Vals: Template:Val list
Badness: 0.030081
Chromo
- For the 5-limit version of this temperament, see High badness temperaments #Chromo.
Subgroup: 2.3.5.7
Comma list: 875/864, 2430/2401
Mapping: [⟨1 1 2 2], ⟨0 13 7 18]]
POTE generator: ~25/24 = 53.816
Badness: 0.090769
Undeka
- For the 5-limit version of this temperament, see High badness temperaments #Undeka.
Subgroup: 2.3.5.7
Comma list: 875/864, 3200/3087
Mapping: [⟨11 0 8 31], ⟨0 1 1 0]]
Wedgie: ⟨⟨ 11 11 0 -8 -31 -31 ]]
POTE generator: ~3/2 = 708.792
Badness: 0.141782
11-limit
Sugbroup: 2.3.5.7.11
Comma list: 100/99, 352/343, 385/384
Mapping: [⟨11 0 8 31 38], ⟨0 1 1 0 0]]
POTE generator: ~3/2 = 706.768
Vals: Template:Val list
Badness: 0.068672
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 65/63, 100/99, 169/165, 352/343
Mapping: [⟨11 0 8 31 38 23], ⟨0 1 1 0 0 1]]
POTE generator: ~3/2 = 707.764
Vals: Template:Val list
Badness: 0.056528
Barbad
Subgroup: 2.3.5.7
Comma list: 875/864, 16875/16807
Mapping: [⟨1 9 7 11], ⟨0 -19 -12 -21]]
Wedgie: ⟨⟨ 19 12 21 -25 -20 15 ]]
POTE generator: ~98/75 = 468.331
Badness: 0.110448
11-limit
Subgroup: 2.3.5.7.11
Comma list: 245/242, 540/539, 625/616
Mapping: [⟨1 9 7 11 14], ⟨0 -19 -12 -21 -27]]
POTE generator: ~98/75 = 468.367
Vals: Template:Val list
Badness: 0.050105
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 144/143, 196/195, 245/242, 275/273
Mapping: [⟨1 9 7 11 14 8], ⟨0 -19 -12 -21 -27 -11]]
POTE generator: ~13/10 = 468.270
Vals: Template:Val list
Badness: 0.039183