Maja family: Difference between revisions
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This family tempers out the '''maja comma''', {{monzo|-3 -23 17}} = 762939453125/753145430616. | |||
= | |||
= Maja = | |||
[[Comma]]: 762939453125/753145430616 | |||
[[POTE generator]]: ~125/81 = 747.198 | |||
[[Mapping]]: [<1 8 11|, <0 -17 -23|] | |||
{{Val list|legend=1| 45, 53, 432, 485, 538, 591, 644, 697, 750 }} | |||
[[Badness]]: 0.361013 | |||
== 7-limit == | |||
[[Comma list]]: 2430/2401, 3125/3087 | |||
[[Mapping]]: [<1 8 11 13|, <0 -17 -23 -27|] | |||
{{Multival|legend=1| 17 23 27 -3 -5 -2 }} | |||
[[POTE generator]]: ~125/81 = 747.145 | |||
= | {{Val list|legend=1| 8d, 45, 53, 469cd }} | ||
[[Badness]]: 0.089454 | |||
== 11-limit == | |||
Comma list: 99/98, 121/120, 3125/3087 | |||
Mapping: [<1 8 11 13 11|, <0 -17 -23 -27 -20|] | |||
POTE generator: ~77/50 = 747.100 | |||
Vals: {{Val list| 8d, 45e, 53 }} | |||
Badness: 0.049991 | |||
== 13-limit == | |||
Comma list: 176/175, 275/273, 325/324, 540/539 | |||
Mapping: [<1 8 11 13 11 12|, <0 -17 -23 -27 -20 -22|] | |||
POTE generator: ~20/13 = 747.095 | |||
Vals: {{Val list| 8d, 45ef, 53 }} | |||
Badness: 0.027532 | |||
= Majo = | |||
[[Comma list]]: 6144/6125, 1250000/1240029 | |||
[[Mapping]]: [<1 8 11 -7|, <0 -17 -23 26|] | |||
{{Multival|lenegd=1|17 23 -26 -3 -89 -125}} | |||
Badness: 0. | [[POTE generator]]: ~125/81 = 747.264 | ||
{{Val list|lenegd=1| 53, 167, 220 }} | |||
Badness: 0.140489 | |||
== 11-limit == | |||
Comma list: 2200/2187, 3388/3375, 6144/6125 | |||
Mapping: [<1 8 11 -7 31|, <0 -17 -23 26 -73|] | |||
POTE generator: ~77/50 = 747.287 | |||
Vals: {{Val list| 53, 167, 220 }} | |||
Badness: 0.081931 | |||
== 13-limit == | |||
Comma list: 325/324, 352/351, 1001/1000, 2704/2695 | |||
Mapping: [<1 8 11 -7 31 12|, <0 -17 -23 26 -73 -22|] | |||
POTE generator: ~20/13 = 747.286 | |||
Vals: {{Val list| 53, 167, 220 }} | |||
Badness: 0.043128 | |||
{{Category:Temperament family}} | |||
{{Category:Rank 2}} | |||
Revision as of 17:14, 4 May 2021
This family tempers out the maja comma, [-3 -23 17⟩ = 762939453125/753145430616.
Maja
Comma: 762939453125/753145430616
POTE generator: ~125/81 = 747.198
Mapping: [<1 8 11|, <0 -17 -23|]
Badness: 0.361013
7-limit
Comma list: 2430/2401, 3125/3087
Mapping: [<1 8 11 13|, <0 -17 -23 -27|]
Wedgie: ⟨⟨ 17 23 27 -3 -5 -2 ]]
POTE generator: ~125/81 = 747.145
Badness: 0.089454
11-limit
Comma list: 99/98, 121/120, 3125/3087
Mapping: [<1 8 11 13 11|, <0 -17 -23 -27 -20|]
POTE generator: ~77/50 = 747.100
Vals: Template:Val list
Badness: 0.049991
13-limit
Comma list: 176/175, 275/273, 325/324, 540/539
Mapping: [<1 8 11 13 11 12|, <0 -17 -23 -27 -20 -22|]
POTE generator: ~20/13 = 747.095
Vals: Template:Val list
Badness: 0.027532
Majo
Comma list: 6144/6125, 1250000/1240029
Mapping: [<1 8 11 -7|, <0 -17 -23 26|]
⟨⟨ 17 23 -26 -3 -89 -125 ]]
POTE generator: ~125/81 = 747.264
Badness: 0.140489
11-limit
Comma list: 2200/2187, 3388/3375, 6144/6125
Mapping: [<1 8 11 -7 31|, <0 -17 -23 26 -73|]
POTE generator: ~77/50 = 747.287
Vals: Template:Val list
Badness: 0.081931
13-limit
Comma list: 325/324, 352/351, 1001/1000, 2704/2695
Mapping: [<1 8 11 -7 31 12|, <0 -17 -23 26 -73 -22|]
POTE generator: ~20/13 = 747.286
Vals: Template:Val list
Badness: 0.043128