Stearnsmic clan: Difference between revisions
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Stearnsmic temperaments temper out the stearnsma, the no-fives comma {{monzo|1 10 0 -6}} = 118098/117649. Sternismic temperaments not listed include [[Gravity family #Harry|harry]], [[Marvel temperaments #Wizard|wizard]], [[Schismatic family #Pogo|pogo]], [[Porcupine family #Hedgehog|hedgehog]], [[Porwell temperaments #Septisuperfourth|septisuperfourth]], [[Hemifamity temperaments #Supers|supers]], and [[Ragismic microtemperaments|octoid]]. | Stearnsmic temperaments temper out the stearnsma, the no-fives comma {{monzo|1 10 0 -6}} = 118098/117649. Sternismic temperaments not listed include [[Gravity family #Harry|harry]], [[Marvel temperaments #Wizard|wizard]], [[Schismatic family #Pogo|pogo]], [[Porcupine family #Hedgehog|hedgehog]], [[Porwell temperaments #Septisuperfourth|septisuperfourth]], [[Hemifamity temperaments #Supers|supers]], and [[Ragismic microtemperaments #Octoid|octoid]]. | ||
== No-five stearnsmic == | == No-five stearnsmic == | ||
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Badness: 0.027608 | Badness: 0.027608 | ||
= Decistearn = | |||
The ''decistearn'' temperament (80&130, named by [[User:Xenllium|Xenllium]]) has a period of 1/10 octave and tempers out the [[3136/3125|hemimean comma]], 3136/3125 as well as the [[15/14ths equal temperament|linus comma]]. | |||
[[Comma list]]: 3136/3125, 118098/117649 | |||
[[Mapping]]: [{{val|10 17 24 30}}, {{val|0 -3 -2 -5}}] | |||
{{Multival|legend=1| 30 20 50 -38 -5 60 }} | |||
[[POTE generator]]: ~6/5 = 313.960 | |||
{{Val list|legend=1| 50, 80, 130, 470cd, 600cd, 730cd, 860ccd }} | |||
[[Badness]]: 0.095543 | |||
== 11-limit == | |||
Comma list: 540/539, 3136/3125, 4000/3993 | |||
Mapping: [{{val|10 17 24 30 35}}, {{val|0 -3 -2 -5 -1}}] | |||
POTE generator: ~6/5 = 314.079 | |||
Vals: {{Val list| 50, 80, 130, 210e, 340ce }} | |||
Badness: 0.038556 | |||
== 13-limit == | |||
Comma list: 351/350, 364/363, 540/539, 3136/3125 | |||
Mapping: [{{val|10 17 24 30 35 37}}, {{val|0 -3 -2 -5 -1 0}}] | |||
POTE generator: ~6/5 = 313.947 | |||
Vals: {{Val list| 50, 80, 130 }} | |||
Badness: 0.026895 | |||
== 17-limit == | |||
Comma list: 221/220, 289/288, 351/350, 540/539, 1632/1625 | |||
Mapping: [{{val|10 17 24 30 35 37 42}}, {{val|0 -3 -2 -5 -1 0 -3}}] | |||
POTE generator: ~6/5 = 313.931 | |||
Vals: {{Val list| 50, 80, 130 }} | |||
Badness: 0.024234 | |||
== 19-limit == | |||
Comma list: 221/220, 289/288, 351/350, 361/360, 456/455, 476/475<br> | |||
Mapping: [{{val|10 17 24 30 35 37 42 44}}, {{val|0 -3 -2 -5 -1 0 -3 -4}}] | |||
POTE generator: ~6/5 = 313.949 | |||
Vals: {{Val list| 50, 80, 130 }} | |||
Badness: 0.018232 | |||
[[Category:Theory]] | [[Category:Theory]] | ||
[[Category:Temperament clan]] | [[Category:Temperament clan]] | ||
Revision as of 02:29, 1 May 2021
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
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
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
Decistearn
The decistearn temperament (80&130, named by Xenllium) has a period of 1/10 octave and tempers out the hemimean comma, 3136/3125 as well as the linus comma.
Comma list: 3136/3125, 118098/117649
Mapping: [⟨10 17 24 30], ⟨0 -3 -2 -5]]
Wedgie: ⟨⟨ 30 20 50 -38 -5 60 ]]
POTE generator: ~6/5 = 313.960
Badness: 0.095543
11-limit
Comma list: 540/539, 3136/3125, 4000/3993
Mapping: [⟨10 17 24 30 35], ⟨0 -3 -2 -5 -1]]
POTE generator: ~6/5 = 314.079
Vals: Template:Val list
Badness: 0.038556
13-limit
Comma list: 351/350, 364/363, 540/539, 3136/3125
Mapping: [⟨10 17 24 30 35 37], ⟨0 -3 -2 -5 -1 0]]
POTE generator: ~6/5 = 313.947
Vals: Template:Val list
Badness: 0.026895
17-limit
Comma list: 221/220, 289/288, 351/350, 540/539, 1632/1625
Mapping: [⟨10 17 24 30 35 37 42], ⟨0 -3 -2 -5 -1 0 -3]]
POTE generator: ~6/5 = 313.931
Vals: Template:Val list
Badness: 0.024234
19-limit
Comma list: 221/220, 289/288, 351/350, 361/360, 456/455, 476/475
Mapping: [⟨10 17 24 30 35 37 42 44], ⟨0 -3 -2 -5 -1 0 -3 -4]]
POTE generator: ~6/5 = 313.949
Vals: Template:Val list
Badness: 0.018232