Orwellismic temperaments: Difference between revisions
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These temper out {{monzo| 6 3 -1 -3 }} = 1728/1715, the orwellisma. | These temper out {{monzo| 6 3 -1 -3 }} = 1728/1715, the orwellisma. | ||
Temperaments | Temperaments discussed elsewhere include: | ||
* ''[[beep]]'', {21/20, 27/25} → [[Bug family #Beep]] | * ''[[beep]]'', {21/20, 27/25} → [[Bug family #Beep]] | ||
* ''[[doublewide]]'', {50/49, 875/864} → [[Jubilismic clan #Doublewide]] | * ''[[doublewide]]'', {50/49, 875/864} → [[Jubilismic clan #Doublewide]] | ||
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* [[myna]], {126/125, 1728/1715} → [[Starling temperaments #Myna]] | * [[myna]], {126/125, 1728/1715} → [[Starling temperaments #Myna]] | ||
* [[orwell]], {225/224, 1728/1715} → [[Semicomma family #Orwell]] | * [[orwell]], {225/224, 1728/1715} → [[Semicomma family #Orwell]] | ||
* ''[[secund]]'', {405/392, 525/512} → [[Greenwoodmic temperaments #Secund]] | |||
* ''[[buzzard]]'', {1728/1715, 5120/5103} → [[Hemifamity temperaments #Buzzard]] | * ''[[buzzard]]'', {1728/1715, 5120/5103} → [[Hemifamity temperaments #Buzzard]] | ||
== Secant | == Secant == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 25: | Line 26: | ||
[[Badness]]: 0.095278 | [[Badness]]: 0.095278 | ||
=== 11-limit | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 38: | Line 39: | ||
Badness: 0.046373 | Badness: 0.046373 | ||
=== 13-limit | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 51: | Line 52: | ||
Badness: 0.025035 | Badness: 0.025035 | ||
== Infraorwell | == Infraorwell == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 66: | Line 67: | ||
[[Badness]]: 0.117073 | [[Badness]]: 0.117073 | ||
=== 11-limit | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 79: | Line 80: | ||
Badness: 0.040721 | Badness: 0.040721 | ||
=== 13-limit | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 92: | Line 93: | ||
Badness: 0.023683 | Badness: 0.023683 | ||
== Quartonic | == Quartonic == | ||
{{See also| Turkish maqam music temperaments #Yarman temperament}} | {{See also| Turkish maqam music temperaments #Yarman temperament}} | ||
| Line 107: | Line 108: | ||
[[Badness]]: 0.117250 | [[Badness]]: 0.117250 | ||
=== 7-limit | === 7-limit === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 122: | Line 123: | ||
[[Badness]]: 0.042632 | [[Badness]]: 0.042632 | ||
=== 11-limit | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 135: | Line 136: | ||
Badness: 0.034031 | Badness: 0.034031 | ||
==== 13-limit | ==== 13-limit ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 148: | Line 149: | ||
Badness: 0.023875 | Badness: 0.023875 | ||
=== Quarto | === Quarto === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 161: | Line 162: | ||
Badness: 0.041786 | Badness: 0.041786 | ||
==== 13-limit | ==== 13-limit ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 174: | Line 175: | ||
Badness: 0.027692 | Badness: 0.027692 | ||
=== Quartz | === Quartz === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 187: | Line 188: | ||
Badness: 0.053285 | Badness: 0.053285 | ||
==== 13-limit | ==== 13-limit ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 200: | Line 201: | ||
Badness: 0.028818 | Badness: 0.028818 | ||
== Sentinel | == Sentinel == | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
| Line 213: | Line 214: | ||
[[Badness]]: 0.723413 | [[Badness]]: 0.723413 | ||
=== 7-limit | === 7-limit === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 228: | Line 229: | ||
[[Badness]]: 0.093805 | [[Badness]]: 0.093805 | ||
=== 11-limit | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 241: | Line 242: | ||
Badness: 0.039595 | Badness: 0.039595 | ||
=== 13-limit | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 254: | Line 255: | ||
Badness: 0.037408 | Badness: 0.037408 | ||
== Diesic | == Diesic == | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
| Line 267: | Line 268: | ||
[[Badness]]: 1.344681 | [[Badness]]: 1.344681 | ||
=== 7-limit | === 7-limit === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 282: | Line 283: | ||
[[Badness]]: 0.107348 | [[Badness]]: 0.107348 | ||
=== 11-limit | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 295: | Line 296: | ||
Badness: 0.044186 | Badness: 0.044186 | ||
=== 13-limit | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 308: | Line 309: | ||
Badness: 0.038116 | Badness: 0.038116 | ||
== Pentorwell | == Pentorwell == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
Comma list: 1728/1715, 179200/177147 | [[Comma list]]: 1728/1715, 179200/177147 | ||
Mapping: [{{val| 5 8 12 14 }}, {{val| 0 -1 -6 1 }}] | [[Mapping]]: [{{val| 5 8 12 14 }}, {{val| 0 -1 -6 1 }}] | ||
POTE generator: ~7/4 = 975.0872 | [[POTE generator]]: ~7/4 = 975.0872 | ||
{{Val list|legend=1| 5, 75, 80 }} | {{Val list|legend=1| 5, 75, 80 }} | ||
Badness: 0.148665 | [[Badness]]: 0.148665 | ||
=== 11-limit | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||