The Biosphere: Difference between revisions
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== Biosphere == | == Biosphere == | ||
Subgroup: | Subgroup: full 13-limit | ||
Comma list: 91/90 | Comma list: 91/90 | ||
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[[POTE generator]]: ~4/3 = 486.090 | [[POTE generator]]: ~4/3 = 486.090 | ||
Mapping: [ | Mapping: [{{val| 1 2 2 3 }}, {{val| 0 -1 2 -4 }}] | ||
{{Val list|legend=1| 27, 32 }} | {{Val list|legend=1| 27, 32 }} | ||
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== Oceanfront Children == | == Oceanfront Children == | ||
=== Superpyth === | === Superpyth === | ||
{{see also| Archytas clan #Superpyth }} | |||
Extends 11-limit superpyth as 22&49. | Extends 11-limit superpyth as 22&49. | ||
Subgroup: | Subgroup: full 13-limit | ||
Comma list: 91/90, 64/63, 78/77, 245/243 | Comma list: 91/90, 64/63, 78/77, 245/243 | ||
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[[POTE generator]]: ~4/3 = 489.521 | [[POTE generator]]: ~4/3 = 489.521 | ||
Mapping: [ | Mapping: [{{val| 1 2 6 2 10 9 }}, {{val| 0 -1 -9 2 -16 -13 }}] | ||
{{Val list|legend=1| 22, 27e, 32c, 37e, 49, 76bcde }} | {{Val list|legend=1| 22, 27e, 32c, 37e, 49, 76bcde }} | ||
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=== Porcupinefish === | === Porcupinefish === | ||
{{see also| Porcupine family #Porcupinefish }} | |||
Porcupinefish is the 13-limit extension of [[Porcupine|porcupine]] that you get by adding 91/90 to the usual mix of porcupine temperaments. Its name is derived from that it is a combination of the porcupine and oceanfront temperaments. | Porcupinefish is the 13-limit extension of [[Porcupine|porcupine]] that you get by adding 91/90 to the usual mix of porcupine temperaments. Its name is derived from that it is a combination of the porcupine and oceanfront temperaments. | ||
Subgroup: 13-limit | Subgroup: full 13-limit | ||
Comma list: 91/90, 64/63, 250/243, 121/120 | Comma list: 91/90, 64/63, 250/243, 121/120 | ||
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[[POTE generator]]: ~10/9 = 162.277 | [[POTE generator]]: ~10/9 = 162.277 | ||
Mapping: [ | Mapping: [{{val| 1 2 3 2 4 6 }}, {{val| 0 -3 -5 6 -4 -17 }}] | ||
{{Val list|legend=1| 15, 22, 37, 59 }} | {{Val list|legend=1| 15, 22, 37, 59 }} | ||
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== Tropic == | == Tropic == | ||
Tropic is the merger of the biosphere and the [[The Archipelago|archipelago]]. It is also a subgroup relative of semaphore temperament, since 49/48 vanishes. Of note is that 676/675 vanishes, so that two 7/6's (or 15/13)'s is equated with 4/3. While this temperament doesn't take advantage of the nearly pure harmonies that biome tempering can offer, particularly where 7/4 is involved, it still has some use, particularly for those who don't mind a bit more error in their tunings. | Tropic is the merger of the biosphere and the [[The Archipelago|archipelago]]. It is also a subgroup relative of semaphore temperament, since [[49/48]] vanishes. Of note is that [[676/675]] vanishes, so that two 7/6's (or 15/13)'s is equated with 4/3. While this temperament doesn't take advantage of the nearly pure harmonies that biome tempering can offer, particularly where 7/4 is involved, it still has some use, particularly for those who don't mind a bit more error in their tunings. | ||
Subgroup: 2.3.7.13/5 | Subgroup: 2.3.7.13/5 | ||
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[[POTE generator]]: ~7/6 = 251.507 | [[POTE generator]]: ~7/6 = 251.507 | ||
Mapping: [ | Mapping: [{{val| 1 2 3 2 }}, {{val| 0 -2 -1 -3 }}] | ||
{{Val list|legend=1| 19, 24 }} | {{Val list|legend=1| 19, 24 }} | ||
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[[POTE generator]]: 443.322 | [[POTE generator]]: 443.322 | ||
Mapping: [ | Mapping: [{{val| 1 -1 -1 -2 0 }}, {{val| 0 7 9 13 10 }}] | ||
{{Val list|legend=1| 19, 27, 46 }} | {{Val list|legend=1| 19, 27, 46 }} | ||
== Echidnic == | == Echidnic == | ||
{{see also| Diaschismic family #Echidnic }} | |||
13-limit echidnic temperament, the 10&46 temperament, is about as accurate as a biosphere temperament can get. | |||
[[Category:Theory]] | [[Category:Theory]] | ||