User:BudjarnLambeth/Bird’s eye view of rank-2 temperaments: Difference between revisions
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Feel free to add temperaments to the appropriate category if they are not already here. (If you're not sure which category to put them in, put them in honorable mentions). | Feel free to add temperaments to the appropriate category if they are not already here. (If you're not sure which category to put them in, put them in honorable mentions). | ||
== | == Low complexity temperaments == | ||
Temperaments which approximate most of their consonant intervals with less than 30 notes, and where those intervals are mostly less than 20 cents out of tune. | Temperaments which approximate most of their consonant intervals with less than 30 notes, and where those intervals are mostly less than 20 cents out of tune. | ||
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1.1 5-limit | '''1.1''' 5-limit | ||
[[Meantone]], [[augmented]], [[mavila]], [[porcupine]], [[blackwood]], [[diminished]], [[srutal]] | [[Meantone]], [[augmented]], [[mavila]], [[porcupine]], [[blackwood]], [[diminished]], [[srutal]] | ||
1.2 7-limit | '''1.2''' 7-limit | ||
[[Blacksmith]], [[diminished|septimal diminished]], [[dominant]], [[august]], [[pajara]], [[semaphore]], [[septimal meantone]], [[injera]], [[negri|septimal negri]], [[augene]] | [[Blacksmith]], [[diminished|septimal diminished]], [[dominant]], [[august]], [[pajara]], [[semaphore]], [[septimal meantone]], [[injera]], [[negri|septimal negri]], [[augene]] | ||
1.3 No-2s subgroups of 7-limit | '''1.3''' No-2s subgroups of 7-limit | ||
1.4 Other subgroups of 7-limit | '''1.4''' Other subgroups of 7-limit | ||
1.5 11-limit | '''1.5''' 11-limit | ||
[[Duodecim]], [[meanenneadecal]], [[dominant|undecimal dominant]], [[triforce]], [[injera|undecimal injera]], [[negric]], [[augene|undecimal augene]] | [[Duodecim]], [[meanenneadecal]], [[dominant|undecimal dominant]], [[triforce]], [[injera|undecimal injera]], [[negric]], [[augene|undecimal augene]], [[godzilla]], [[hedgehog|undecimal hedgehog]], [[darjeeling]], [[progress]], [[porcupine|undecimal porcupine]], [[keemun|undecimal keemun]], [[undevigintone]], [[pajara|undecimal pajara]], [[nautilus|undecimal nautilus]], [[flattone|undecimal flattone] | ||
1.6 No-2s subgroups of 11-limit | '''1.6''' No-2s subgroups of 11-limit | ||
1.7 Other subgroups of 11-limit | '''1.7''' Other subgroups of 11-limit | ||
1.8 13-limit | '''1.8''' 13-limit | ||
1.9 No-2s of 13-limit | '''1.9''' No-2s of 13-limit | ||
1.10 No-2s subgroups of 13-limit | '''1.10''' No-2s subgroups of 13-limit | ||
1.11 Other subgroups of 13-limit | '''1.11''' Other subgroups of 13-limit | ||
1.12 Higher limits | '''1.12''' Higher limits | ||
1.13 No-2s higher limit subgroups | '''1.13''' No-2s higher limit subgroups | ||
1. | '''1.14''' Other higher limit subgroups | ||
== | == Medium complexity temperaments == | ||
Temperaments which approximate most of their consonant intervals with less than 70 notes, and where those intervals are mostly less than 5 cents out of tune. | Temperaments which approximate most of their consonant intervals with less than 70 notes, and where those intervals are mostly less than 5 cents out of tune. | ||
2.1 5-limit | '''2.1''' 5-limit | ||
[[Magic]], [[ripple]], [[hanson]], [[negri]], [[tetracot]], [[superpyth]], [[helmholtz]], [[sensi]], [[passion]], [[wuerschmidt]], [[compton]], [[amity]], [[orson]] | [[Magic]], [[ripple]], [[hanson]], [[negri]], [[tetracot]], [[superpyth]], [[helmholtz]], [[sensi]], [[passion]], [[wuerschmidt]], [[compton]], [[amity]], [[orson]] | ||
2.2 7-limit | '''2.2''' 7-limit | ||
[[Keemun]], [[catler]], [[hedgehog]], [[superpyth|septimal superpyth]], [[sensi|septimal sensi]], [[lemba]], [[porcupine|septimal porcupine]], [[flattone]], [[magic|septimal magic]], [[doublewide]], [[nautilus]], [[beatles]], [[liese]], [[cynder]], [[orwell]], [[garibaldi]], [[myna]], [[miracle]] | [[Keemun]], [[catler]], [[hedgehog]], [[superpyth|septimal superpyth]], [[sensi|septimal sensi]], [[lemba]], [[porcupine|septimal porcupine]], [[flattone]], [[magic|septimal magic]], [[doublewide]], [[nautilus]], [[beatles]], [[liese]], [[cynder]], [[orwell]], [[garibaldi]], [[myna]], [[miracle]] | ||
2.3 No-2s subgroups of 7-limit | '''2.3''' No-2s subgroups of 7-limit | ||
2.4 Other subgroups of 7-limit | '''2.4''' Other subgroups of 7-limit | ||
2.5 11-limit | '''2.5''' 11-limit | ||
[[ | [[Pajarous]], [[catnip]], [[telepathy]], [[porky]], [[sensis]], [[suprapyth]], [[vigintiduo]], [[undecimal meantone]], [[fleetwood]], [[astrology]], [[negroni]], [[quasisupra]], [[orwell|undecimal orwell]], [[squares]], [[superpyth|undecimal superpyth]], [[valentine]], [[mohajira]], [[magic|undecimal magic]], [[meanpop]], [[migration]], [[nusecond]], [[andromeda]], [[miracle]] | ||
2.6 No-2s subgroups of 11-limit | '''2.6''' No-2s subgroups of 11-limit | ||
2.7 Other subgroups of 11-limit | '''2.7''' Other subgroups of 11-limit | ||
2.8 13-limit | '''2.8''' 13-limit | ||
2.9 No-2s of 13-limit | '''2.9''' No-2s of 13-limit | ||
2.10 No-2s subgroups of 13-limit | '''2.10''' No-2s subgroups of 13-limit | ||
2.11 Other subgroups of 13-limit | '''2.11''' Other subgroups of 13-limit | ||
2.12 Higher limits | '''2.12''' Higher limits | ||
2.13 No-2s higher limit subgroups | '''2.13''' No-2s higher limit subgroups | ||
2.14 Other higher limit subgroups | '''2.14''' Other higher limit subgroups | ||
== | == High complexity temperaments == | ||
Temperaments where most of their consonant intervals are less than 1 cent out of tune. | Temperaments where most of their consonant intervals are less than 1 cent out of tune. | ||
3.1 5-limit | '''3.1''' 5-limit | ||
[[Vishnu]], [[luna]] | [[Vishnu]], [[luna]] | ||
3.2 7-limit | '''3.2''' 7-limit | ||
[[Ennealimmal]] | [[Ennealimmal]] | ||
3.3 No-2s subgroups of 7-limit | '''3.3''' No-2s subgroups of 7-limit | ||
3.4 Other subgroups of 7-limit | '''3.4''' Other subgroups of 7-limit | ||
3.5 11-limit | '''3.5''' 11-limit | ||
[[Hemiennealimmal]] | [[Hemiennealimmal]] | ||
3.6 No-2s subgroups of 11-limit | '''3.6''' No-2s subgroups of 11-limit | ||
3.7 Other subgroups of 11-limit | '''3.7''' Other subgroups of 11-limit | ||
3.8 13-limit | '''3.8''' 13-limit | ||
3.9 No-2s of 13-limit | '''3.9''' No-2s of 13-limit | ||
3.10 No-2s subgroups of 13-limit | '''3.10''' No-2s subgroups of 13-limit | ||
3.11 Other subgroups of 13-limit | '''3.11''' Other subgroups of 13-limit | ||
3.12 Higher limits | '''3.12''' Higher limits | ||
3.13 No-2s higher limit subgroups | '''3.13''' No-2s higher limit subgroups | ||
3.14 Other higher limit subgroups | '''3.14''' Other higher limit subgroups | ||
== | == Honorable mentions == | ||
Temperaments which are interesting in some way, but might not meet the criteria for the other lists. | Temperaments which are interesting in some way, but might not meet the criteria for the other lists. | ||
4.1 5-limit | '''4.1''' 5-limit | ||
4.2 7-limit | '''4.2''' 7-limit | ||
4.3 No-2s subgroups of 7-limit | '''4.3''' No-2s subgroups of 7-limit | ||
4.4 Other subgroups of 7-limit | '''4.4''' Other subgroups of 7-limit | ||
4.5 11-limit | '''4.5''' 11-limit | ||
4.6 No-2s subgroups of 11-limit | '''4.6''' No-2s subgroups of 11-limit | ||
4.7 Other subgroups of 11-limit | '''4.7''' Other subgroups of 11-limit | ||
4.8 13-limit | '''4.8''' 13-limit | ||
4.9 No-2s of 13-limit | '''4.9''' No-2s of 13-limit | ||
4.10 No-2s subgroups of 13-limit | '''4.10''' No-2s subgroups of 13-limit | ||
4.11 Other subgroups of 13-limit | '''4.11''' Other subgroups of 13-limit | ||
4.12 Higher limits | '''4.12''' Higher limits | ||
4.13 No-2s higher limit subgroups | '''4.13''' No-2s higher limit subgroups | ||
4.14 Other higher limit subgroups | '''4.14''' Other higher limit subgroups | ||
== | == Exotemperaments == | ||
Temperaments where most intervals are at least 20 cents out of tune. | Temperaments where most intervals are at least 20 cents out of tune. | ||
5.1 5-limit | '''5.1''' 5-limit | ||
[[Father]], [[bug]] | [[Father]], [[bug]] | ||
5.2 7-limit | '''5.2''' 7-limit | ||
5.3 No-2s subgroups of 7-limit | '''5.3''' No-2s subgroups of 7-limit | ||
5.4 Other subgroups of 7-limit | '''5.4''' Other subgroups of 7-limit | ||
5.5 11-limit | '''5.5''' 11-limit | ||
5.6 No-2s subgroups of 11-limit | '''5.6''' No-2s subgroups of 11-limit | ||
5.7 Other subgroups of 11-limit | '''5.7''' Other subgroups of 11-limit | ||
5.8 13-limit | '''5.8''' 13-limit | ||
5.9 No-2s of 13-limit | '''5.9''' No-2s of 13-limit | ||
5.10 No-2s subgroups of 13-limit | '''5.10''' No-2s subgroups of 13-limit | ||
5.11 Other subgroups of 13-limit | '''5.11''' Other subgroups of 13-limit | ||
5.12 Higher limits | '''5.12''' Higher limits | ||
5.13 No-2s higher limit subgroups | '''5.13''' No-2s higher limit subgroups | ||
5.14 Other higher limit subgroups | '''5.14''' Other higher limit subgroups | ||