User:BudjarnLambeth/Sandbox
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List entry format: * Temperament name (1.5 x [[graham complexity]], 2 x graham complexity, [[badness]] to 2 sig fig - copied from wiki temperament pages) How to calculate graham complexity: 1. Subtract the smallest number in the second row of the temperament's mapping, from the largest 2. Multiply the result by the number of periods per equave ''To-do: Re-sort the temperaments in each clump by [[damage]], instead of by badness.'' (!!!) Indicates a temperament was manually moved to a different 'note count' category because the clumsy note count gave a very strange result. == 5LIM == ~10 NOTES/EQUAVE * [[Meantone]] (6, 8, 0.0074) * [[Hanson]] (9, 12, 0.013) * [[Augmented]] (4.5, 6, 0.022) * [[Porcupine]] (7.5, 10, 0.031) * [[Magic]] (7.5, 10, 0.039) * [[Mavila]] (6, 8, 0.040) * [[Dimipent]] (6, 8, 0.047) * [[Blackwood]] (7.5, 10, 0.064) * [[Negri]] (10.5, 14, 0.087) * [[Misty]] (7.5, 10, 0.11) * [[Whitewood]] (10.5, 14, 0.16) ~20 NOTES/EQUAVE * [[Wuerschmidt]] (12, 16, 0.041) * [[Orson]] (15, 20, 0.041) * [[Helmholtz]] (12, 16, 0.0043) * [[Sensipent]] (13.5, 18, 0.035) * [[Diaschismic]] (12, 16, 0.038) * [[Tetracot]] (13.5, 18, 0.049) * [[Compton]] (18, 24, 0.094) * [[Valentine]] (13.5, 18, 0.12) * [[Superpyth]] (18, 0.14) * [[Ripple]] (12, 16, 0.14) * [[Passion]] (13.5, 18, 0.17) ~30 NOTES/EQUAVE * [[Kwazy]] (19.5, 26, 0.014) * [[Luna]] (22.5, 30, 0.021) * [[Amity]] (19.5, 26, 0.022) * [[Vishnu]] (10.5, 14, 0.031) (!!!) * [[Parakleismic]] (21, 28, 0.043) * [[Gravity]] (25.5, 34, 0.093) ~40 NOTES/EQUAVE ~50 NOTES/EQUAVE * [[Ennealimmal]] (40.5, 54, ??) >60 NOTES/EQUAVE * [[Minortone]] (52.5, 70, 0.030) == 7LIM == ~10 NOTES/EQUAVE * [[Pajara]] (4, 6, 0.020) * [[Dominant]] (4, 0.021) * [[Diminished]] (5, 0.022) * [[Augene]] (12, 0.025) * [[Blacksmith]] (6, 0.026) * [[August]] (8, 0.026) * [[Negri]] (8, 0.026) * [[Keemun]] (12, 0.027) * [[Injera]] (12, 0.031) * [[Opossum]] (18, 0.041) (!) * [[Porcupine]] (12, 0.041) * [[Doublewide]] (12, 0.043) * [[Inflated]] (12, 0.055) * [[Superpelog]] (12, 0.058) * [[Lemba]] (9, 0.062) * [[Shrutar]] (14, 0.19) ~20 NOTES/EQUAVE * [[Meantone]] (15, 20, 0.014) * [[Magic]] (18, 24, 0.019) * [[Orwell]] (16.5, 22, 0.021) * [[Myna]] (15, 20, 0.027) * [[Godzilla]] (12, 16, 0.027) * [[Valentine]] (18, 24, 0.031) * [[Superpyth]] (13.5, 18, 0.032) * [[Mothra]] (18, 24, 0.037) * [[Diaschismic]] (18, 0.038)****** * [[Flattone]] (13.5, 18, 0.039) * [[Hedgehog]] (15, 0.044)****** * [[Beatles]] (13.5, 18, 0.046) * [[Liese]] (16.5, 22, 0.047) * [[Catler]] (18, 24, 0.050) (!) * [[Triforce]] (16, 0.055)****** * [[Nautilus]] (15, 20, 0.057) * [[Schism]] (12, 16, 0.057) ~30 NOTES/EQUAVE * [[Miracle]] (19.5, 26, 0.017) * [[Hemiwuerschmidt]] (24, 32, 0.020) * [[Garibaldi]] (22.5, 30, 0.022) * [[Amity]] (25.5, 34, 0.024) * [[Sensi]] (19.5, 26, 0.026) * [[Harry]] (25.5, 34, 0.034) ~40 NOTES/EQUAVE * [[Catakleismic]] (33, 44, 0.022) * [[Misty]] (30, 40, 0.037) ~50 NOTES/EQUAVE * [[Ennealimmal]] (40.5, 54, 0.0036) * [[Tertiaseptal]] (40.5, 54, 0.013) * [[Hemififths]] (37.5, 50, 0.022) * [[Unidec]] (33, 44 0.038) >60 NOTES/EQUAVE * [[Enneadecal]] (85.5, 114, 0.011) * [[Ragismic_microtemperaments#Supermajor|Supermajor]] (112.5, 150, 0.011) * [[Seqsquiquartififths]] (54, 72, 0.011) * [[Pontiac]] (70.5, 94, 0.014) * [[Parakleismic]] (52.5, 70, 0.027) * [[Trinity]] (151.5, 202, 0.12) |- ! 11-limit <br>(2 . 3 . 5 . 7 . 11) | [[superpelog]], [[blacksmith]], [[opossum]], [[pajaric]], [[august]] | [[mohajira]], [[superpyth]], [[quasisupra]], [[pajara]], [[telepathy]], [[suprapyth]], [[porcupine]], [[negroni]], [[porky]], [[hedgehog]], [[fleetwood]], [[pajarous]], [[astrology]], [[vigintiduo]], [[augene]], [[sensis]], [[nautilus]], [[catnip]], [[undevigintone]], [[injera]], [[flattone]], [[godzilla]], [[darjeeling]], [[keemun]], [[progress]], [[dominant]], [[triforce]], [[negric]], [[meanenneadecal]], [[duodecim]] | [[hemiwuerschmidt]], [[miracle]], [[cassandra]], [[diaschismic]], [[valentine]], [[shrutar]], [[orwell]], [[magic]], [[meanpop]], [[migration]], [[nusecond]], [[andromeda]], [[mothra]], [[squares]], [[meantone]] | [[unidec]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[hemiwuerschmidt]], [[ennealimnic]], [[hemithirds]], [[catakleismic]], [[wizard]] | [[hemienneadecal]], [[hemiennealimmal]], [[ennealimmal]], [[vishnu]], [[quasiorwell]], [[trinity]] |- ! 13-limit <br>(2 . 3 . 5 . 7 . 11 . 13) | | [[mohajira]], [[winston]], [[pajara]], [[undevigintone]], [[superpyth]], [[sensis]], [[negroni]], [[nautilus]], [[ogene]], [[ringo]], [[flattone]], [[injera]], [[augene]], [[darjeeling]], [[meanenneadecal]], [[porcupine]], [[hedgehog]], [[triforce]], [[godzilla]], [[negric]], [[negri]],[[Mavila_family#Armodue|armodue]], [[blacksmith]] | [[cassandra]], [[diaschismic]], [[myna]], [[orwell]], [[shrutar]], [[miraculous]], [[sensus]], [[meanpop]], [[andromeda]], [[magic]], [[superkleismic]], [[mothra]], [[nusecond]], [[modus]], [[lupercalia]], [[meantone]] | [[hemiwuerschmidt]], [[mirkat]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[countercata]], [[hemiseven]], [[catakleismic]] | [[semihemiennealimmal]], [[abigail]], [[ennealimmia]], [[decoid]], [[hemiennealimmal]], [[trinity]], [[enneadecal]], [[octoid]] |- ! 17-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17) | | [[mohajira]], [[injera]], [[meanenneadecal]], [[pajara]] | [[diaschismic]], [[echidna]], [[shrutar]], [[sensus]], [[miraculous]], [[andromeda]], [[modus]] | [[mirkat]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[countercata]], [[hemiseven]] | [[trinity]], [[hemiennealimmal]], [[ennealimmal]], [[octoid]] |- ! 19-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17 . 19) | | [[mohajira]], [[injera]], [[meanenneadecal]], [[marvolo]] | [[shrutar]], [[andromeda]], [[modus]], [[hitchcock]] | [[sqrtphi]], [[ketchup]] | [[trinity]], [[hemiennealimmal]], [[ennealimmal]], [[octoid]] |- ! Higher prime limits | | [[marvolo]] | [[srutal]], [[shrutar]], [[hitchcock]] | [[decistearn]], [[ketchup]] | [[trinity]], [[satin]] |- ! 2 . 3 . 5 . 7 . other n | | no-11 [[magic]], no-11 [[sensis]], no-11 [[meanpop]], [[negra]] | no-11 [[catakleismic]], no-11 [[cassandra]], [[unicorn]] | no-11 [[decoid]], no-11 [[hemischis]], no-11 [[tritikleismic]] | no-11 [[ennealimmal]] |- ! 2 . 3 . 5 . 11 <br>and its extensions | [[mavila]] | [[sensible]], [[mohaha]], [[porkypine]] | [[tetracot]] | [[larry]] (2.3.5.11 [[gravity]]) | |- ! 2 . 3 . 5 . other n | [[stützel]] | [[nestoria]], [[cata]], [[sensipent]], [[srutal archagall]] | [[wuerschmidt]] (2.3.5.23) | | |- ! 2 . 3 . 7 | [[archy]], [[semaphore]] | [[bleu]] | [[slendric]] | no-5 [[hemififths]] | |- ! 2 . 3 . 7 . 11 <br>and its extensions | [[semaphore]] | [[skwares]], [[bleu]], [[suhajira]], [[supra]] | no-5 [[miracle]], [[hemififths]], [[slendric]], [[radon]] | | |- ! 2 . 3 . 7 . other n | no-5 [[negra]] | [[baladic]] | [[oceanfront]] | [[hypnosis]] | |- ! 2 . 3 . 11 <br>and its extensions | [[paralimmal]], [[huxley]], [[io]] | 2.3.11 [[pythrabian]], [[neutral]] (2.3.11 [[rastmic]]), [[namo]] | [[tribilo]] (2.3.11 [[nexus]]) | | 2.3.11 [[frameshift]] |- !2 . 3 . other n | [[barbados]], [[superflat]], [[hydrothermal]], [[dog]] | [[threedic]], [[semitonic]] | [[boethian]], [[pepperoni]] | [[historical]] | |- ! 2 . 5 . 7 <br>and its extensions | no-3 [[oodako]], no-3 [[pajara]] | [[didacus]], [[llywelyn]] | [[rainy]], [[mercy]], [[frostburn]], [[baldy]] | [[Subgroup temperaments#Daemotertiaschis|daemotertiaschis]] | [[ostara]] |- ! 2 . 5 . other n | [[movila]] | [[wizz]], [[vengeance]], [[marveltri]], [[superquintal]], [[trader]] | [[insect]], [[sulis]] | | |- ! 2 . 7 <br>and its extensions | [[ultrakleismic]], [[shipwreck]], [[mabon]], [[demon]], [[machine]] | [[orgone]], [[counterultrakleismic]], [[machine|apparatus]] | [[stacks]], [[machine|mechanism]] | | |- ! 3 . 5 . 7 <br>and its extensions | [[canopus]], [[BPS]], [[sirius]], [[arcturus]], [[vega]] | [[mintra]] (3.5.7.11), [[dubhe]] (3.5.7.17) | [[miaplacidus]], [[mintra]] (3.5.7.11.13) | [[izar]], [[BPS|athena]] | |- !3 . 5 . other n | [[polaris]], [[aldebaran]] | [[deneb]] | [[No-twos subgroup temperaments#Fomalhaut|fomalhaut]] | [[alnilam]] | |- ! 3 . 7 <br>and its extensions | [[mintaka]] (3.7.11), [[keladic]] | [[mintaka]] (3.7.11.13), [[minalzidar]] | [[mebsuta]] | | |- ! 4 . n <br>and its extensions | [[tetrameantone]], [[quarchy]] | [[tetrahanson]], [[meanquad]] | [[Subgroup temperaments#Fourwar|fourwar]] | | |- ! 5 . n <br>and its extensions | [[juggernaut]] | [[antipyth]] | | | |- ! Other subgroups | [[halftone]], [[semiwolf]], [[auk]] | [[greeley]] | | | |}