Proposed names for rank-2 temperaments: Difference between revisions
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Here is a list of some names that have been proposed for rank 2 [[temperament]]s. The name or names of the temperament is followed by the generator mapping, which represents the number of periods and [[generator]]s of the temperament for each of the [[ | Here is a list of some names that have been proposed for rank 2 [[temperament]]s. The name or names of the temperament is followed by the generator mapping, which represents the number of periods and [[generator]]s of the temperament for each of the [[prime interval]]s (2 3 5 etc.) | ||
See also [[pergen|pergen names]]. | See also [[pergen|pergen names]]. | ||
== One period per octave == | == One period per octave == | ||
* father [{{val| 1 2 2 }}, {{val| 0 -1 1 }}]; | * [[father]] [{{val| 1 2 2 }}, {{val| 0 -1 1 }}]; | ||
** mother [{{val| 1 2 2 2 }}, {{val| 0 -1 1 2 }}]; | ** mother [{{val| 1 2 2 2 }}, {{val| 0 -1 1 2 }}]; | ||
** father [{{val| 1 2 2 4 }}, {{val| 0 -1 1 -3 }}]; | ** father [{{val| 1 2 2 4 }}, {{val| 0 -1 1 -3 }}]; | ||
* mavila [{{val| 1 2 1 }}, {{val| 0 -1 3 }}]; | * [[mavila]] [{{val| 1 2 1 }}, {{val| 0 -1 3 }}]; | ||
** pelogic [{{val| 1 2 1 1 }}, {{val| 0 -1 3 4 }}]; | ** [[pelogic]] [{{val| 1 2 1 1 }}, {{val| 0 -1 3 4 }}]; | ||
** armodue [{{val| 1 2 1 5 }}, {{val| 0 -1 3 -5 }}]; | ** [[armodue]] [{{val| 1 2 1 5 }}, {{val| 0 -1 3 -5 }}]; | ||
** mavila [{{val| 1 2 1 -2 }}, {{val| 0 -1 3 11 }}]; | ** mavila [{{val| 1 2 1 -2 }}, {{val| 0 -1 3 11 }}]; | ||
** hornbostel [{{val| 1 2 1 8 }}, {{val| 0 -1 3 -12 }}]; | ** hornbostel [{{val| 1 2 1 8 }}, {{val| 0 -1 3 -12 }}]; | ||
* [[ | * [[meantone]] [{{val| 1 2 4 }}, {{val| 0 -1 -4 }}]; | ||
** dominant [{{val| 1 2 4 2 }}, {{val| 0 -1 -4 2 }}]; | ** [[dominant]] [{{val| 1 2 4 2 }}, {{val| 0 -1 -4 2 }}]; | ||
*** arnold [{{val| 1 2 4 2 3 }}, {{val| 0 -1 -4 2 1 }}]; | *** arnold [{{val| 1 2 4 2 3 }}, {{val| 0 -1 -4 2 1 }}]; | ||
*** dominant [{{val| 1 2 4 2 1 }}, {{val| 0 -1 -4 2 6 }}]; | *** dominant [{{val| 1 2 4 2 1 }}, {{val| 0 -1 -4 2 6 }}]; | ||
*** domineering [{{val| 1 2 4 2 6 }}, {{val| 0 -1 -4 2 -6 }}]; | *** domineering [{{val| 1 2 4 2 6 }}, {{val| 0 -1 -4 2 -6 }}]; | ||
**** dominatrix [{{val| 1 2 4 2 6 5 }}, {{val| 0 -1 -4 2 -6 -3 }}]; | **** dominatrix [{{val| 1 2 4 2 6 5 }}, {{val| 0 -1 -4 2 -6 -3 }}]; | ||
** sharptone [{{val| 1 2 4 4 }}, {{val| 0 -1 -4 -3 }}]; | ** [[sharptone]] [{{val| 1 2 4 4 }}, {{val| 0 -1 -4 -3 }}]; | ||
*** meanertone [{{val| 1 2 4 4 3 }}, {{val| 0 -1 -4 -3 1 }}]; | *** meanertone [{{val| 1 2 4 4 3 }}, {{val| 0 -1 -4 -3 1 }}]; | ||
** flattone [{{val| 1 2 4 -1 }}, {{val| 0 -1 -4 9 }}]; | ** [[flattone]] [{{val| 1 2 4 -1 }}, {{val| 0 -1 -4 9 }}]; | ||
*** flattone [{{val| 1 2 4 -1 6 }}, {{val| 0 -1 -4 9 -6 }}]; | *** flattone [{{val| 1 2 4 -1 6 }}, {{val| 0 -1 -4 9 -6 }}]; | ||
** meantone [{{val| 1 2 4 7 }}, {{val| 0 -1 -4 -10 }}]; | ** meantone [{{val| 1 2 4 7 }}, {{val| 0 -1 -4 -10 }}]; | ||
Line 26: | Line 26: | ||
*** meanpop [{{val| 1 2 4 7 -2 }}, {{val| 0 -1 -4 -10 13 }}]; | *** meanpop [{{val| 1 2 4 7 -2 }}, {{val| 0 -1 -4 -10 13 }}]; | ||
*** meantone [{{val| 1 2 4 7 11 }}, {{val| 0 -1 -4 -10 -18 }}]; | *** meantone [{{val| 1 2 4 7 11 }}, {{val| 0 -1 -4 -10 -18 }}]; | ||
* [[ | * [[avila]] [{{val| 1 1 -1 }}, {{val| 0 1 6 }}]; | ||
* [[helmholtz]] [{{val| 1 2 -1 }}, {{val| 0 -1 8 }}]; | |||
** schism [{{val| 1 2 -1 2 }}, {{val| 0 -1 8 2 }}]; | ** schism [{{val| 1 2 -1 2 }}, {{val| 0 -1 8 2 }}]; | ||
** garibaldi [{{val| 1 2 -1 -3 }}, {{val| 0 -1 8 14 }}]; | ** garibaldi [{{val| 1 2 -1 -3 }}, {{val| 0 -1 8 14 }}]; | ||
Line 34: | Line 35: | ||
**** andromeda [{{val| 1 2 -1 -3 -4 -5 }}, {{val| 0 -1 8 14 18 21 }}]; | **** andromeda [{{val| 1 2 -1 -3 -4 -5 }}, {{val| 0 -1 8 14 18 21 }}]; | ||
** grackle [{{val| 1 2 -1 -8 }}, {{val| 0 -1 8 26 }}]; | ** grackle [{{val| 1 2 -1 -8 }}, {{val| 0 -1 8 26 }}]; | ||
** pontiac, infraschismic [{{val| 1 2 -1 19 }}, {{val| 0 -1 8 -39 }}]; | ** [[pontiac]], infraschismic [{{val| 1 2 -1 19 }}, {{val| 0 -1 8 -39 }}]; | ||
* superpyth [{{val| 1 2 6 }}, {{val| 0 -1 -9 }}]; | * [[superpyth]] [{{val| 1 2 6 }}, {{val| 0 -1 -9 }}]; | ||
** superpyth [{{val| 1 2 6 2 }}, {{val| 0 -1 -9 2 }}]; | ** superpyth [{{val| 1 2 6 2 }}, {{val| 0 -1 -9 2 }}]; | ||
*** superpyth [{{val| 1 2 6 2 10 }}, {{val| 0 -1 -9 2 -16 }}]; | *** superpyth [{{val| 1 2 6 2 10 }}, {{val| 0 -1 -9 2 -16 }}]; | ||
*** suprapyth [{{val| 1 2 6 2 1 }}, {{val| 0 -1 -9 2 6 }}]; | *** suprapyth [{{val| 1 2 6 2 1 }}, {{val| 0 -1 -9 2 6 }}]; | ||
* quasisuper [{{val| 1 2 -3 2 }}, {{val| 0 -1 13 2 }}]; | * [[quasisuper]] [{{val| 1 2 -3 2 }}, {{val| 0 -1 13 2 }}]; | ||
* leapday [{{val| 1 2 11 9 8 7 }}, {{val| 0 -1 -21 -15 -11 -8 }}]; | * [[leapday]] [{{val| 1 2 11 9 8 7 }}, {{val| 0 -1 -21 -15 -11 -8 }}]; | ||
* kwai [{{val| 1 2 16 14 }}, {{val| 0 -1 -33 -27 }}]; | * [[kwai]] [{{val| 1 2 16 14 }}, {{val| 0 -1 -33 -27 }}]; | ||
** kwai [{{val| 1 2 16 14 -4 }}, {{val| 0 -1 -33 -27 18 }}]; | ** kwai [{{val| 1 2 16 14 -4 }}, {{val| 0 -1 -33 -27 18 }}]; | ||
* undecental [{{val| 1 2 -13 -15 }}, {{val| 0 -1 37 43 }}]; | * [[undecental]] [{{val| 1 2 -13 -15 }}, {{val| 0 -1 37 43 }}]; | ||
* counterschismic [{{val| 1 2 21 }}, {{val| 0 -1 -45 }}]; | * [[counterschismic]] [{{val| 1 2 21 }}, {{val| 0 -1 -45 }}]; | ||
* [[ | * [[dicot]] [{{val| 1 1 2 }}, {{val| 0 2 1 }}]; | ||
** dicot [{{val| 1 1 2 2 }}, {{val| 0 2 1 3 }}]; | ** dicot [{{val| 1 1 2 2 }}, {{val| 0 2 1 3 }}]; | ||
** sharp [{{val| 1 1 2 1 }}, {{val| 0 2 1 6 }}]; | ** [[sharp]] [{{val| 1 1 2 1 }}, {{val| 0 2 1 6 }}]; | ||
* [[ | * [[mohajira]], semififths [{{val| 1 1 0 6 }}, {{val| 0 2 8 -11 }}]; | ||
** mohajira {{val| 1 1 0 6 2 }}, {{val| 0 2 8 -11 5 }}]; | ** mohajira {{val| 1 1 0 6 2 }}, {{val| 0 2 8 -11 5 }}]; | ||
** [[ | ** [[maqamic]] [{{val| 1 1 0 4 2 }}, {{val| 0 2 8 -4 5 }}]; | ||
*** maqamic {{val| 1 1 0 4 2 4 }}, {{val| 0 2 8 -4 5 -1 }}]; | *** maqamic {{val| 1 1 0 4 2 4 }}, {{val| 0 2 8 -4 5 -1 }}]; | ||
* beatles [{{val| 1 1 5 4 }}, {{val| 0 2 -9 -4 }}]; | * [[beatles]] [{{val| 1 1 5 4 }}, {{val| 0 2 -9 -4 }}]; | ||
* [[ | * [[karadeniz]] [{{val| 1 1 7 11 2 }}, {{val| 0 2 -16 -28 5 }}]; | ||
* [[ | * [[hemififths]] [{{val| 1 1 -5 -1 }}, {{val| 0 2 25 13 }}]; | ||
* [[ | * [[bug]] [{{val| 1 2 3 }}, {{val| 0 -2 -3 }}]; | ||
** beep [{{val| 1 2 3 3 }}, {{val| 0 -2 -3 -1 }}]; | ** [[beep]] [{{val| 1 2 3 3 }}, {{val| 0 -2 -3 -1 }}]; | ||
*** pentoid [{{val| 1 2 3 3 3 }}, {{val| 0 -2 -3 -1 2 }}]; | *** pentoid [{{val| 1 2 3 3 3 }}, {{val| 0 -2 -3 -1 2 }}]; | ||
* superpelog [{{val| 1 2 1 3 }}, {{val| 0 -2 6 -1 }}]; | * [[superpelog]] [{{val| 1 2 1 3 }}, {{val| 0 -2 6 -1 }}]; | ||
* [[ | * [[godzilla]] [{{val| 1 2 4 3 }}, {{val| 0 -2 -8 -1 }}]; | ||
* monzismic [{{val| 1 2 10 }}, {{val| 0 -2 -37 }}]; | * [[monzismic]] [{{val| 1 2 10 }}, {{val| 0 -2 -37 }}]; | ||
* [[ | * [[gidorah]] [{{val| 1 1 2 3 }}, {{val| 0 3 2 -1 }}]; | ||
* [[enipucrop]] [{{val| 1 2 2 }}, {{val| 0 -3 2 }}]; | |||
* penta [{{val| 1 1 2 2 }}, {{val| 0 3 2 4 }}]; | * penta [{{val| 1 1 2 2 }}, {{val| 0 3 2 4 }}]; | ||
* [[ | * [[laconic]] [{{val| 1 1 1 }}, {{val| 0 3 7 }}]; | ||
** [[ | ** [[gorgo]] [{{val| 1 1 1 3 }}, {{val| 0 3 7 -1 }}]; | ||
*** gorgo [{{val| 1 1 1 3 1| {{val| 0 3 7 -1 13 }}]; | *** gorgo [{{val| 1 1 1 3 1| {{val| 0 3 7 -1 13 }}]; | ||
**** gorgo [{{val| 1 1 1 3 1 2| {{val| 0 3 7 -1 13 9 }}]; | **** gorgo [{{val| 1 1 1 3 1 2| {{val| 0 3 7 -1 13 9 }}]; | ||
*** spartan [{{val| 1 1 1 3 5| {{val| 0 3 7 -1 -8 }}]; | *** spartan [{{val| 1 1 1 3 5| {{val| 0 3 7 -1 -8 }}]; | ||
* [[ | * [[pycnic]] [{{val| 1 3 -1 8 }}, {{val| 0 -3 7 -11 }}]; | ||
* [[mothra]], cynder [{{val| 1 1 0 3 }}, {{val| 0 3 12 -1 }}]; | |||
** mothra, cynder [{{val| 1 1 0 3 5 }}, {{val| 0 3 12 -1 -8 }}]; | ** mothra, cynder [{{val| 1 1 0 3 5 }}, {{val| 0 3 12 -1 -8 }}]; | ||
* [[ | * [[rodan]] [{{val| 1 1 -1 3 }}, {{val| 0 3 17 -1 }}]; | ||
** | ** rodan [{{val| 1 1 -1 3 6 }}, {{val| 0 3 17 -1 -13 }}]; | ||
*** | *** rodan [{{val| 1 1 -1 3 6 8 }}, {{val| 0 3 17 -1 -13 -22 }}]; | ||
*** | *** aerodactyl [{{val| 1 1 -1 3 6 -1 }}, {{val| 0 3 17 -1 -13 24 }}]; | ||
* [[ | * [[guiron]] [{{val| 1 1 7 3 }}, {{val| 0 3 -24 -1 }}]; | ||
* [[ | * [[porcupine]] [{{val| 1 2 3 }}, {{val| 0 -3 -5 }}]; | ||
** hystrix [{{val| 1 2 3 3 }}, {{val| 0 -3 -5 -1 }}]; | ** [[hystrix]] [{{val| 1 2 3 3 }}, {{val| 0 -3 -5 -1 }}]; | ||
** porcupine [{{val| 1 2 3 2 }}, {{val| 0 -3 -5 6 }}]; | ** porcupine [{{val| 1 2 3 2 }}, {{val| 0 -3 -5 6 }}]; | ||
*** porcupine [{{val| 1 2 3 2 4 }}, {{val| 0 -3 -5 6 -4 }}]; | *** porcupine [{{val| 1 2 3 2 4 }}, {{val| 0 -3 -5 6 -4 }}]; | ||
** opossum, pentadecimal [{{val| 1 2 3 4 }}, {{val| 0 -3 -5 -9 }}]; | ** [[opossum]], pentadecimal [{{val| 1 2 3 4 }}, {{val| 0 -3 -5 -9 }}]; | ||
*** opossum [{{val| 1 2 3 4 4 }}, {{val| 0 -3 -5 -9 -4 }}]; | *** opossum [{{val| 1 2 3 4 4 }}, {{val| 0 -3 -5 -9 -4 }}]; | ||
*** coendou [{{val| 1 2 3 1 4 3 }}, {{val| 0 -3 -5 13 -4 5 }}]; | *** coendou [{{val| 1 2 3 1 4 3 }}, {{val| 0 -3 -5 13 -4 5 }}]; | ||
*** porcupinefish [{{val| 1 2 3 2 4 6 }}, {{val| 0 -3 -5 6 -4 -17 }}]; | *** porcupinefish [{{val| 1 2 3 2 4 6 }}, {{val| 0 -3 -5 6 -4 -17 }}]; | ||
* ammonite [{{val| 1 5 8 10 }}, {{val| 0 -9 -15 -19 }}]; | * [[ammonite]] [{{val| 1 5 8 10 }}, {{val| 0 -9 -15 -19 }}]; | ||
* triton [{{val| 1 3 -1 -1 }}, {{val| 0 -3 7 8 }}]; | * [[triton]] [{{val| 1 3 -1 -1 }}, {{val| 0 -3 7 8 }}]; | ||
* [[ | * [[liese]], gawel [{{val| 1 3 8 8 }}, {{val| 0 -3 -12 -11 }}]; | ||
* tricot [{{val| 1 3 16 }}, {{val| 0 -3 -29 }}]; | * [[tricot]] [{{val| 1 3 16 }}, {{val| 0 -3 -29 }}]; | ||
* [[ | * [[tetracot]] [{{val| 1 1 1 }}, {{val| 0 4 9 }}]; | ||
** monkey [{{val| 1 1 1 5 }}, {{val| 0 4 9 -15 }}]; | ** [[monkey]] [{{val| 1 1 1 5 }}, {{val| 0 4 9 -15 }}]; | ||
** bunya [{{val| 1 1 1 -1 }}, {{val| 0 4 9 26 }}]; | ** [[bunya]] [{{val| 1 1 1 -1 }}, {{val| 0 4 9 26 }}]; | ||
* vulture [{{val| 1 0 -6 }}, {{val| 0 4 21 }}]; | * [[vulture]] [{{val| 1 0 -6 }}, {{val| 0 4 21 }}]; | ||
** buzzard [{{val| 1 0 -6 4 }}, {{val| 0 4 21 -3 }}]; | ** [[buzzard]] [{{val| 1 0 -6 4 }}, {{val| 0 4 21 -3 }}]; | ||
*** buzzard [{{val| 1 0 -6 4 -12 -7 }}, {{val| 0 4 21 -3 39 27 }}]; | *** buzzard [{{val| 1 0 -6 4 -12 -7 }}, {{val| 0 4 21 -3 39 27 }}]; | ||
* [[ | * [[sesquiquartififths]] [{{val| 1 1 7 5 }}, {{val| 0 4 -32 -15 }}]; | ||
* semihemififths [{{val| 1 1 -5 -1 8 }}, {{val| 0 4 50 26 -31 }}]; | * semihemififths [{{val| 1 1 -5 -1 8 }}, {{val| 0 4 50 26 -31 }}]; | ||
* [[ | * [[sidi]] [{{val| 1 3 3 6 }}, {{val| 0 -4 -2 -9 }}]; | ||
* negri [{{val| 1 2 2 }}, {{val| 0 -4 3 }}]; | * [[negri]] [{{val| 1 2 2 }}, {{val| 0 -4 3 }}]; | ||
** negri [{{val| 1 2 2 3 }}, {{val| 0 -4 3 -2 }}]; | ** negri [{{val| 1 2 2 3 }}, {{val| 0 -4 3 -2 }}]; | ||
*** negri [{{val| 1 2 2 3 4 }}, {{val| 0 -4 3 -2 -5 }}]; | *** negri [{{val| 1 2 2 3 4 }}, {{val| 0 -4 3 -2 -5 }}]; | ||
Line 102: | Line 105: | ||
*** negril [{{val| 1 2 2 3 2 }}, {{val| 0 -4 3 -2 14 }}]; | *** negril [{{val| 1 2 2 3 2 }}, {{val| 0 -4 3 -2 14 }}]; | ||
**** negril [{{val| 1 2 2 3 2 4 }}, {{val| 0 -4 3 -2 14 -3 }}]; | **** negril [{{val| 1 2 2 3 2 4 }}, {{val| 0 -4 3 -2 14 -3 }}]; | ||
* sentinel [{{val| 1 3 -3 6 }}, {{val| 0 -4 15 -9 }}]; | * [[sentinel]] [{{val| 1 3 -3 6 }}, {{val| 0 -4 15 -9 }}]; | ||
* [[ | * [[squares]] [{{val| 1 3 8 6 }}, {{val| 0 -4 -16 -9 }}]; | ||
* [[ | * [[magic]] [{{val| 1 0 2 }}, {{val| 0 5 1 }}]; | ||
** muggles [{{val| 1 0 2 5 }}, {{val| 0 5 1 -7 }}]; | ** [[muggles]] [{{val| 1 0 2 5 }}, {{val| 0 5 1 -7 }}]; | ||
** magic [{{val| 1 0 2 -1 }}, {{val| 0 5 1 12 }}]; | ** magic [{{val| 1 0 2 -1 }}, {{val| 0 5 1 12 }}]; | ||
*** magic [{{val| 1 0 2 -1 6 }}, {{val| 0 5 1 12 -8 }}]; | *** magic [{{val| 1 0 2 -1 6 }}, {{val| 0 5 1 12 -8 }}]; | ||
* passion [{{val| 1 2 2 }}, {{val| 0 -5 4 }}]; | * [[passion]] [{{val| 1 2 2 }}, {{val| 0 -5 4 }}]; | ||
** passion [{{val| 1 2 2 2 }}, {{val| 0 -5 4 10 }}]; | ** passion [{{val| 1 2 2 2 }}, {{val| 0 -5 4 10 }}]; | ||
* ripple [{{val| 1 2 3 }}, {{val| 0 -5 -8 }}]; | * [[ripple]] [{{val| 1 2 3 }}, {{val| 0 -5 -8 }}]; | ||
** ripple [{{val| 1 2 3 3 }}, {{val| 0 -5 -8 -2 }}]; | ** ripple [{{val| 1 2 3 3 }}, {{val| 0 -5 -8 -2 }}]; | ||
* tritonic [{{val| 1 4 -3 -3 }}, {{val| 0 -5 11 12 }}]; | * [[tritonic]] [{{val| 1 4 -3 -3 }}, {{val| 0 -5 11 12 }}]; | ||
** tritonic [{{val| 1 4 -3 -3 2 }}, {{val| 0 -5 11 12 3 }}]; | ** tritonic [{{val| 1 4 -3 -3 2 }}, {{val| 0 -5 11 12 3 }}]; | ||
* [[ | * [[amity]] [{{val| 1 3 6 }}, {{val| 0 -5 -13 }}]; | ||
** amity [{{val| 1 3 6 -2 }}, {{val| 0 -5 -13 17 }}]; | ** amity [{{val| 1 3 6 -2 }}, {{val| 0 -5 -13 17 }}]; | ||
*** hitchcock, amity [{{val| 1 3 6 -2 6 }}, {{val| 0 -5 -13 17 -9 }}]; | *** hitchcock, amity [{{val| 1 3 6 -2 6 }}, {{val| 0 -5 -13 17 -9 }}]; | ||
**** hitchcock [{{val| 1 3 6 -2 6 2 }}, {{val| 0 -5 -13 17 -9 6 }}]; | **** hitchcock [{{val| 1 3 6 -2 6 2 }}, {{val| 0 -5 -13 17 -9 6 }}]; | ||
* gravity [{{val| 1 5 12 }}, {{val| 0 -6 -17 }}]; | * [[gravity]] [{{val| 1 5 12 }}, {{val| 0 -6 -17 }}]; | ||
* [[ | * [[hanson]] [{{val| 1 0 1 }}, {{val| 0 6 5 }}]; | ||
** keemun [{{val| 1 0 1 2 }}, {{val| 0 6 5 3 }}]; | ** [[keemun]] [{{val| 1 0 1 2 }}, {{val| 0 6 5 3 }}]; | ||
*** keemun [{{val| 1 0 1 2 4 }}, {{val| 0 6 5 3 -2 }}]; | *** keemun [{{val| 1 0 1 2 4 }}, {{val| 0 6 5 3 -2 }}]; | ||
** catakleismic [{{val| 1 0 1 -3 }}, {{val| 0 6 5 22 }}]; | ** [[catakleismic]] [{{val| 1 0 1 -3 }}, {{val| 0 6 5 22 }}]; | ||
*** catakleismic [{{val| 1 0 1 -3 9 }}, {{val| 0 6 5 22 -21 }}]; | *** catakleismic [{{val| 1 0 1 -3 9 }}, {{val| 0 6 5 22 -21 }}]; | ||
**** catakleismic [{{val| 1 0 1 -3 9 0 }}, {{val| 0 6 5 22 -21 14 }}]; | **** catakleismic [{{val| 1 0 1 -3 9 0 }}, {{val| 0 6 5 22 -21 14 }}]; | ||
** countercata [{{val| 1 0 1 11 }}, {{val| 0 6 5 -31 }}]; | ** [[countercata]] [{{val| 1 0 1 11 }}, {{val| 0 6 5 -31 }}]; | ||
* ampersand [{{val| 1 1 3 }}, {{val| 0 6 -7 }}]; | * [[ampersand]] [{{val| 1 1 3 }}, {{val| 0 6 -7 }}]; | ||
** [[ | ** [[miracle]] [{{val| 1 1 3 3 }}, {{val| 0 6 -7 -2 }}]; | ||
*** miracle [{{val| 1 1 3 3 2 }}, {{val| 0 6 -7 -2 15 }}]; | *** miracle [{{val| 1 1 3 3 2 }}, {{val| 0 6 -7 -2 15 }}]; | ||
* marvo [{{val| 1 -1 -5 -17 }}, {{val| 0 6 17 46 }}]; | * marvo [{{val| 1 -1 -5 -17 }}, {{val| 0 6 17 46 }}]; | ||
* [[ | * [[nautilus]] [{{val| 1 2 3 3 }}, {{val| 0 -6 -10 -3 }}]; | ||
* [[ | * [[orson]] [{{val| 1 0 3 }}, {{val| 0 7 -3 }}]; | ||
** orwell [{{val| 1 0 3 1 }}, {{val| 0 7 -3 8 }}]; | ** [[orwell]] [{{val| 1 0 3 1 }}, {{val| 0 7 -3 8 }}]; | ||
*** orwell [{{val| 1 0 3 1 3 }}, {{val| 0 7 -3 8 2 }}]; | *** orwell [{{val| 1 0 3 1 3 }}, {{val| 0 7 -3 8 2 }}]; | ||
**** orwell [{{val| 1 0 3 1 3 8 }}, {{val| 0 7 -3 8 2 -19 }}]; | **** orwell [{{val| 1 0 3 1 3 8 }}, {{val| 0 7 -3 8 2 -19 }}]; | ||
Line 138: | Line 141: | ||
**** winston [{{val| 1 0 3 1 3 1 }}, {{val| 0 7 -3 8 2 12 }}]; | **** winston [{{val| 1 0 3 1 3 1 }}, {{val| 0 7 -3 8 2 12 }}]; | ||
**** doublethink [{{val| 1 0 3 1 3 2 }}, {{val| 0 14 -6 16 4 15 }}]; | **** doublethink [{{val| 1 0 3 1 3 2 }}, {{val| 0 14 -6 16 4 15 }}]; | ||
* sensi [{{val| 1 -1 -1 }}, {{val| 0 7 9 }}]; | * [[sensi]] [{{val| 1 -1 -1 }}, {{val| 0 7 9 }}]; | ||
** | ** sensi [{{val| 1 -1 -1 -2 }}, {{val| 0 7 9 13 }}]; | ||
*** [[ | *** [[sensor]] [{{val| 1 -1 -1 -2 9 }}, {{val| 0 7 9 13 -15 }}]; | ||
**** sensor [{{val| 1 -1 -1 -2 9 0 }}, {{val| 0 7 9 13 -15 10 }}]; | **** sensor [{{val| 1 -1 -1 -2 9 0 }}, {{val| 0 7 9 13 -15 10 }}]; | ||
* [[ | *** [[sensis]] [{{val| 1 6 8 11 6 }}, {{val| 0 -7 -9 -13 -4 }}]; | ||
** sensis [{{val| 1 6 8 11 6 10 }}, {{val| 0 -7 -9 -13 -4 -10 | **** sensis [{{val| 1 6 8 11 6 10 }}, {{val| 0 -7 -9 -13 -4 -10 }}]; | ||
* [[ | *** [[sensus]] [{{val| 1 6 8 11 23 }}, {{val| 0 -7 -9 -13 -31 }}]; | ||
** sensus [{{val| 1 6 8 11 23 10 | **** sensus [{{val| 1 6 8 11 23 10 }}, {{val| 0 -7 -9 -13 -31 -10 }}]; | ||
* roman [{{val| 1 4 3 -1 0 3 }}, {{val| 0 -7 -2 11 10 2 }}]; | * [[roman]] [{{val| 1 4 3 -1 0 3 }}, {{val| 0 -7 -2 11 10 2 }}]; | ||
* [[ | * [[octacot]] [{{val| 1 1 1 2 }}, {{val| 0 8 18 11 }}]; | ||
* [[ | * [[würschmidt]] [{{val| 1 -1 2 }}, {{val| 0 8 1 }}]; | ||
** worschmidt [{{val| 1 -1 2 7 }}, {{val| 0 8 1 -13 }}]; | ** [[worschmidt]] [{{val| 1 -1 2 7 }}, {{val| 0 8 1 -13 }}]; | ||
** wurschmidt [{{val| 1 -1 2 -3 }}, {{val| 0 8 1 18 }}]; | ** [[wurschmidt]] [{{val| 1 -1 2 -3 }}, {{val| 0 8 1 18 }}]; | ||
** whirrschmidt [{{val| 1 7 3 38 }}, {{val| 0 -8 -1 -52 }}]; | ** [[whirrschmidt]] [{{val| 1 7 3 38 }}, {{val| 0 -8 -1 -52 }}]; | ||
* valentine [{{val| 1 1 2 }}, {{val| 0 9 5 }}]; | * [[valentine]] [{{val| 1 1 2 }}, {{val| 0 9 5 }}]; | ||
** | ** valentine [{{val| 1 1 2 3 }}, {{val| 0 9 5 -3 }}]; | ||
*** valentine [{{val| 1 1 2 3 3 }}, {{val| 0 9 5 -3 7 }}]; | *** valentine [{{val| 1 1 2 3 3 }}, {{val| 0 9 5 -3 7 }}]; | ||
**** | **** valentino [{{val| 1 1 2 3 3 5 }}, {{val| 0 9 5 -3 7 -20 }}]; | ||
**** | **** dwynwen [{{val| 1 1 2 3 3 2 }}, {{val| 0 9 5 -3 7 26 }}]; | ||
**** | **** lupercalia [{{val| 1 1 2 3 3 3 }}, {{val| 0 9 5 -3 7 11 }}]; | ||
* escapade [{{val| 1 2 2 }}, {{val| 0 -9 7 }}]; | * [[escapade]] [{{val| 1 2 2 }}, {{val| 0 -9 7 }}]; | ||
** escapade [{{val| 1 2 2 3 }}, {{val| 0 -9 7 -4 }}]; | ** escapade [{{val| 1 2 2 3 }}, {{val| 0 -9 7 -4 }}]; | ||
** escaped [{{val| 1 2 2 4 }}, {{val| 0 -9 7 -26 }}]; | ** [[escaped]] [{{val| 1 2 2 4 }}, {{val| 0 -9 7 -26 }}]; | ||
* [[ | * [[superkleismic]] [{{val| 1 4 5 2 }}, {{val| 0 -9 -10 3 }}]; | ||
** superkleismic [{{val| 1 4 5 2 4 }}, {{val| 0 -9 -10 3 -2 }}]; | ** superkleismic [{{val| 1 4 5 2 4 }}, {{val| 0 -9 -10 3 -2 }}]; | ||
* [[ | * [[mabila]] [{{val| 1 6 1 }}, {{val| 0 -10 3 }}]; | ||
* [[myna]] [{{val| 1 -1 0 1 }}, {{val| 0 10 9 7 }}]; | |||
** myna [{{val| 1 -1 0 1 -3 }}, {{val| 0 10 9 7 25 }}]; | ** myna [{{val| 1 -1 0 1 -3 }}, {{val| 0 10 9 7 25 }}]; | ||
*** myna [{{val| 1 -1 0 1 -3 5 }}, {{val| 0 10 9 7 25 -5 }}]; | *** myna [{{val| 1 -1 0 1 -3 5 }}, {{val| 0 10 9 7 25 -5 }}]; | ||
* [[ | * [[sycamore]] [{{val| 1 1 2 }}, {{val| 0 11 6 }}]; | ||
** sycamore [{{val| 1 1 2 2 }}, {{val| 0 11 6 15 }}]; | ** sycamore [{{val| 1 1 2 2 }}, {{val| 0 11 6 15 }}]; | ||
* septimin [{{val| 1 4 1 5 }}, {{val| 0 -11 6 -10 }}]; | * [[septimin]] [{{val| 1 4 1 5 }}, {{val| 0 -11 6 -10 }}]; | ||
* [[ | * [[nusecond]] [{{val| 1 3 4 5 }}, {{val| 0 -11 -13 -17 }}]; | ||
* quartonic [{{val| 1 2 3 3 }}, {{val| 0 -11 -18 -5 }}]; | * [[quartonic]] [{{val| 1 2 3 3 }}, {{val| 0 -11 -18 -5 }}]; | ||
* [[ | * [[hemikleismic]] [{{val| 1 0 1 4 }}, {{val| 0 12 10 -9 }}]; | ||
* [[ | * [[clyde]] [{{val| 1 6 6 12 }}, {{val| 0 -12 -10 -25 }}]; | ||
* bohpier [{{val| 1 0 0 0 }}, {{val| 0 13 19 23 }}]; | * [[bohpier]] [{{val| 1 0 0 0 }}, {{val| 0 13 19 23 }}]; | ||
* [[ | * [[gammic]] [{{val| 1 1 2 }}, {{val| 0 20 11 }}]; | ||
** gammic [{{val| 1 1 2 0 }}, {{val| 0 20 11 96 }}]; | ** gammic [{{val| 1 1 2 0 }}, {{val| 0 20 11 96 }}]; | ||
* [[ | * [[neptune]] [{{val| 1 21 13 13 }}, {{val| 0 -40 -22 -21 }}]; | ||
* pluto [{{val| 1 5 15 15 2 }}, {{val| 0 7 26 25 -3 }}]; | * [[pluto]] [{{val| 1 5 15 15 2 }}, {{val| 0 7 26 25 -3 }}]; | ||
* twothirdtonic [{{val| 1 3 2 4 4 }}, {{val| 0 -13 3 -11 -5 }}]; | * [[twothirdtonic]] [{{val| 1 3 2 4 4 }}, {{val| 0 -13 3 -11 -5 }}]; | ||
** twothirdtonic [{{val| 1 3 2 4 4 5 }}, {{val| 0 -13 3 -11 -5 -12 }}]; | ** twothirdtonic [{{val| 1 3 2 4 4 5 }}, {{val| 0 -13 3 -11 -5 -12 }}]; | ||
* slender [{{val| 1 2 2 3 }}, {{val| 0 -13 10 -6 }}]; | * [[slender]] [{{val| 1 2 2 3 }}, {{val| 0 -13 10 -6 }}]; | ||
** slender [{{val| 1 2 2 3 4 }}, {{val| 0 -13 10 -6 -17 }}]; | ** slender [{{val| 1 2 2 3 4 }}, {{val| 0 -13 10 -6 -17 }}]; | ||
* [[ | * [[parakleismic]] [{{val| 1 5 6 }}, {{val| 0 -13 -14 }}]; | ||
** parakleismic [{{val| 1 5 6 12 }}, {{val| 0 -13 -14 -35 }}]; | ** parakleismic [{{val| 1 5 6 12 }}, {{val| 0 -13 -14 -35 }}]; | ||
* fortune [{{val| 1 -1 11 }}, {{val| 0 14 -47 }}]; | * [[fortune]] [{{val| 1 -1 11 }}, {{val| 0 14 -47 }}]; | ||
* hemithirds, luna [{{val| 1 4 2 }}, {{val| 0 -15 2 }}]; | * [[hemithirds]], [[luna]] [{{val| 1 4 2 }}, {{val| 0 -15 2 }}]; | ||
** | ** hemithirds [{{val| 1 4 2 2 }}, {{val| 0 -15 2 5 }}]; | ||
*** | *** hemithirds [{{val| 1 4 2 2 7 }}, {{val| 0 -15 2 5 -22 }}]; | ||
* [[ | * [[hemiwürschmidt]] [{{val| 1 -1 2 2 }}, {{val| 0 16 2 5 }}]; | ||
** hemiwürschmidt [{{val| 1 -1 2 2 -3 }}, {{val| 0 16 2 5 40 }}]; | ** hemiwürschmidt [{{val| 1 -1 2 2 -3 }}, {{val| 0 16 2 5 40 }}]; | ||
* semisept [{{val| 1 -5 0 -3 }}, {{val| 0 17 6 15 }}]; | * [[semisept]] [{{val| 1 -5 0 -3 }}, {{val| 0 17 6 15 }}]; | ||
* vavoom [{{val| 1 0 4 }}, {{val| 0 17 -18 }}]; | * [[vavoom]] [{{val| 1 0 4 }}, {{val| 0 17 -18 }}]; | ||
* [[ | * [[minortone]] [{{val| 1 -1 -3 }}, {{val| 0 17 35 }}]; | ||
** [[ | ** [[mitonic]] [{{val| 1 -1 -3 6 }}, {{val| 0 17 35 -21 }}]; | ||
* [[ | * [[casablanca]] [{{val| 1 -7 -4 1 }}, {{val| 0 19 14 4 }}]; | ||
** | ** casablanca [{{val| 1 -7 -4 1 3 }}, {{val| 0 19 14 4 1 }}]; | ||
* [[ | * [[tertiaseptal]] [{{val| 1 3 2 3 }}, {{val| 0 -22 5 -3 }}]; | ||
* grendel, voodoo [{{val| 1 9 2 7 }}, {{val| 0 -23 1 -13 }}]; | * [[grendel]], voodoo [{{val| 1 9 2 7 }}, {{val| 0 -23 1 -13 }}]; | ||
* gamera [{{val| 1 6 10 3 }}, {{val| 0 -23 -40 -1 }}]; | * [[gamera]] [{{val| 1 6 10 3 }}, {{val| 0 -23 -40 -1 }}]; | ||
* astro [{{val| 1 5 1 }}, {{val| 0 -31 12 }}]; | * [[astro]] [{{val| 1 5 1 }}, {{val| 0 -31 12 }}]; | ||
* semihemiwürschmidt [{{val| 1 15 4 7 24 }}, {{val| 0 -32 -4 -10 -49 }}]; | * semihemiwürschmidt [{{val| 1 15 4 7 24 }}, {{val| 0 -32 -4 -10 -49 }}]; | ||
* whoosh [{{val| 1 17 14 }}, {{val| 0 -33 -25 }}]; | * [[whoosh]] [{{val| 1 17 14 }}, {{val| 0 -33 -25 }}]; | ||
* [[ | * [[yarman]] [{{val| 1 2 3 4 4 }}, {{val| 0 -33 -54 -95 -43 }}]; | ||
* senior [{{val| 1 11 19 }}, {{val| 0 -35 -62 }}]; | * [[senior]] [{{val| 1 11 19 }}, {{val| 0 -35 -62 }}]; | ||
* raider [{{val| 1 -9 -26 }}, {{val| 0 37 99 }}]; | * [[raider]] [{{val| 1 -9 -26 }}, {{val| 0 37 99 }}]; | ||
* supermajor [{{val| 1 15 19 30 }}, {{val| 0 -37 -46 -75 }}]; | * [[supermajor]] [{{val| 1 15 19 30 }}, {{val| 0 -37 -46 -75 }}]; | ||
* [[ | * [[quasiorwell]] [{{val| 1 -7 3 1 }}, {{val| 0 38 -3 8 }}]; | ||
* semigamera [{{val| 1 6 10 3 12 }}, {{val| 0 -46 -80 -2 -89 }}]; | * semigamera [{{val| 1 6 10 3 12 }}, {{val| 0 -46 -80 -2 -89 }}]; | ||
* gross [{{val| 1 -2 4 }}, {{val| 0 47 -22 }}]; | * [[gross]] [{{val| 1 -2 4 }}, {{val| 0 47 -22 }}]; | ||
* pirate [{{val| 1 -6 0 }}, {{val| 0 49 15 }}]; | * [[pirate]] [{{val| 1 -6 0 }}, {{val| 0 49 15 }}]; | ||
* egads [{{val| 1 15 16 }}, {{val| 0 -51 -52 | * [[egads]] [{{val| 1 15 16 }}, {{val| 0 -51 -52 }}]; | ||
== Two periods per octave == | == Two periods per octave == |
Revision as of 10:20, 13 September 2021
Here is a list of some names that have been proposed for rank 2 temperaments. The name or names of the temperament is followed by the generator mapping, which represents the number of periods and generators of the temperament for each of the prime intervals (2 3 5 etc.)
See also pergen names.
One period per octave
- father [⟨1 2 2], ⟨0 -1 1]];
- mother [⟨1 2 2 2], ⟨0 -1 1 2]];
- father [⟨1 2 2 4], ⟨0 -1 1 -3]];
- mavila [⟨1 2 1], ⟨0 -1 3]];
- meantone [⟨1 2 4], ⟨0 -1 -4]];
- dominant [⟨1 2 4 2], ⟨0 -1 -4 2]];
- arnold [⟨1 2 4 2 3], ⟨0 -1 -4 2 1]];
- dominant [⟨1 2 4 2 1], ⟨0 -1 -4 2 6]];
- domineering [⟨1 2 4 2 6], ⟨0 -1 -4 2 -6]];
- dominatrix [⟨1 2 4 2 6 5], ⟨0 -1 -4 2 -6 -3]];
- sharptone [⟨1 2 4 4], ⟨0 -1 -4 -3]];
- meanertone [⟨1 2 4 4 3], ⟨0 -1 -4 -3 1]];
- flattone [⟨1 2 4 -1], ⟨0 -1 -4 9]];
- flattone [⟨1 2 4 -1 6], ⟨0 -1 -4 9 -6]];
- meantone [⟨1 2 4 7], ⟨0 -1 -4 -10]];
- meanenneadecal [⟨1 2 4 7 6], ⟨0 -1 -4 -10 -6]];
- meanpop [⟨1 2 4 7 -2], ⟨0 -1 -4 -10 13]];
- meantone [⟨1 2 4 7 11], ⟨0 -1 -4 -10 -18]];
- dominant [⟨1 2 4 2], ⟨0 -1 -4 2]];
- avila [⟨1 1 -1], ⟨0 1 6]];
- helmholtz [⟨1 2 -1], ⟨0 -1 8]];
- schism [⟨1 2 -1 2], ⟨0 -1 8 2]];
- garibaldi [⟨1 2 -1 -3], ⟨0 -1 8 14]];
- cassandra [⟨1 2 -1 -3 13], ⟨0 -1 8 14 -23]];
- cassandra [⟨1 2 -1 -3 13 12], ⟨0 -1 8 14 -23 -20]];
- andromeda [⟨1 2 -1 -3 -4], ⟨0 -1 8 14 18]];
- andromeda [⟨1 2 -1 -3 -4 -5], ⟨0 -1 8 14 18 21]];
- cassandra [⟨1 2 -1 -3 13], ⟨0 -1 8 14 -23]];
- grackle [⟨1 2 -1 -8], ⟨0 -1 8 26]];
- pontiac, infraschismic [⟨1 2 -1 19], ⟨0 -1 8 -39]];
- superpyth [⟨1 2 6], ⟨0 -1 -9]];
- superpyth [⟨1 2 6 2], ⟨0 -1 -9 2]];
- superpyth [⟨1 2 6 2 10], ⟨0 -1 -9 2 -16]];
- suprapyth [⟨1 2 6 2 1], ⟨0 -1 -9 2 6]];
- superpyth [⟨1 2 6 2], ⟨0 -1 -9 2]];
- quasisuper [⟨1 2 -3 2], ⟨0 -1 13 2]];
- leapday [⟨1 2 11 9 8 7], ⟨0 -1 -21 -15 -11 -8]];
- kwai [⟨1 2 16 14], ⟨0 -1 -33 -27]];
- kwai [⟨1 2 16 14 -4], ⟨0 -1 -33 -27 18]];
- undecental [⟨1 2 -13 -15], ⟨0 -1 37 43]];
- counterschismic [⟨1 2 21], ⟨0 -1 -45]];
- dicot [⟨1 1 2], ⟨0 2 1]];
- dicot [⟨1 1 2 2], ⟨0 2 1 3]];
- sharp [⟨1 1 2 1], ⟨0 2 1 6]];
- mohajira, semififths [⟨1 1 0 6], ⟨0 2 8 -11]];
- mohajira ⟨1 1 0 6 2], ⟨0 2 8 -11 5]];
- maqamic [⟨1 1 0 4 2], ⟨0 2 8 -4 5]];
- maqamic ⟨1 1 0 4 2 4], ⟨0 2 8 -4 5 -1]];
- beatles [⟨1 1 5 4], ⟨0 2 -9 -4]];
- karadeniz [⟨1 1 7 11 2], ⟨0 2 -16 -28 5]];
- hemififths [⟨1 1 -5 -1], ⟨0 2 25 13]];
- bug [⟨1 2 3], ⟨0 -2 -3]];
- beep [⟨1 2 3 3], ⟨0 -2 -3 -1]];
- pentoid [⟨1 2 3 3 3], ⟨0 -2 -3 -1 2]];
- beep [⟨1 2 3 3], ⟨0 -2 -3 -1]];
- superpelog [⟨1 2 1 3], ⟨0 -2 6 -1]];
- godzilla [⟨1 2 4 3], ⟨0 -2 -8 -1]];
- monzismic [⟨1 2 10], ⟨0 -2 -37]];
- gidorah [⟨1 1 2 3], ⟨0 3 2 -1]];
- enipucrop [⟨1 2 2], ⟨0 -3 2]];
- penta [⟨1 1 2 2], ⟨0 3 2 4]];
- laconic [⟨1 1 1], ⟨0 3 7]];
- gorgo [⟨1 1 1 3], ⟨0 3 7 -1]];
- gorgo [{{val| 1 1 1 3 1| ⟨0 3 7 -1 13]];
- gorgo [{{val| 1 1 1 3 1 2| ⟨0 3 7 -1 13 9]];
- spartan [{{val| 1 1 1 3 5| ⟨0 3 7 -1 -8]];
- gorgo [{{val| 1 1 1 3 1| ⟨0 3 7 -1 13]];
- gorgo [⟨1 1 1 3], ⟨0 3 7 -1]];
- pycnic [⟨1 3 -1 8], ⟨0 -3 7 -11]];
- mothra, cynder [⟨1 1 0 3], ⟨0 3 12 -1]];
- mothra, cynder [⟨1 1 0 3 5], ⟨0 3 12 -1 -8]];
- rodan [⟨1 1 -1 3], ⟨0 3 17 -1]];
- rodan [⟨1 1 -1 3 6], ⟨0 3 17 -1 -13]];
- rodan [⟨1 1 -1 3 6 8], ⟨0 3 17 -1 -13 -22]];
- aerodactyl [⟨1 1 -1 3 6 -1], ⟨0 3 17 -1 -13 24]];
- rodan [⟨1 1 -1 3 6], ⟨0 3 17 -1 -13]];
- guiron [⟨1 1 7 3], ⟨0 3 -24 -1]];
- porcupine [⟨1 2 3], ⟨0 -3 -5]];
- ammonite [⟨1 5 8 10], ⟨0 -9 -15 -19]];
- triton [⟨1 3 -1 -1], ⟨0 -3 7 8]];
- liese, gawel [⟨1 3 8 8], ⟨0 -3 -12 -11]];
- tricot [⟨1 3 16], ⟨0 -3 -29]];
- tetracot [⟨1 1 1], ⟨0 4 9]];
- vulture [⟨1 0 -6], ⟨0 4 21]];
- buzzard [⟨1 0 -6 4], ⟨0 4 21 -3]];
- buzzard [⟨1 0 -6 4 -12 -7], ⟨0 4 21 -3 39 27]];
- buzzard [⟨1 0 -6 4], ⟨0 4 21 -3]];
- sesquiquartififths [⟨1 1 7 5], ⟨0 4 -32 -15]];
- semihemififths [⟨1 1 -5 -1 8], ⟨0 4 50 26 -31]];
- sidi [⟨1 3 3 6], ⟨0 -4 -2 -9]];
- negri [⟨1 2 2], ⟨0 -4 3]];
- negri [⟨1 2 2 3], ⟨0 -4 3 -2]];
- negri [⟨1 2 2 3 4], ⟨0 -4 3 -2 -5]];
- negri [⟨1 2 2 3 4 4], ⟨0 -4 3 -2 -5 -3]];
- negril [⟨1 2 2 3 2], ⟨0 -4 3 -2 14]];
- negril [⟨1 2 2 3 2 4], ⟨0 -4 3 -2 14 -3]];
- negri [⟨1 2 2 3 4], ⟨0 -4 3 -2 -5]];
- negri [⟨1 2 2 3], ⟨0 -4 3 -2]];
- sentinel [⟨1 3 -3 6], ⟨0 -4 15 -9]];
- squares [⟨1 3 8 6], ⟨0 -4 -16 -9]];
- magic [⟨1 0 2], ⟨0 5 1]];
- muggles [⟨1 0 2 5], ⟨0 5 1 -7]];
- magic [⟨1 0 2 -1], ⟨0 5 1 12]];
- magic [⟨1 0 2 -1 6], ⟨0 5 1 12 -8]];
- passion [⟨1 2 2], ⟨0 -5 4]];
- passion [⟨1 2 2 2], ⟨0 -5 4 10]];
- ripple [⟨1 2 3], ⟨0 -5 -8]];
- ripple [⟨1 2 3 3], ⟨0 -5 -8 -2]];
- tritonic [⟨1 4 -3 -3], ⟨0 -5 11 12]];
- tritonic [⟨1 4 -3 -3 2], ⟨0 -5 11 12 3]];
- amity [⟨1 3 6], ⟨0 -5 -13]];
- amity [⟨1 3 6 -2], ⟨0 -5 -13 17]];
- hitchcock, amity [⟨1 3 6 -2 6], ⟨0 -5 -13 17 -9]];
- hitchcock [⟨1 3 6 -2 6 2], ⟨0 -5 -13 17 -9 6]];
- hitchcock, amity [⟨1 3 6 -2 6], ⟨0 -5 -13 17 -9]];
- amity [⟨1 3 6 -2], ⟨0 -5 -13 17]];
- gravity [⟨1 5 12], ⟨0 -6 -17]];
- hanson [⟨1 0 1], ⟨0 6 5]];
- keemun [⟨1 0 1 2], ⟨0 6 5 3]];
- keemun [⟨1 0 1 2 4], ⟨0 6 5 3 -2]];
- catakleismic [⟨1 0 1 -3], ⟨0 6 5 22]];
- catakleismic [⟨1 0 1 -3 9], ⟨0 6 5 22 -21]];
- catakleismic [⟨1 0 1 -3 9 0], ⟨0 6 5 22 -21 14]];
- catakleismic [⟨1 0 1 -3 9], ⟨0 6 5 22 -21]];
- countercata [⟨1 0 1 11], ⟨0 6 5 -31]];
- keemun [⟨1 0 1 2], ⟨0 6 5 3]];
- ampersand [⟨1 1 3], ⟨0 6 -7]];
- miracle [⟨1 1 3 3], ⟨0 6 -7 -2]];
- miracle [⟨1 1 3 3 2], ⟨0 6 -7 -2 15]];
- miracle [⟨1 1 3 3], ⟨0 6 -7 -2]];
- marvo [⟨1 -1 -5 -17], ⟨0 6 17 46]];
- nautilus [⟨1 2 3 3], ⟨0 -6 -10 -3]];
- orson [⟨1 0 3], ⟨0 7 -3]];
- orwell [⟨1 0 3 1], ⟨0 7 -3 8]];
- orwell [⟨1 0 3 1 3], ⟨0 7 -3 8 2]];
- orwell [⟨1 0 3 1 3 8], ⟨0 7 -3 8 2 -19]];
- blair [⟨1 0 3 1 3 3], ⟨0 7 -3 8 2 3]];
- winston [⟨1 0 3 1 3 1], ⟨0 7 -3 8 2 12]];
- doublethink [⟨1 0 3 1 3 2], ⟨0 14 -6 16 4 15]];
- orwell [⟨1 0 3 1 3], ⟨0 7 -3 8 2]];
- orwell [⟨1 0 3 1], ⟨0 7 -3 8]];
- sensi [⟨1 -1 -1], ⟨0 7 9]];
- sensi [⟨1 -1 -1 -2], ⟨0 7 9 13]];
- roman [⟨1 4 3 -1 0 3], ⟨0 -7 -2 11 10 2]];
- octacot [⟨1 1 1 2], ⟨0 8 18 11]];
- würschmidt [⟨1 -1 2], ⟨0 8 1]];
- worschmidt [⟨1 -1 2 7], ⟨0 8 1 -13]];
- wurschmidt [⟨1 -1 2 -3], ⟨0 8 1 18]];
- whirrschmidt [⟨1 7 3 38], ⟨0 -8 -1 -52]];
- valentine [⟨1 1 2], ⟨0 9 5]];
- valentine [⟨1 1 2 3], ⟨0 9 5 -3]];
- valentine [⟨1 1 2 3 3], ⟨0 9 5 -3 7]];
- valentino [⟨1 1 2 3 3 5], ⟨0 9 5 -3 7 -20]];
- dwynwen [⟨1 1 2 3 3 2], ⟨0 9 5 -3 7 26]];
- lupercalia [⟨1 1 2 3 3 3], ⟨0 9 5 -3 7 11]];
- valentine [⟨1 1 2 3 3], ⟨0 9 5 -3 7]];
- valentine [⟨1 1 2 3], ⟨0 9 5 -3]];
- escapade [⟨1 2 2], ⟨0 -9 7]];
- escapade [⟨1 2 2 3], ⟨0 -9 7 -4]];
- escaped [⟨1 2 2 4], ⟨0 -9 7 -26]];
- superkleismic [⟨1 4 5 2], ⟨0 -9 -10 3]];
- superkleismic [⟨1 4 5 2 4], ⟨0 -9 -10 3 -2]];
- mabila [⟨1 6 1], ⟨0 -10 3]];
- myna [⟨1 -1 0 1], ⟨0 10 9 7]];
- myna [⟨1 -1 0 1 -3], ⟨0 10 9 7 25]];
- myna [⟨1 -1 0 1 -3 5], ⟨0 10 9 7 25 -5]];
- myna [⟨1 -1 0 1 -3], ⟨0 10 9 7 25]];
- sycamore [⟨1 1 2], ⟨0 11 6]];
- sycamore [⟨1 1 2 2], ⟨0 11 6 15]];
- septimin [⟨1 4 1 5], ⟨0 -11 6 -10]];
- nusecond [⟨1 3 4 5], ⟨0 -11 -13 -17]];
- quartonic [⟨1 2 3 3], ⟨0 -11 -18 -5]];
- hemikleismic [⟨1 0 1 4], ⟨0 12 10 -9]];
- clyde [⟨1 6 6 12], ⟨0 -12 -10 -25]];
- bohpier [⟨1 0 0 0], ⟨0 13 19 23]];
- gammic [⟨1 1 2], ⟨0 20 11]];
- gammic [⟨1 1 2 0], ⟨0 20 11 96]];
- neptune [⟨1 21 13 13], ⟨0 -40 -22 -21]];
- pluto [⟨1 5 15 15 2], ⟨0 7 26 25 -3]];
- twothirdtonic [⟨1 3 2 4 4], ⟨0 -13 3 -11 -5]];
- twothirdtonic [⟨1 3 2 4 4 5], ⟨0 -13 3 -11 -5 -12]];
- slender [⟨1 2 2 3], ⟨0 -13 10 -6]];
- slender [⟨1 2 2 3 4], ⟨0 -13 10 -6 -17]];
- parakleismic [⟨1 5 6], ⟨0 -13 -14]];
- parakleismic [⟨1 5 6 12], ⟨0 -13 -14 -35]];
- fortune [⟨1 -1 11], ⟨0 14 -47]];
- hemithirds, luna [⟨1 4 2], ⟨0 -15 2]];
- hemithirds [⟨1 4 2 2], ⟨0 -15 2 5]];
- hemithirds [⟨1 4 2 2 7], ⟨0 -15 2 5 -22]];
- hemithirds [⟨1 4 2 2], ⟨0 -15 2 5]];
- hemiwürschmidt [⟨1 -1 2 2], ⟨0 16 2 5]];
- hemiwürschmidt [⟨1 -1 2 2 -3], ⟨0 16 2 5 40]];
- semisept [⟨1 -5 0 -3], ⟨0 17 6 15]];
- vavoom [⟨1 0 4], ⟨0 17 -18]];
- minortone [⟨1 -1 -3], ⟨0 17 35]];
- mitonic [⟨1 -1 -3 6], ⟨0 17 35 -21]];
- casablanca [⟨1 -7 -4 1], ⟨0 19 14 4]];
- casablanca [⟨1 -7 -4 1 3], ⟨0 19 14 4 1]];
- tertiaseptal [⟨1 3 2 3], ⟨0 -22 5 -3]];
- grendel, voodoo [⟨1 9 2 7], ⟨0 -23 1 -13]];
- gamera [⟨1 6 10 3], ⟨0 -23 -40 -1]];
- astro [⟨1 5 1], ⟨0 -31 12]];
- semihemiwürschmidt [⟨1 15 4 7 24], ⟨0 -32 -4 -10 -49]];
- whoosh [⟨1 17 14], ⟨0 -33 -25]];
- yarman [⟨1 2 3 4 4], ⟨0 -33 -54 -95 -43]];
- senior [⟨1 11 19], ⟨0 -35 -62]];
- raider [⟨1 -9 -26], ⟨0 37 99]];
- supermajor [⟨1 15 19 30], ⟨0 -37 -46 -75]];
- quasiorwell [⟨1 -7 3 1], ⟨0 38 -3 8]];
- semigamera [⟨1 6 10 3 12], ⟨0 -46 -80 -2 -89]];
- gross [⟨1 -2 4], ⟨0 47 -22]];
- pirate [⟨1 -6 0], ⟨0 49 15]];
- egads [⟨1 15 16], ⟨0 -51 -52]];
Two periods per octave
- srutal [⟨2 3 5], ⟨0 1 -2]];
- pajara [⟨2 3 5 6], ⟨0 1 -2 -2]];
- pajaric [⟨2 3 5 6 7], ⟨0 1 -2 -2 0]];
- pajarous [⟨2 3 5 6 6], ⟨0 1 -2 -2 5]];
- pajara [⟨2 3 5 6 8], ⟨0 1 -2 -2 -6]];
- diaschismic [⟨2 3 5 7], ⟨0 1 -2 -8]];
- diaschismic [⟨2 3 5 7 9 10], ⟨0 1 -2 -8 -12 -15]];
- keen [⟨2 3 5 4], ⟨0 1 -2 9]];
- pajara [⟨2 3 5 6], ⟨0 1 -2 -2]];
- supersharp [⟨2 3 4], ⟨0 1 3]];
- octokaidecal [⟨2 3 4 5], ⟨0 1 3 3]];
- bipelog [⟨2 3 5 6], ⟨0 1 -3 -3]];
- injera [⟨2 3 4 5], ⟨0 1 4 4]];
- injera [⟨2 3 4 5 6], ⟨0 1 4 4 6]];
- bischismic [⟨2 3 6 9], ⟨0 1 -8 -20]];
- shrutar [⟨2 3 5 5], ⟨0 2 -4 7]];
- shrutar [⟨2 3 5 5 7], ⟨0 2 -4 7 -1]];
- srutar [⟨2 3 5 5 7 8], ⟨0 2 -4 7 -1 -7]];
- shrutar [⟨2 3 5 5 7 6], ⟨0 2 -4 7 -1 16]];
- shrutar [⟨2 3 5 5 7], ⟨0 2 -4 7 -1]];
- echidna [⟨2 1 9 2], ⟨0 3 -6 5]];
- echidna [⟨2 1 9 2 12], ⟨0 3 -6 5 -7]];
- decimal [⟨2 4 5 6], ⟨0 -2 -1 -1]];
- semihemi [⟨2 4 15 11 21], ⟨0 -2 -25 -13 -34]];
- lemba [⟨2 2 5 6], ⟨0 3 -1 -1]];
- hedgehog [⟨2 4 6 7], ⟨0 -3 -5 -5]];
- doublewide [⟨2 5 6], ⟨0 -4 -3]];
- doublewide[⟨2 5 6 7], ⟨0 -4 -3 -3]];
- doublewide [⟨2 5 6 7 6], ⟨0 -4 -3 -3 2]];
- doublewide[⟨2 5 6 7], ⟨0 -4 -3 -3]];
- sesquiquartififths [⟨2 2 14 10], ⟨0 4 -32 -15]];
- hemiamity [⟨2 1 -1 13 13], ⟨0 5 13 -17 -14]];
- wizard [⟨2 1 5 2], ⟨0 6 -1 10]];
- wizard [⟨2 1 5 2 8], ⟨0 6 -1 10 -3]];
- unidec [⟨2 5 8 5], ⟨0 -6 -11 2]];
- unidec [⟨2 5 8 5 6], ⟨0 -6 -11 2 3]];
- hendec [⟨2 5 8 5 6 8], ⟨0 -6 -11 2 3 -2]];
- unidec [⟨2 5 8 5 6], ⟨0 -6 -11 2 3]];
- harry [⟨2 4 7 7], ⟨0 -6 -17 -10]];
- vishnu [⟨2 4 5], ⟨0 -7 -3]];
- vishnu [⟨2 4 5 10], ⟨0 -7 -3 -37]];
- kwazy [⟨2 1 6], ⟨0 8 -5]];
- bisupermajor [⟨2 1 6 1 8], ⟨0 8 -5 17 -4]];
- semiparakleismic [⟨2 -3 -2 -11 -4], ⟨0 13 14 35 23]];
- hemigamera [⟨2 12 20 6], ⟨0 -23 -40 -1]];
- hemigamera [⟨2 12 20 6 5], ⟨0 -23 -40 -1 5]];
- abigail [⟨2 7 13 -1 1 -2], ⟨0 -11 -24 19 17 27]];
Three periods per octave
- augmented [⟨3 5 7], ⟨0 -1 0]];
- augene, tripletone [⟨3 5 7 8], ⟨0 -1 0 2]];
- augene, tripletone [⟨3 5 7 8 10], ⟨0 -1 0 2 2]];
- august [⟨3 5 7 9], ⟨0 -1 0 -2]];
- augene, tripletone [⟨3 5 7 8], ⟨0 -1 0 2]];
- misty [⟨3 5 6], ⟨0 -1 4]];
- misty [⟨3 5 6 6], ⟨0 -1 4 10]];
- term [⟨3 5 5 4], ⟨0 -1 8 18]];
- semiaug [⟨3 5 7 9], ⟨0 -2 0 -5]];
- tritikleismic [⟨3 6 8 8], ⟨0 -6 -5 2]];
- mutt [⟨3 5 7 8], ⟨0 -7 -1 12]];
- ternary [⟨3 5 7 8], ⟨3 5 7 9]];
Four or more periods per octave
- diminished [⟨4 6 9], ⟨0 1 1]];
- diminished [⟨4 6 9 11], ⟨0 1 1 1]];
- diminished [⟨4 6 9 11 14], ⟨0 1 1 1 0]];
- demolished [⟨4 6 9 11 13], ⟨0 1 1 1 3]];
- diminished [⟨4 6 9 11], ⟨0 1 1 1]];
- blackwood [⟨5 8 12], ⟨0 0 -1]];
- blacksmith [⟨5 8 12 14], ⟨0 0 -1 0]];
- hexe [⟨6 10 14 17], ⟨0 -1 0 0]];
- jamesbond [⟨7 11 16 20], ⟨0 0 0 -1]];
- jamesbond [⟨7 11 16 20 24], ⟨0 0 0 -1 0]];
- whitewood [⟨7 11 16], ⟨0 0 1]];
- octoid [⟨8 13 19 23 28], ⟨0 -3 -4 -5 -3]];
- ennealimmal [⟨9 15 22], ⟨0 -2 -3]];
- ennealimmal [⟨9 15 22 26], ⟨0 -2 -3 -2]];
- ennealimmal [⟨9 15 22 26 37], ⟨0 -2 -3 -2 -16]];
- ennealimmal [⟨9 15 22 26], ⟨0 -2 -3 -2]];
- decoid [⟨10 0 47 36], ⟨0 2 -3 -1]];
- decoid [⟨10 0 47 36 98], ⟨0 2 -3 -1 -8]];
- decoid [⟨10 0 47 36 98 37], ⟨0 2 -3 -1 -8 0]];
- decoid [⟨10 0 47 36 98], ⟨0 2 -3 -1 -8]];
- hendecatonic [⟨11 17 26 30], ⟨0 1 -1 2]];
- catler [⟨12 19 28 34], ⟨0 0 0 -1]];
- compton [⟨12 19 28], ⟨0 0 -1]];
- compton, waage [⟨12 19 28 34], ⟨0 0 -1 -2]];
- compton, duodecimal [⟨12 19 28 34 42], ⟨0 0 -1 -2 -3]];
- compton, waage [⟨12 19 28 34], ⟨0 0 -1 -2]];
- duodecim [⟨12 19 28 34 42], ⟨0 0 0 0 -1]];
- atomic [⟨12 19 28], ⟨0 1 -7]];
- hemiennealimmal [⟨18 28 41 50 62], ⟨0 2 3 2 1]];
- enneadecal [⟨19 30 44], ⟨0 1 1]];
- enneadecal [⟨19 30 44 53], ⟨0 1 1 3]];
- undevigintone [⟨19 30 44 53 66], ⟨0 0 0 0 -1]];
- icosidillic [⟨22 35 51 62 76], ⟨0 -1 1 -2 1]];
- vigintiduo [⟨22 35 51 62 76], ⟨0 0 0 0 1]];
- mystery [⟨29 46 67 81 100 107], ⟨0 0 1 1 1 1]];
- hemienneadecal [⟨38 60 88 106 131], ⟨0 1 1 3 2]];