Revision as of 20:48, 1 December 2018

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.)

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]>
- pelogic [<1 2 1 1], <0 -1 3 4]>
- armodue [<1 2 1 5], <0 -1 3 -5]>
- mavila [<1 2 1 -2], <0 -1 3 11]>
- hornbostel [<1 2 1 8], <0 -1 3 -12]>
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]>
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]>
  - garibaldi [<1 2 -1 -3 13], <0 -1 8 14 -23]>
    - garibaldi [<1 2 -1 -3 13 12], <0 -1 8 14 -23 -20]>
  - cassandra [<1 2 -1 -3 -4], <0 -1 8 14 18]>
    - cassandra [<1 2 -1 -3 -4 -5], <0 -1 8 14 18 21]>
- 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]>
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]>
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]>
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 [<1 1 1 3 1| <0 3 7 -1 13|>
    - gorgo [<1 1 1 3 1 2| <0 3 7 -1 13 9|>
  - spartan [<1 1 1 3 5| <0 3 7 -1 -8|>
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]>
guiron [<1 1 7 3], <0 3 -24 -1]>
porcupine [<1 2 3], <0 -3 -5]>
- hystrix [<1 2 3 3], <0 -3 -5 -1]>
- porcupine [<1 2 3 2], <0 -3 -5 6]>
  - porcupine [<1 2 3 2 4], <0 -3 -5 6 -4]>
- opossum, pentadecimal [<1 2 3 4], <0 -3 -5 -9]>
  - opossum [<1 2 3 4 4], <0 -3 -5 -9 -4]>
  - coendou [<1 2 3 1 4 3], <0 -3 -5 13 -4 5]>
  - porcupinefish [<1 2 3 2 4 6], <0 -3 -5 6 -4 -17]>
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]>
- monkey [<1 1 1 5], <0 4 9 -15]>
- bunya [<1 1 1 -1], <0 4 9 26]>
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]>
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]>
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]>
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]>
- countercata [<1 0 1 11], <0 6 5 -31]>
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]>
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]>
sensi [<1 -1 -1], <0 7 9]>
- sensi [<1 -1 -1 -2], <0 7 9 13]>
  - sensor [<1 -1 -1 -2 9], <0 7 9 13 -15]>
    - sensor [<1 -1 -1 -2 9 0], <0 7 9 13 -15 10]>
sensis [<1 6 8 11 6| <0 -7 -9 -13 -4|] ?
- sensis [<1 6 8 11 6 10| <0 -7 -9 -13 -4 -10|] ?
sensus [<1 6 8 11 23| <0 -7 -9 -13 -31|] ?
- sensus [<1 6 8 11 23 10| <0 -7 -9 -13 -31 -10|] ?
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|]
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]>
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]>
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]>
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]>
avila [<1 1 -1], <0 1 6]>
mabila [<1 6 1], <0 -10 3]>
pycnic [<1 3 -1 8], <0 -3 7 -11]>
enipucrop [<1 2 2], <0 -3 2]>

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]>
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]>
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]>
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]>
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]>
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]>
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]>
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|]
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]>
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]>

@@ Line 1: / Line 1: @@
-Here is a list of some names that have been proposed for rank 2 [[temperaments|temperaments]]. The name or names of the temperament is followed by the generator mapping, which represents the number of periods and [[generator|generator]]s of the temperament for each of the [[prime_interval|prime interval]]s (2, 3, 5 etc.)
+Here is a list of some names that have been proposed for rank 2 [[temperaments|temperaments]]. The name or names of the temperament is followed by the generator mapping, which represents the number of periods and [[generator|generator]]s of the temperament for each of the [[prime_interval|prime interval]]s (2 3 5 etc.)
 See also [[pergen|pergen names]].
 =One period per octave=
-father [&lt;1, 2, 2], &lt;0, -1, 1]&gt;
+* father [&lt;1 2 2], &lt;0 -1 1]&gt;
+** mother [&lt;1 2 2 2], &lt;0 -1 1 2]&gt;
-<ul><li>mother [&lt;1, 2, 2, 2], &lt;0, -1, 1, 2]&gt;</li><li>father [&lt;1, 2, 2, 4], &lt;0, -1, 1, -3]&gt;</li></ul>mavila [&lt;1, 2, 1], &lt;0, -1, 3]&gt;
+** father [&lt;1 2 2 4], &lt;0 -1 1 -3]&gt;
+* mavila [&lt;1 2 1], &lt;0 -1 3]&gt;
-<ul><li>pelogic [&lt;1, 2, 1, 1], &lt;0, -1, 3, 4]&gt;</li><li>armodue [&lt;1, 2, 1, 5], &lt;0, -1, 3
+** pelogic [&lt;1 2 1 1], &lt;0 -1 3 4]&gt;
+** armodue [&lt;1 2 1 5], &lt;0 -1 3 -5]&gt;
+** mavila [&lt;1 2 1 -2], &lt;0 -1 3 11]&gt;
+** hornbostel [&lt;1 2 1 8], &lt;0 -1 3 -12]&gt;
+* [[Meantone_family|
 =Two periods per octave=
-[[Diaschismic_family|srutal]] [&lt;2, 3, 5], &lt;0, 1, -2]&gt;
+* [[Diaschismic_family|srutal]] [&lt;2 3 5], &lt;0 1 -2]&gt;
+** pajara [&lt;2 3 5 6], &lt;0 1 -2 -2]&gt;
-<ul><li>pajara [&lt;2, 3, 5, 6], &lt;0, 1, -2, -2]&gt;<ul><li>pajaric [&lt;2, 3, 5, 6, 7], &lt;0, 1, -2, -2, 0]&gt;</li><li>pajarous [&lt;2, 3, 5, 6, 6], &lt;0, 1, -2, -2, 5]&gt;</li><li>pajara [&lt;2, 3, 5, 6, 8], &lt;0, 1, -2, -2, -6]&gt;</li></ul></li><li>diaschismic [&lt;2, 3, 5, 7], &lt;0, 1, -2, -8]&gt;<ul><li>diaschismic [&lt;2, 3, 5, 7, 9, 10], &lt;0, 1, -2, -8, -12, -15]&gt;</li></ul></li><li>keen [&lt;2, 3, 5, 4], &lt;0, 1, -2, 9]&gt;</li></ul>supersharp [&lt;2, 3, 4], &lt;0, 1, 3]&gt;
+*** pajaric [&lt;2 3 5 6 7], &lt;0 1 -2 -2 0]&gt;
+*** pajarous [&lt;2 3 5 6 6], &lt;0 1 -2 -2 5]&gt;
-<ul><li>octokaidecal [&lt;2, 3, 4, 5], &lt;0, 1, 3, 3]&gt;</li></ul>bipelog [&lt;2, 3, 5, 6], &lt;0, 1, -3, -3]&gt;
+*** pajara [&lt;2 3 5 6 8], &lt;0 1 -2 -2 -6]&gt;
+** diaschismic [&lt;2 3 5 7], &lt;0 1 -2 -8]&gt;
-[[Meantone_family|injera]] [&lt;2, 3, 4, 5], &lt;0, 1, 4, 4]&gt;
+*** diaschismic [&lt;2 3 5 7 9 10], &lt;0 1 -2 -8 -12 -15]&gt;
+** keen [&lt;2 3 5 4], &lt;0 1 -2 9]&gt;
-<ul><li>injera [&lt;2, 3, 4, 5, 6], &lt;0, 1, 4, 4, 6]&gt;</li></ul>[[Schismatic_family|bischismic]] [&lt;2, 3, 6, 9], &lt;0, 1, -8, -20]&gt;
+* supersharp [&lt;2 3 4], &lt;0 1 3]&gt;
+** octokaidecal [&lt;2 3 4 5], &lt;0 1 3 3]&gt;
-[[Diaschismic_family|shrutar]] [&lt;2, 3, 5, 5], &lt;0, 2, -4, 7]&gt;
+* bipelog [&lt;2 3 5 6], &lt;0 1 -3 -3]&gt;
+* [[Meantone_family|injera]] [&lt;2 3 4 5], &lt;0 1 4 4]&gt;
-<ul><li>shrutar [&lt;2, 3, 5, 5, 7], &lt;0, 2, -4, 7, -1]&gt;<ul><li>srutar [&lt;2, 3, 5, 5, 7, 8], &lt;0, 2, -4, 7, -1, -7]&gt;</li><li>shrutar [&lt;2, 3, 5, 5, 7, 6], &lt;0, 2, -4, 7, -1, 16]&gt;</li></ul></li></ul>[[Diaschismic_family|echidna]] [&lt;2, 1, 9, 2], &lt;0, 3, -6, 5]&gt;
+** injera [&lt;2 3 4 5 6], &lt;0 1 4 4 6]&gt;
+* [[Schismatic_family|bischismic]] [&lt;2 3 6 9], &lt;0 1 -8 -20]&gt;
-<ul><li>echidna [&lt;2, 1, 9, 2, 12], &lt;0, 3, -6, 5, -7]&gt;</li></ul>[[Dicot_family|decimal]] [&lt;2, 4, 5, 6], &lt;0, -2, -1, -1]&gt;
+* [[Diaschismic_family|shrutar]] [&lt;2 3 5 5], &lt;0 2 -4 7]&gt;
+** shrutar [&lt;2 3 5 5 7], &lt;0 2 -4 7 -1]&gt;
-[[Breedsmic_temperaments#Semihemi|Semihemi]] [&lt;2, 4, 15, 11, 21], &lt;0, -2, -25, -13, -34]&gt;
+*** srutar [&lt;2 3 5 5 7 8], &lt;0 2 -4 7 -1 -7]&gt;
+*** shrutar [&lt;2 3 5 5 7 6], &lt;0 2 -4 7 -1 16]&gt;
-[[Gamelismic_clan#Lemba|lemba]] [&lt;2, 2, 5, 6], &lt;0, 3, -1, -1]&gt;
+* [[Diaschismic_family|echidna]] [&lt;2 1 9 2], &lt;0 3 -6 5]&gt;
+** echidna [&lt;2 1 9 2 12], &lt;0 3 -6 5 -7]&gt;
-[[Porcupine_family|hedgehog]] [&lt;2, 4, 6, 7], &lt;0, -3, -5, -5]&gt;
+* [[Dicot_family|decimal]] [&lt;2 4 5 6], &lt;0 -2 -1 -1]&gt;
+* [[Breedsmic_temperaments#Semihemi|semihemi]] [&lt;2 4 15 11 21], &lt;0 -2 -25 -13 -34]&gt;
-doublewide [&lt;2, 5, 6], &lt;0, -4, -3]&gt;
+* [[Gamelismic_clan#Lemba|lemba]] [&lt;2 2 5 6], &lt;0 3 -1 -1]&gt;
+* [[Porcupine_family|hedgehog]] [&lt;2 4 6 7], &lt;0 -3 -5 -5]&gt;
-<ul><li>[[Jubilismic_clan|doublewide]][&lt;2, 5, 6, 7], &lt;0, -4, -3, -3]&gt;<ul><li>[[Jubilismic_clan|doublewide]] [&lt;2, 5, 6, 7, 6], &lt;0, -4, -3, -3, 2]&gt;</li></ul></li></ul>[[Schismatic_family|sesquiquartififths]] [&lt;2, 2, 14, 10], &lt;0, 4, -32, -15]&gt;
+* doublewide [&lt;2 5 6], &lt;0 -4 -3]&gt;
+** [[Jubilismic_clan|doublewide]][&lt;2 5 6 7], &lt;0 -4 -3 -3]&gt;
-hemiamity [&lt;2, 1, -1, 13, 13], &lt;0, 5, 13, -17, -14]&gt;
+*** [[Jubilismic_clan|doublewide]] [&lt;2 5 6 7 6], &lt;0 -4 -3 -3 2]&gt;
+* [[Schismatic_family|sesquiquartififths]] [&lt;2 2 14 10], &lt;0 4 -32 -15]&gt;
-wizard [&lt;2, 1, 5, 2], &lt;0, 6, -1, 10]&gt;
+* hemiamity [&lt;2 1 -1 13 13], &lt;0 5 13 -17 -14]&gt;
+* wizard [&lt;2 1 5 2], &lt;0 6 -1 10]&gt;
-<ul><li>wizard [&lt;2, 1, 5, 2, 8], &lt;0, 6, -1, 10, -3]&gt;</li></ul>[[Gamelismic_clan#Unidec|unidec]] [&lt;2, 5, 8, 5], &lt;0, -6, -11, 2]&gt;
+** wizard [&lt;2 1 5 2 8], &lt;0 6 -1 10 -3]&gt;
+* [[Gamelismic_clan#Unidec|unidec]] [&lt;2 5 8 5], &lt;0 -6 -11 2]&gt;
-<ul><li>unidec [&lt;2, 5, 8, 5, 6], &lt;0, -6, -11, 2, 3]&gt;<ul><li>hendec [&lt;2, 5, 8, 5, 6, 8], &lt;0, -6, -11, 2, 3, -2]&gt;</li></ul></li></ul>[[Breedsmic_temperaments|harry]] [&lt;2, 4, 7, 7], &lt;0, -6, -17, -10]&gt;
+** unidec [&lt;2 5 8 5 6], &lt;0 -6 -11 2 3]&gt;
+*** hendec [&lt;2 5 8 5 6 8], &lt;0 -6 -11 2 3 -2]&gt;
-vishnu [&lt;2, 4, 5], &lt;0, -7, -3]&gt;
+* [[Breedsmic_temperaments|harry]] [&lt;2 4 7 7], &lt;0 -6 -17 -10]&gt;
+* vishnu [&lt;2 4 5], &lt;0 -7 -3]&gt;
-<ul><li>vishnu [&lt;2, 4, 5, 10], &lt;0, -7, -3, -37]&gt;</li></ul>kwazy [&lt;2, 1, 6], &lt;0, 8, -5]&gt;
+** vishnu [&lt;2 4 5 10], &lt;0 -7 -3 -37]&gt;
+* kwazy [&lt;2 1 6], &lt;0 8 -5]&gt;
-<ul><li>bisupermajor [&lt;2, 1, 6, 1, 8], &lt;0, 8, -5, 17, -4]&gt;</li></ul>semiparakleismic [&lt;2, -3, -2, -11, -4], &lt;0, 13, 14, 35, 23]&gt;
+** bisupermajor [&lt;2 1 6 1 8], &lt;0 8 -5 17 -4]&gt;
+* semiparakleismic [&lt;2 -3 -2 -11 -4], &lt;0 13 14 35 23]&gt;
-hemigamera [&lt;2, 12, 20, 6], &lt;0, -23, -40, -1]&gt;
+* hemigamera [&lt;2 12 20 6], &lt;0 -23 -40 -1]&gt;
+** hemigamera [&lt;2 12 20 6 5], &lt;0 -23 -40 -1 5]&gt;
-<ul><li>hemigamera [&lt;2, 12, 20, 6, 5], &lt;0, -23, -40, -1, 5]&gt;</li></ul>abigail [&lt;2, 7, 13, -1, 1, -2], &lt;0, -11, -24, 19, 17, 27]&gt;
+* abigail [&lt;2 7 13 -1 1 -2], &lt;0 -11 -24 19 17 27]&gt;
 =Three periods per octave=
-[[Augmented_family|augmented]] [&lt;3, 5, 7], &lt;0, -1, 0]&gt;
+* [[Augmented_family|augmented]] [&lt;3 5 7], &lt;0 -1 0]&gt;
+** augene, tripletone [&lt;3 5 7 8], &lt;0 -1 0 2]&gt;
-<ul><li>augene, tripletone [&lt;3, 5, 7, 8], &lt;0, -1, 0, 2]&gt;<ul><li>augene, tripletone [&lt;3, 5, 7, 8, 10], &lt;0, -1, 0, 2, 2]&gt;</li></ul></li><li>august [&lt;3, 5, 7, 9], &lt;0, -1, 0, -2]&gt;</li></ul>misty [&lt;3, 5, 6], &lt;0, -1, 4]&gt;
+*** augene, tripletone [&lt;3 5 7 8 10], &lt;0 -1 0 2 2]&gt;
+** august [&lt;3 5 7 9], &lt;0 -1 0 -2]&gt;
-<ul><li>misty [&lt;3, 5, 6, 6], &lt;0, -1, 4, 10]&gt;</li></ul>term [&lt;3, 5, 5, 4], &lt;0, -1, 8, 18]&gt;
+* misty [&lt;3 5 6], &lt;0 -1 4]&gt;
+** misty [&lt;3 5 6 6], &lt;0 -1 4 10]&gt;
-semiaug [&lt;3, 5, 7, 9], &lt;0, -2, 0, -5]&gt;
+* term [&lt;3 5 5 4], &lt;0 -1 8 18]&gt;
+* semiaug [&lt;3 5 7 9], &lt;0 -2 0 -5]&gt;
-[[Kleismic_family|tritikleismic]] [&lt;3, 6, 8, 8], &lt;0, -6, -5, 2]&gt;
+* [[Kleismic_family|tritikleismic]] [&lt;3 6 8 8], &lt;0 -6 -5 2]&gt;
+* [[Mutt_family|mutt]] [&lt;3 5 7 8], &lt;0 -7 -1 12]&gt;
-[[Mutt_family|mutt]] [&lt;3, 5, 7, 8], &lt;0, -7, -1, 12]&gt;
+* ternary [&lt;3 5 7 8], &lt;3 5 7 9]&gt;
-ternary [&lt;3, 5, 7, 8], &lt;3, 5, 7, 9]&gt;
 =Four or more periods per octave=
-diminished [&lt;4, 6, 9], &lt;0, 1, 1]&gt;
+* diminished [&lt;4 6 9], &lt;0 1 1]&gt;
+** diminished [&lt;4 6 9 11], &lt;0 1 1 1]&gt;
-<ul><li>diminished [&lt;4, 6, 9, 11], &lt;0, 1, 1, 1]&gt;<ul><li>diminished [&lt;4, 6, 9, 11, 14], &lt;0, 1, 1, 1, 0]&gt;</li><li>demolished [&lt;4, 6, 9, 11, 13], &lt;0, 1, 1, 1, 3]&gt;</li></ul></li></ul>blackwood [&lt;5, 8, 12], &lt;0, 0, -1]&gt;
+*** diminished [&lt;4 6 9 11 14], &lt;0 1 1 1 0]&gt;
+*** demolished [&lt;4 6 9 11 13], &lt;0 1 1 1 3]&gt;
-<ul><li>blacksmith [&lt;5, 8, 12, 14], &lt;0, 0, -1, 0]&gt;</li></ul>hexe [&lt;6, 10, 14, 17], &lt;0, -1, 0, 0]&gt;
+* blackwood [&lt;5 8 12], &lt;0 0 -1]&gt;
+** blacksmith [&lt;5 8 12 14], &lt;0 0 -1 0]&gt;
-jamesbond [&lt;7, 11, 16, 20], &lt;0, 0, 0, -1]&gt;
+* hexe [&lt;6 10 14 17], &lt;0 -1 0 0]&gt;
+* jamesbond [&lt;7 11 16 20], &lt;0 0 0 -1]&gt;
-<ul><li>jamesbond [&lt;7, 11, 16, 20, 24], &lt;0, 0, 0, -1, 0]&gt;</li></ul>whitewood [&lt;7, 11, 16], &lt;0, 0, 1]&gt;
+** jamesbond [&lt;7 11 16 20 24], &lt;0 0 0 -1 0]&gt;
+* whitewood [&lt;7 11 16], &lt;0 0 1]&gt;
-octoid [&lt;8, 13, 19, 23, 28], &lt;0, -3, -4, -5, -3]&gt;
+* octoid [&lt;8 13 19 23 28], &lt;0 -3 -4 -5 -3]&gt;
+* [[Ragismic_microtemperaments|ennealimmal]] [&lt;9 15 22], &lt;0 -2 -3]&gt;
-[[Ragismic_microtemperaments|ennealimmal]] [&lt;9, 15, 22], &lt;0, -2, -3]&gt;
+** ennealimmal [&lt;9 15 22 26], &lt;0 -2 -3 -2]&gt;
+*** ennealimmal [&lt;9 15 22 26 37], &lt;0 -2 -3 -2 -16]&gt;
-<ul><li>ennealimmal [&lt;9, 15, 22, 26], &lt;0, -2, -3, -2]&gt;<ul><li>ennealimmal [&lt;9, 15, 22, 26, 37], &lt;0, -2, -3, -2, -16]&gt;</li></ul></li></ul>[[Breedsmic_temperaments|decoid]] [&lt;10 0 47 36|, &lt;0 2 -3 -1|]
+* [[Breedsmic_temperaments|decoid]] [&lt;10 0 47 36| &lt;0 2 -3 -1|]
+** decoid [&lt;10 0 47 36 98| &lt;0 2 -3 -1 -8|]
-<ul><li>decoid [&lt;10 0 47 36 98|, &lt;0 2 -3 -1 -8|]<ul><li>decoid [&lt;10 0 47 36 98 37|, &lt;0 2 -3 -1 -8 0|]</li></ul></li></ul>hendecatonic [&lt;11, 17, 26, 30], &lt;0, 1, -1, 2]&gt;
+*** decoid [&lt;10 0 47 36 98 37| &lt;0 2 -3 -1 -8 0|]
+* hendecatonic [&lt;11 17 26 30], &lt;0 1 -1 2]&gt;
-[[Pythagorean_family|catler]] [&lt;12, 19, 28, 34], &lt;0, 0, 0, -1]&gt;
+* [[Pythagorean_family|catler]] [&lt;12 19 28 34], &lt;0 0 0 -1]&gt;
+* [[Pythagorean_family|compton]] [&lt;12 19 28], &lt;0 0 -1]&gt;
-[[Pythagorean_family|compton]] [&lt;12, 19, 28], &lt;0, 0, -1]&gt;
+** compton, waage [&lt;12 19 28 34], &lt;0 0 -1 -2]&gt;
+*** compton, duodecimal [&lt;12 19 28 34 42], &lt;0 0 -1 -2 -3]&gt;
-<ul><li>compton, waage [&lt;12, 19, 28, 34], &lt;0, 0, -1, -2]&gt;<ul><li>compton, duodecimal [&lt;12, 19, 28, 34, 42], &lt;0, 0, -1, -2, -3]&gt;</li></ul></li></ul>duodecim <span style="background-color: #ffffff;">[&lt;12, 19, 28, 34, 42], &lt;0, 0, 0, 0, -1]&gt;</span>
+* duodecim [&lt;12 19 28 34 42], &lt;0 0 0 0 -1]&gt;
+* atomic [&lt;12 19 28], &lt;0 1 -7]&gt;
-atomic [&lt;12, 19, 28], &lt;0, 1, -7]&gt;
+* hemiennealimmal [&lt;18 28 41 50 62], &lt;0 2 3 2 1]&gt;
+* [[Ragismic_microtemperaments|enneadecal]] [&lt;19 30 44], &lt;0 1 1]&gt;
-hemiennealimmal [&lt;18, 28, 41, 50, 62], &lt;0, 2, 3, 2, 1]&gt;
+** enneadecal [&lt;19 30 44 53], &lt;0 1 1 3]&gt;
+* undevigintone [&lt;19 30 44 53 66], &lt;0 0 0 0 -1]&gt;
-[[Ragismic_microtemperaments|enneadecal]] [&lt;19, 30, 44], &lt;0, 1, 1]&gt;
+* icosidillic [&lt;22 35 51 62 76], &lt;0 -1 1 -2 1]&gt;
+* vigintiduo [&lt;22 35 51 62 76], &lt;0 0 0 0 1]&gt;
-<ul><li>enneadecal [&lt;19, 30, 44, 53], &lt;0, 1, 1, 3]&gt;</li></ul>undevigintone <span style="background-color: #ffffff;">[&lt;19, 30, 44, 53, 66], &lt;0, 0, 0, 0, -1]&gt;</span>
+* mystery [&lt;29 46 67 81 100 107], &lt;0 0 1 1 1 1]&gt;
+* hemienneadecal [&lt;38 60 88 106 131], &lt;0 1 1 3 2]&gt;
-icosidillic [&lt;22, 35, 51, 62, 76], &lt;0, -1, 1, -2, 1]&gt;
-<span style="background-color: #ffffff;">vigintiduo [&lt;22, 35, 51, 62, 76], &lt;0, 0, 0, 0, 1]&gt;</span>
-mystery [&lt;29, 46, 67, 81, 100, 107], &lt;0, 0, 1, 1, 1, 1]&gt;
-hemienneadecal [&lt;38, 60, 88, 106, 131], &lt;0, 1, 1, 3, 2]&gt;
 [[Category:list]]
@@ Line 309: / Line 312: @@
 [[Category:proposal]]
 [[Category:rank_2]]
-[[Category:temperaments]]
+[[Category:temperament]]
 [[Category:theory]]

Proposed names for rank-2 temperaments: Difference between revisions

Revision as of 20:48, 1 December 2018

Contents

One period per octave

Two periods per octave

Three periods per octave

Four or more periods per octave

Navigation menu

Proposed names for rank-2 temperaments: Difference between revisions

Revision as of 20:48, 1 December 2018

One period per octave

Two periods per octave

Three periods per octave

Four or more periods per octave

Navigation menu

Search