Proposed names for rank 2 temperaments

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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.

Icon-Todo.png Todo: update

One period per octave

  • father [1 0 4], 0 1 -1]];
    • mother [1 0 4 6], 0 1 -1 -2]];
    • father [1 0 4 -2], 0 1 -1 3]];
  • mavila [1 0 7], 0 1 -3]];
    • pelogic [1 0 7 9], 0 1 -3 -4]];
    • armodue [1 0 7 -5], 0 1 -3 5]];
    • mavila [1 0 7 20], 0 1 -3 -11]];
    • hornbostel [1 0 7 -16], 0 1 -3 12]];
  • meantone [1 0 -4], 0 1 4]];
    • dominant [1 0 -4 6], 0 1 4 -2]];
      • arnold [1 0 -4 6 5], 0 1 4 -2 -1]];
      • dominant [1 0 -4 6 13], 0 1 4 -2 -6]];
      • domineering [1 0 -4 6 -6], 0 1 4 -2 6]];
        • dominatrix [1 0 -4 6 -6 -1], 0 1 4 -2 6 3]];
    • sharptone [1 0 -4 -2], 0 1 4 3]];
      • meanertone [1 0 -4 -2 5], 0 1 4 3 -1]];
    • flattone [1 0 -4 17], 0 1 4 -9]];
      • flattone [1 0 -4 17 -6], 0 1 4 -9 6]];
    • meantone [1 0 -4 -13], 0 1 4 10]];
      • meanenneadecal [1 0 -4 -13 -6], 0 1 4 10 6]];
      • meanpop [1 0 -4 -13 24], 0 1 4 10 -13]];
      • meantone [1 0 -4 -13 -25], 0 1 4 10 18]];
  • avila [1 0 -7], 0 1 6]];
  • helmholtz [1 0 15], 0 1 -8]];
    • schism [1 0 15 6], 0 1 -8 -2]];
    • garibaldi [1 0 15 25], 0 1 -8 -14]];
      • cassandra [1 0 15 25 -33], 0 1 -8 -14 23]];
        • cassandra [1 0 15 25 -33 -28], 0 1 -8 -14 23 20]];
      • andromeda [1 0 15 25 32], 0 1 -8 -14 -18]];
        • andromeda [1 0 15 25 32 37], 0 1 -8 -14 -18 -21]];
    • grackle [1 0 15 44], 0 1 -8 -26]];
    • pontiac, infraschismic [1 0 15 -59], 0 1 -8 39]];
  • superpyth [1 0 -12], 0 1 9]];
    • superpyth [1 0 -12 6], 0 1 9 -2]];
      • superpyth [1 0 -12 6 -22], 0 1 9 -2 16]];
      • suprapyth [1 0 -12 6 13], 0 1 9 -2 -6]];
  • quasisuper [1 0 23 6], 0 1 -13 -2]];
  • leapday [1 0 -31 -21 -14 -9], 0 1 21 15 11 8]];
  • kwai [1 0 -50 -40], 0 1 33 27]];
    • kwai [1 0 -50 -40 32], 0 1 33 27 -18]];
  • undecental [1 0 61 71], 0 1 -37 -43]];
  • counterschismic [1 0 -69], 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]];
    • neutrominant [1 1 0 4 2], 0 2 8 -4 5]];
      • neutrominant [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 0 0], 0 2 3]];
    • beep [1 0 0 2], 0 2 3 1]];
      • pentoid [1 0 0 2 5], 0 2 3 1 -2]];
  • superpelog [1 0 7 2], 0 2 -6 1]];
  • godzilla [1 0 -4 2], 0 2 8 1]];
  • monzismic [1 0 -27], 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 [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]];
  • pycnic [1 0 6 -3], 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]];
  • 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 0 6 7], 0 3 -7 -8]];
  • liese, gawel [1 0 -4 -3], 0 3 12 11]];
  • tricot [1 0 -13], 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]];
    • marvo [1 5 12 29], 0 6 17 46]];
  • 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]];
  • 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]];
  • sensi [1 6 8], 0 7 9]];
    • sensi [1 6 8 11], 0 7 9 13]];
      • sensor [1 6 8 11 -6], 0 7 9 13 -15]];
        • sensor [1 6 8 11 -6 10], 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 7 3], 0 8 1]];
  • 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]];
  • mabila [1 6 1], 0 10 -3]];
  • myna [1 9 9 8], 0 10 9 7]];
    • myna [1 9 9 8 22], 0 10 9 7 25]];
      • myna [1 9 9 8 22 0], 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]];
  • doublethink [1 0 3 1 3 2], 0 14 -6 16 4 15]];
  • 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 13 -36], 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 15 4 7], 0 16 2 5]];
    • hemiwürschmidt [1 15 4 7 37], 0 16 2 5 40]];
  • semisept [1 12 6 12], 0 17 6 15]];
  • vavoom [1 0 4], 0 17 -18]];
  • minortone [1 16 32], 0 17 35]];
    • mitonic [1 16 32 -15], 0 17 35 -21]];
  • casablanca [1 12 10 5], 0 19 14 4]];
    • casablanca [1 12 10 5 4], 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 28 73], 0 37 99]];
  • supermajor [1 15 19 30], 0 37 46 75]];
  • quasiorwell [1 31 0 9], 0 38 -3 8]];
  • semigamera [1 6 10 3 12], 0 46 80 2 89]];
  • gross [1 45 -18], 0 47 -22]];
  • pirate [1 43 15], 0 49 15]];
  • egads [1 15 16], 0 51 52]];

Two periods per octave

  • srutal [2 0 11], 0 1 -2]];
    • pajara [2 0 11 12], 0 1 -2 -2]];
      • pajaric [2 0 11 12 7], 0 1 -2 -2 0]];
      • pajarous [2 0 11 12 -9], 0 1 -2 -2 5]];
      • pajara [2 0 11 12 26], 0 1 -2 -2 -6]];
    • diaschismic [2 0 11 31], 0 1 -2 -8]];
      • diaschismic [2 0 11 31 45 55], 0 1 -2 -8 -12 -15]];
    • keen [2 0 11 -23], 0 1 -2 9]];
  • supersharp [2 0 -5], 0 1 3]];
  • bipelog [2 0 14 15], 0 1 -3 -3]];
  • injera [2 0 -8 -7], 0 1 4 4]];
    • injera [2 0 -8 -7 -12], 0 1 4 4 6]];
  • bischismic [2 0 30 69], 0 1 -8 -20]];
  • shrutar [2 1 9 -2], 0 2 -4 7]];
    • shrutar [2 1 9 -2 8], 0 2 -4 7 -1]];
      • srutar [2 1 9 -2 8 15], 0 2 -4 7 -1 -7]];
      • shrutar [2 1 9 -2 8 -10], 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 0 3 4], 0 2 1 1]];
  • semihemi [2 0 -35 -15 -47], 0 2 25 13 34]];
  • lemba [2 2 5 6], 0 3 -1 -1]];
  • hedgehog [2 1 1 2], 0 3 5 5]];
  • doublewide [2 1 3], 0 4 3]];
    • doublewide [2 1 3 4], 0 4 3 3]];
      • doublewide [2 1 3 4 8], 0 4 3 3 -2]];
  • sesquiquartififths [1 1 7 5], 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]];
  • abigail [2 7 13 -1 1 -2], 0 11 24 -19 -17 -27]];
  • semiparakleismic [2 10 12 24 19], 0 13 14 35 23]];
  • hemigamera [2 12 20 6 5], 0 23 40 1 -5]];

Three periods per octave

  • augmented [3 0 7], 0 1 0]];
    • augene, tripletone [3 0 7 18], 0 1 0 -2]];
      • augene, tripletone [3 0 7 18 20], 0 1 0 -2 -2]];
    • august [3 0 7 -1], 0 1 0 2]];
  • misty [3 0 26], 0 1 -4]];
    • misty [3 0 26 56], 0 1 -4 -10]];
  • term [3 0 45 94], 0 1 -8 -18]];
  • semiaug [3 1 7 -1], 0 2 0 5]];
  • tritikleismic [3 0 3 10], 0 6 5 -2]];
  • mutt [3 5 7 8], 0 7 1 -12]];
  • ternary [3 5 7 0], 0 0 0 1]];

Four or more periods per octave

  • diminished [4 0 3], 0 1 1]];
    • diminished [4 0 3 5], 0 1 1 1]];
      • diminished [4 0 3 5 14], 0 1 1 1 0]];
      • demolished [4 0 3 5 -5], 0 1 1 1 3]];
  • blackwood [5 8 0], 0 0 1]];
  • hexe [6 0 14 17], 0 1 0 0]];
  • jamesbond [7 11 16 0], 0 0 0 1]];
    • jamesbond [7 11 16 0 24], 0 0 0 1 0]];
  • whitewood [7 11 0], 0 0 1]];
  • octoid [8 1 3 3 16], 0 3 4 5 3]];
  • ennealimmal [9 1 1], 0 2 3]];
    • ennealimmal [9 1 1 12], 0 2 3 2]];
      • ennealimmal [9 1 1 12 -75], 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 0 43 -4], 0 1 -1 2]];
  • catler [12 19 28 0], 0 0 0 1]];
  • compton [12 19 0], 0 0 1]];
    • compton, waage [12 19 0 -22], 0 0 1 2]];
      • compton, duodecimal [12 19 0 -22 -42], 0 0 1 2 3]];
  • duodecim [12 19 28 34 0], 0 0 0 0 1]];
  • atomic [12 0 161], 0 1 -7]];
  • hemiennealimmal [18 0 -1 22 48], 0 2 3 2 1]];
  • enneadecal [19 0 14], 0 1 1]];
    • enneadecal [19 0 14 -37], 0 1 1 3]];
  • undevigintone [19 30 44 53 0], 0 0 0 0 1]];
  • icosidillic [22 0 86 -8 111], 0 1 -1 2 -1]];
  • vigintiduo [22 35 51 62 0], 0 0 0 0 1]];
  • mystery [29 46 0 14 33 40], 0 0 1 1 1 1]];
  • hemienneadecal [38 0 28 -74 11], 0 1 1 3 2]];