|
|
| (24 intermediate revisions by 13 users not shown) |
| Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | Here is a list of some names that have been proposed for rank-2 [[regular temperament|temperaments]]. 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.) |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2012-03-20 08:12:50 UTC</tt>.<br>
| |
| : The original revision id was <tt>312751256</tt>.<br>
| |
| : The revision comment was: <tt></tt><br>
| |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| |
| <h4>Original Wikitext content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">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 [[generator]]s of the temperament for each of the [[prime interval]]s (2, 3, 5 etc.)
| |
|
| |
|
| =One period per octave=
| | {{Todo|inline=1| update }} |
| 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 family|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 <span style="background-color: #ffffff;">[<1, 2, 4, -1, 6], <0, -1, -4, 9, -6]></span>
| |
| * 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]>
| |
| [[Schismatic family|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 family|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]>
| |
| [[Meantone family#Mohajira|mohajira]] semififths[<1, 1, 0, 6], <0, 2, 8, -11]>
| |
| * mohajira <1, 1, 0, 6, 2], <0, 2, 8, -11, 5]>
| |
| [[Meantone family|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]>
| |
| [[Turkish maqam music temperaments|karadeniz]] [<1, 1, 7, 11, 2], <0, 2, -16, -28, 5]>
| |
| [[Breedsmic temperaments#Hemififths|hemififths]] [<1, 1, -5, -1], <0, 2, 25, 13]>
| |
| [[Bug family|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]>
| |
| [[Meantone family#Godzilla|godzilla]] [<1, 2, 4, 3], <0, -2, -8, -1]>
| |
| monzismic [<1, 2, 10], <0, -2, -37]>
| |
| [[Gamelismic clan#Gidorah|gidorah]] [<1, 1, 2, 3], <0, 3, 2, -1]>
| |
| penta [<1, 1, 2, 2], <0, 3, 2, 4]>
| |
| [[Laconic Family|laconic]] [<1, 1, 1], <0, 3, 7]>
| |
| [[Gamelismic clan#Gorgo|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|>
| |
| [[Meantone family#Mothra|mothra]], cynder [<1, 1, 0, 3], <0, 3, 12, -1]>
| |
| * mothra, cynder [<1, 1, 0, 3, 5], <0, 3, 12, -1, -8]>
| |
| [[Gamelismic clan#Rodan|rodan]] [<1, 1, -1, 3], <0, 3, 17, -1]>
| |
| * [[Gamelismic clan#Rodan|rodan]][<1, 1, -1, 3, 6], <0, 3, 17, -1, -13]>
| |
| ** [[Gamelismic clan#Rodan|rodan]] [<1, 1, -1, 3, 6, 8], <0, 3, 17, -1, -13, -22]>
| |
| ** [[Gamelismic clan#Rodan|superduper]] [<1, 1, -1, 3, 6, -1], <0, 3, 17, -1, -13, 24]>
| |
| [[Schismatic family#Guiron|guiron]] [<1, 1, 7, 3], <0, 3, -24, -1]>
| |
| [[Porcupine family|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]>
| |
| * ammonite [<1, 5, 8, 10], <0, -9, -15, -19]>
| |
| * porcupinefish [<1, 2, 3, 2, 4, 6], <0, -3, -5, 6, -4, -17]>
| |
| triton [<1, 3, -1, -1], <0, -3, 7, 8]>
| |
| [[Meantone family#liese|liese]], gawel [<1, 3, 8, 8], <0, -3, -12, -11]>
| |
| tricot [<1, 3, 16], <0, -3, -29]>
| |
| [[Tetracot family|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]>
| |
| [[Schismatic family|sesquiquartififths]] [<1, 1, 7, 5], <0, 4, -32, -15]>
| |
| semihemififths [<1, 1, -5, -1, 8], <0, 4, 50, 26, -31]>
| |
| [[Dicot family|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]>
| |
| [[Meantone family#Squares|squares]] [<1, 3, 8, 6], <0, -4, -16, -9]>
| |
| [[Magic family|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]>
| |
| [[Ragismic microtemperaments|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]>
| |
| [[Kleismic family|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]>
| |
| * [[Gamelismic clan#Miracle|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]>
| |
| [[Porcupine family|nautilus]] [<1, 2, 3, 3], <0, -6, -10, -3]>
| |
| [[Semicomma family|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]>
| |
| * [[Starling temperaments#Sensi%20temperament|sensi]] [<1, -1, -1, -2], <0, 7, 9, 13]>
| |
| [[Starling temperaments#Sensi%20temperament-Sensor|sensor]] [<1, -1, -1, -2, 9], <0, 7, 9, 13, -15]>
| |
| * sensor [<1, -1, -1, -2, 9, 0], <0, 7, 9, 13, -15, 10]>
| |
| [[Starling temperaments#Sensi%20temperament-Sensis|sensis]] [<1 6 8 11 6|, <0 -7 -9 -13 -4|]
| |
| * sensis [<1 6 8 11 6 10|, <0 -7 -9 -13 -4 -10|]
| |
| [[Starling temperaments#Sensi%20temperament-Sensus|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]>
| |
| [[Tetracot family#Octacot|octacot]] [<1, 1, 1, 2], <0, 8, 18, 11]>
| |
| [[Würschmidt family|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]>
| |
| * [[Starling temperaments#Valentine%20temperament|valentine]][<1, 1, 2, 3], <0, 9, 5, -3]>
| |
| ** valentine [<1, 1, 2, 3, 3], <0, 9, 5, -3, 7]>
| |
| *** [[Starling temperaments#Valentine%20temperament-Valentino|valentino]] [<1, 1, 2, 3, 3, 5], <0, 9, 5, -3, 7, -20]>
| |
| *** [[Starling temperaments#Valentine%20temperament-Dwynwen|dwynwen]] [<1, 1, 2, 3, 3, 2], <0, 9, 5, -3, 7, 26]>
| |
| *** [[Starling temperaments#Valentine%20temperament-Lupercalia|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]>
| |
| [[Gamelismic clan#Superkleismic|superkleismic]] [<1, 4, 5, 2], <0, -9, -10, 3]>
| |
| * superkleismic [<1, 4, 5, 2, 4], <0, -9, -10, 3, -2]>
| |
| [[Starling temperaments#Myna%20temperament|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 family|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]>
| |
| [[Starling temperaments#Nusecond%20temperament|nusecond]] [<1, 3, 4, 5], <0, -11, -13, -17]>
| |
| quartonic [<1, 2, 3, 3], <0, -11, -18, -5]>
| |
| [[Kleismic family|hemikleismic]] [<1, 0, 1, 4], <0, 12, 10, -9]>
| |
| [[Kleismic family|clyde]] [<1, 6, 6, 12], <0, -12, -10, -25]>
| |
| bohpier [<1, 0, 0, 0], <0, 13, 19, 23]>
| |
| [[Gammic family|gammic]] [<1, 1, 2], <0, 20, 11]>
| |
| * gammic [<1, 1, 2, 0], <0, 20, 11, 96]>
| |
| [[Gammic family|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]>
| |
| [[Ragismic microtemperaments|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]>
| |
| * [[Gamelismic clan#Hemithirds|hemithirds]][<1, 4, 2, 2], <0, -15, 2, 5]>
| |
| ** [[Gamelismic clan#Hemithirds|hemithirds]] [<1, 4, 2, 2, 7], <0, -15, 2, 5, -22]>
| |
| [[Wuerschmidt family|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]>
| |
| [[Minortonic family|minortone]] [<1, -1, -3], <0, 17, 35]>
| |
| * [[Minortonic family#Mitonic|mitonic]] [<1, -1, -3, 6], <0, 17, 35, -21]>
| |
| [[Starling temperaments|casablanca]] [<1, -7, -4, 1], <0, 19, 14, 4]>
| |
| * [[Starling temperaments#Casablanca%20temperament|casablanca]] [<1, -7, -4, 1, 3], <0, 19, 14, 4, 1]>
| |
| [[Breedsmic temperaments|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]>
| |
| [[Turkish maqam music temperaments|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]>
| |
| [[Breedsmic temperaments|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=
| | == One period per octave == |
| [[Diaschismic family|srutal]] [<2, 3, 5], <0, 1, -2]>
| | * [[father]] [{{val| 1 0 4 }}, {{val| 0 1 -1}}]; |
| * pajara [<2, 3, 5, 6], <0, 1, -2, -2]>
| | ** mother [{{val| 1 0 4 6 }}, {{val| 0 1 -1 -2}}]; |
| ** pajaric [<2, 3, 5, 6, 7], <0, 1, -2, -2, 0]>
| | ** father [{{val| 1 0 4 -2 }}, {{val| 0 1 -1 3}}]; |
| ** pajarous [<2, 3, 5, 6, 6], <0, 1, -2, -2, 5]>
| | * [[mavila]] [{{val| 1 0 7 }}, {{val| 0 1 -3}}]; |
| ** pajara [<2, 3, 5, 6, 8], <0, 1, -2, -2, -6]>
| | ** [[pelogic]] [{{val| 1 0 7 9 }}, {{val| 0 1 -3 -4}}]; |
| * diaschismic [<2, 3, 5, 7], <0, 1, -2, -8]>
| | ** [[armodue]] [{{val| 1 0 7 -5 }}, {{val| 0 1 -3 5}}]; |
| ** diaschismic [<2, 3, 5, 7, 9, 10], <0, 1, -2,
| | ** mavila [{{val| 1 0 7 20 }}, {{val| 0 1 -3 -11}}]; |
| | ** hornbostel [{{val| 1 0 7 -16 }}, {{val| 0 1 -3 12}}]; |
| | * [[meantone]] [{{val| 1 0 -4 }}, {{val| 0 1 4}}]; |
| | ** [[dominant (temperament)|dominant]] [{{val| 1 0 -4 6 }}, |