Wikispaces>Andrew_Heathwaite |
|
| (251 intermediate revisions by 26 users not shown) |
| Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | A '''chromatic pair''' is a pair of [[mos scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-11 23:07:29 UTC</tt>.<br>
| |
| : The original revision id was <tt>284859476</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">[[toc|flat]]
| |
| [[media type="custom" key="11052942"]] | |
| ----
| |
|
| |
|
| =Definitions=
| | In the sections below, the pair temperaments are listed in order of increasing [[Tp tuning#T2 tuning|RMS error]], which is an appropriate error measure for subgroups as well as full ''p''-limit groups. |
| By a //chromatic pair// is meant a pair of [[xenharmonic/MOSScales|MOS]] in some rank two temperament (which may often be a [[xenharmonic/Just intonation subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing unweighted rms error with [[xenharmonic/Target tunings|tuning target]] the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.
| |
|
| |
|
| =Terrain= | | == Terrain == |
| Subgroup: 2.9/5.9/7 | | {{See also| Subgroup temperaments #Terrain }} |
| Commas: 250047/250000
| |
| Sval name: 6&21
| |
| Related temperament: [[xenharmonic/Minortonic family#Domain|domain]]
| |
|
| |
|
| [[xenharmonic/POTE generator|POTE generator]]: ~10/9 = 182.462 | | [[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]] |
|
| |
|
| Map: [<3 0 -4|, <0 1 2|]
| | Scales: |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
| | * [[Terrain9]] – 9-tone albitonic scale |
| Error: 0.0443 cents
| | * [[Terrain15]] – 15-tone chromatic scale |
|
| |
|
| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.
| | ; Music |
| | * ''5 5 1 mode of 33 equal'' (2013) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/ blog] | [https://www.youtube.com/watch?v=2gYdUOPHXSQ YouTube] | [https://web.archive.org/web/20201127015117/http://micro.soonlabel.com/33edo/20130827_551of33.mp3 play] |
|
| |
|
| [[image:terrain_3558edo.png]]
| | == Petrtri == |
| | {{See also| Subgroup temperaments #Petrtri }} |
|
| |
|
| [[xenharmonic/terrain9|Nine note albitonic scale]] | | [[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]] |
| [[xenharmonic/terrain15|Fifteen note chromatic scale]]
| |
|
| |
|
| =Petrtri=
| | Scales: |
| Subgroup: 2.11/5.13/5
| | * [[Petrtri5]] – 5-tone haplotonic scale |
| Comma: 2200/2197
| | * [[Petrtri8]] – 8-tone albitonic scale |
| Svalname: 3&5
| | * [[Petrtri13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~13/10 = 455.062
| | == Barton == |
| | {{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}} |
| | {{See also| The Jacobins #Barton }} |
|
| |
|
| Map: [<1 0 1|, <0 3 1|]
| | Scales: |
| EDOs: 21, 29, 211, 240, 269, 298, 327, 356, 385, 741c, 1126c
| | * [[Barton5]] – 5-tone haplotonic scale |
| Error: 0.6258 cents
| | * [[Barton7]] – 7-tone albitonic scale |
| | * [[Barton9]] – 9-tone mega-albitonic scale |
| | * [[Barton11]] – 11-tone chromatic scale |
| | * [[Barton13]] – 13-tone mega-chromatic scale |
|
| |
|
| [[image:petrtri_385edo.png]]
| | == Tridec == |
| | {{See also| Subgroup temperaments #Tridec }} |
|
| |
|
| [[xenharmonic/petrtri5|Five note haplotonic scale]] | | [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] |
| [[xenharmonic/petrtri8|Eight note albitonic scale]]
| |
| [[xenharmonic/petrtri13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Orgone=
| | Scales: |
| Subgroup: 2.7.11
| | * [[Tridec8]] – 8-tone albitonic scale |
| Commas: 65536/65219
| | * [[Tridec13]] – 13-tone chromatic scale |
| Svals: 4&7
| |
|
| |
|
| POTE generator: ~77/64 = 323.372
| | == Nestoria == |
| | {{See also| Schismatic family #Nestoria (2.3.5.19)}} |
|
| |
|
| Map: [<1 2 4|, <0 3, -2|]
| | [[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]] |
| EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308
| |
| Error: 0.7313
| |
|
| |
|
| [[image:orgone_308edo.jpg]] | | Scales: |
| | * [[Nestoria7]] – 7-tone albitonic scale |
| | * [[Nestoria12]] – 12-tone chromatic scale |
| | * [[Nestoria17]] – 17-tone mega chromatic scale |
|
| |
|
| [[xenharmonic/orgone7|Seven note albitonic scale]]
| | == Orgone == |
| [[xenharmonic/orgone11|Eleven note chromatic scale]]
| | {{Main| Orgone }} |
| [[xenharmonic/orgone15|Fifteen note mega chromatic scale]]
| | {{See also| Orgonia #Orgone }} |
|
| |
|
| =Bridgetown=
| | [[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]] |
| Subgroup: 2.3.11/5.13/5
| |
| Commas: 352/351, 676/675
| |
| Sval name: 5&24
| |
| Related temperament: [[xenharmonic/The Archipelago|barabados]]
| |
|
| |
|
| POTE generator: ~15/13 = 248.285
| | Scales: |
| | * [[Orgone7]] – 7-tone albitonic scale |
| | * [[Orgone11]] – 11-tone chromatic scale |
| | * [[Orgone15]] – 15-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 -6 -1|, <0 2 9 3|]
| | == Marveltwintri == |
| EDOs: 5, 9, 14, 19, 24, 29
| | {{See also| Subgroup temperaments #Marveltwintri }} |
| Error: 0.8996 cents
| |
|
| |
|
| [[image:bridgetown_29edo.png]] | | [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] |
|
| |
|
| [[xenharmonic/bridgetown9|Nine note albitonic scale]] | | Scales: |
| [[xenharmonic/bridgetown14|Fourteen note chromatic scale]] | | * [[Marveltwintri7]] – 7-tone albitonic scale |
| | * [[Marveltwintri11]] – 11-tone chromatic scale |
| | * [[Marveltwintri15]] – 15-tone mega-chromatic scale |
|
| |
|
| ==Music== | | == Cata == |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3|Paint in the Water 29]]</span> by [[xenharmonic/Igliashon Jones|Igliashon Jones]]
| | {{Main| Kleismic }} |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]]</span> by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]
| | {{See also| Kleismic family #Kleismic (2.3.5.13) a.k.a. cata }} |
|
| |
|
| =Cata=
| | [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]] |
| Subgroup: 2.3.5.13
| |
| Commas: 325/324, 625/624
| |
| Sval name: 15&19
| |
| Related temperament: [[xenharmonic/Kleismic family|catakleismic]]
| |
|
| |
|
| POTE generator: ~6/5 = 317.076
| | Scales: |
| | * [[Cata7]] – 7-tone albitonic scale |
| | * [[Cata11]] – 11-tone mega-albitonic scale |
| | * [[Cata15]] – 15-tone chromatic scale |
| | * [[Cata19]] – 19-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 1 0|, <0 6 5 14|]
| | == Bridgetown == |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd
| | {{See also| Subgroup temperaments #Bridgetown }} |
| Error: 0.9355 cents
| |
|
| |
|
| [[image:xenharmonic/cata_246edo2.jpg]] | | [[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]] |
| [[xenharmonic/cata7|Seven note albitonic scale]]
| |
| [[xenharmonic/cata11|Eleven note mega albitonic scale]]
| |
| [[xenharmonic/cata15|Fifteen note chromatic scale]]
| |
| [[xenharmonic/cata19|Nineteen note mega chromatic scale]]
| |
|
| |
|
| =Neutraltet=
| | Scales: |
| Subgroup: 2.3.11
| | * [[Bridgetown9]] – 9-tone albitonic scale |
| Commas: 243/242
| | * [[Bridgetown14]] – 14-tone chromatic scale |
| Svalname: 7&17
| |
|
| |
|
| POTE generator: ~11/9 = 350.525
| | ; Music |
| | * [https://web.archive.org/web/20201127014201/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 ''Paint in the Water 29''] (archived 2020) by [[Igliashon Jones]] |
| | * ''Route 14 in Bridgetown'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201127012744/http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 play] – in Bridgetown[14] for flute, bassoons, and contra-bassoon |
|
| |
|
| Map: [<1 1 2|, <0 2 5|]
| | == Haumea == |
| EDOs: 7, 17, 24, 65, 89, 202, 291, 380
| | {{See also| Subgroup temperaments #Haumea }} |
| Error: 1.007
| |
|
| |
|
| [[image:neutraltet_380edo.png]] | | Scales: |
| | * [[Haumea5]] – 5-tone haplotonic scale |
| | * [[Haumea9]] – 9-tone albitonic scale |
| | * [[Haumea14]] – 14-tone chromatic scale |
| | * [[Haumea19]] – 19-tone mega-chromatic scale |
|
| |
|
| [[xenharmonic/neutraltet7|Seven note albitonic scale]]
| | == Neutral == |
| [[xenharmonic/neutraltet10|Ten note chromatic scale]]
| | {{See also| Rastmic clan #Neutral }} |
| [[xenharmonic/neutraltet17|Seventeen note mega chromatic scale]]
| |
|
| |
|
| =Tridec=
| | [[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]] |
| Subgroup: 2.7/5.11/5.13/5
| |
| Commas: 847/845, 1001/1000
| |
| Sval name: 5&8
| |
|
| |
|
| POTE generator: ~13/10 = 454.461
| | Scales: |
| | * [[Neutral7]] – 7-tone albitonic scale |
| | * [[Neutral10]] – 10-tone chromatic scale |
| | * [[Neutral17]] – 17-tone mega-chromatic scale |
|
| |
|
| Map: [<1 2 0 1|, <0 -4 3 1|]
| | ; Music |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c
| | * [https://soundcloud.com/jdfreivald/mo-happy-happy ''Mo - Happy - Happy''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by [[Jake Freivald]] in Neutral[7], 24edo tuning |
| Error: 1.057
| |
|
| |
|
| [[xenharmonic/Tridec8|Eight note albitonic scale]]
| | == Slendric == |
| [[xenharmonic/Tridec13|Thirteen note chromatic scale]]
| | {{Main| Slendric }} |
| | {{See also| Gamelismic clan #Slendric }} |
|
| |
|
| =Pepperoni=
| | [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]] |
| Subgroup: 2.3.11/7.13/7
| |
| Commas: 352/351, 364/363
| |
| Sval name: 5&12
| |
| Related temperament: The [[xenharmonic/Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.
| |
|
| |
|
| POTE generator: ~3/2 = 704.052
| | Scales: |
| | * [[Slendric5]] – 5-tone haplotonic scale |
| | * [[Slendric6]] – 6-tone haplotonic scale |
| | * [[Slendric11]] – 11-tone albitonic scale |
| | * [[Slendric16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 0 7 12|, <0 1 -4 -7|]
| | == Huntington == |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
| | {{See also| No-threes subgroup temperaments #Huntington }} |
| Error: 1.298 cents
| |
|
| |
|
| [[xenharmonic/pepperoni7|Seven note albitonic scale]] | | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
| [[xenharmonic/pepperoni12|Twelve note chromatic scale]]
| |
|
| |
|
| =Slendric=
| | Scales: |
| Subgroup: 2.3.7
| | * [[Huntington7]] – 7-tone haplotonic scale |
| Comma: 1029/1024
| | * [[Huntington10]] – 10-tone albitonic scale |
| Sval name: 5&21
| | * [[Huntington17]] – 17-tone chromatic scale |
|
| |
|
| POTE generator: ~8/7 = 233.688
| | == Tobago == |
| | {{See also| Subgroup temperaments #Tobago }} |
|
| |
|
| Map: [<1 1 3|, <0 3 -1|]
| | Scales: |
| EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
| | * [[Tobago6]] – 6-tone haplotonic scale |
| Error: 1.109 cents
| | * [[Tobago10]] – 10-tone albitonic scale |
| | * [[Tobago14]] – 14-tone chromatic scale |
| | * [[Tobago24]] – 24-tone quatertone scale |
|
| |
|
| [[image:xenharmonic/slendric_190edo.jpg]]
| | == Pepperoni == |
| | {{See also| Parapyth | Subgroup temperaments #Pepperoni }} |
|
| |
|
| [[xenharmonic/slendric5|Five note haplotonic scale]] | | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
| [[xenharmonic/slendric6|Six note haplotonic scale]]
| |
| [[xenharmonic/slendric11|Eleven note albitonic scale]]
| |
| [[xenharmonic/slendric16|Sixteen note chromatic scale]]
| |
|
| |
|
| ==Music==
| | Scales: |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]]</span>
| | * [[Pepperoni7]] – 7-tone albitonic scale |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]]</span>
| | * [[Pepperoni12]] – 12-tone chromatic scale |
| by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]
| |
|
| |
|
| =Marveltwintri= | | == Wizz == |
| Subgroup: 2.5/3.13/9
| | {{See also| No-threes subgroup temperaments #Wizz }} |
| Comma: 325/324
| |
| Svalname: 3&4
| |
|
| |
|
| POTE generator: ~6/5 = 317.755
| | Scales: |
| | * [[Wizz6]] – 6-tone haplotonic scale |
| | * [[Wizz10]] – 10-tone albitonic scale |
| | * [[Wizz16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 0 2|, <0 1 -2|]
| | == Bossier == |
| EDOs: 11, 15, 19, 34, 185, 219, 253, 287b, 321b
| | {{See also| No-threes subgroup temperaments #Bossier }} |
| Error: 1.413 cents
| |
|
| |
|
| [[image:marveltwintri_321edo.png]] | | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
|
| |
|
| [[xenharmonic/marveltwintri7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/marveltwintri11|Eleven note chromatic scale]] | | * [[Bossier8]] – 8-tone albitonic scale |
| [[xenharmonic/marveltwintri15|Fifteen note mega chromatic scale]] | | * [[Bossier11]] – 11-tone chromatic scale |
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
|
| |
|
| =Nestoria= | | == Penta a.k.a. mechanism == |
| Subgroup: 2.3.5.19 | | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
| Commas: 361/360, 513/512
| |
| Sval name: 12&29
| |
| Related temperament: [[xenharmonic/Schismatic family|schismatic]]
| |
|
| |
|
| POTE generator: ~3/2 = 701.746
| | Scales: |
| | * [[Penta5]] – 5-tone haplotonic scale |
| | * [[Penta8]] – 8-tone albitonic scale |
| | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 15 9|, <0 1 -8 -3|]
| | == Bluebirds == |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
| Error: 1.819 cents
| |
|
| |
|
| [[xenharmonic/nestoria7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/nestoria12|Twelve note chromatic scale]] | | * [[Bluebirds6]] – 6-tone haplotonic scale |
| | * [[Bluebirds7]] – 7-tone albitonic scale |
| | * [[Bluebirds13]] – 13-tone chromatic scale |
|
| |
|
| =Marveltri= | | == Marveltri == |
| Subgroup: 2.5.9/7 | | {{See also| Subgroup temperaments #Marveltri }} |
| Comma: 225/224
| |
| Sval name: 3&13
| |
| Related temperaments: marvel, 22&47, magic
| |
|
| |
|
| POTE generator: ~5/4 = 382.618
| | Scales: |
| | * [[Marveltri7]] – 7-tone albitonic scale |
| | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 5|, <0 1 -2|]
| | == Edson == |
| EDOs: 12, 13, 16, 19, 22, 47, 69
| | {{See also| Subgroup temperaments #Edson }} |
| Error: 2.043 cents
| |
|
| |
|
| [[xenharmonic/marveltri7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/marveltri10|Ten note chromatic scale]] | | * [[Edson5]] – 5-tone haplotonic scale |
| [[xenharmonic/marveltri13|Thirteen note mega chromatic scale]] | | * [[Edson7]] – 7-tone albitonic scale |
| | * [[Edson12]] – 12-tone chromatic scale |
| | * [[Edson17]] – 17-tone mega-chromatic scale |
|
| |
|
| =Penta= | | == Photia == |
| Subgroup: 2.9.7.11
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
| Commas: 896/891, 26411/26244
| |
| Svalname: 8&11
| |
|
| |
|
| POTE generator: ~9/7 = 438.465
| | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
|
| |
|
| Map: [<1 0 -1 6|, <0 5 6 -4|]
| | Scales: |
| EDOs: 8, 11, 30, 41, 52
| | * [[Photia7]] – 7-tone albitonic scale |
| Error: 2.260
| | * [[Photia12]] – 12-tone chromatic scale |
|
| |
|
| [[xenharmonic/penta5|Five note haplotonic scale]]
| | == Shoe a.k.a. llywelyn == |
| [[xenharmonic/penta9|Nine note albitonic scale]]
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
| [[xenharmonic/penta13|Thirteen chromatic note scale]]
| |
| [[xenharmonic/penta17|Seventeen note mega chromatic scale]]
| |
|
| |
|
| =Guanyintet=
| | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
| Subgroup: 2.5.7/3.11/3
| |
| Commas: 176/175, 540/539
| |
| Svalname: 4&9
| |
| Related temperaments: guanyin, orwell
| |
|
| |
|
| POTE generator: ~7/6 = 269.619
| | Scales: |
| | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| | * [[Shoe6]] – 6-tone haplotonic scale |
| | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 0 2 -2|, <0 3 -1 5|]
| | == Roulette == |
| EDOs: 9, 31, 40, 49, 89, 227bc, 316bcd
| | {{See also | Hemimean clan #Roulette }} |
| Error: 2.533 cents
| |
|
| |
|
| [[xenharmonic/guanyintet5|Five note haplotonic scale]] | | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
| [[xenharmonic/guanyintet9|Nine note albitonic scale]]
| |
| [[xenharmonic/guanyintet13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Photia=
| | Scales: |
| Subgroup: 2.3.5.17.19
| | * [[Roulette6]] – 6-tone haplotonic scale |
| Commas: 171/170, 256/255, 324/323
| | * [[Roulette7]] – 7-tone albitonic scale |
| Sval name: 12&41
| | * [[Roulette13]] – 13-tone chromatic scale |
| Related temperament: [[xenharmonic/Schismatic family|schismatic]]
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~3/2 = 701.470
| | == Silver == |
| | {{See also | No-threes subgroup temperaments #Silver }} |
|
| |
|
| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
| EDOs: 7, 12, 17, 29, 41, 53, 65
| |
| Error: 3.457 cents
| |
|
| |
|
| [[xenharmonic/photia7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/photia12|Twelve note chromatic scale]] | | * [[Silver7]] – 7-tone haplotonic scale |
| | * [[Silver10]] – 10-tone albitonic scale |
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| =Huntington= | | == Baldy == |
| Subgroup: 2.5.7.13 | | {{See also| Subgroup temperaments #Baldy }} |
| Commas: 640/637, 10985/10976
| |
| Sval name: 10&27
| |
|
| |
|
| POTE generator: ~16/13 = 357.002
| | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
|
| |
|
| Map: [<1 5 4 4|, <0 -9 -4 -1|]
| | Scales |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400
| | * [[Baldy6]] – 6-tone haplotonic scale |
| Error: 2.1001 cents
| | * [[Baldy11]] – 11-tone albitonic scale |
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| [[image:huntington_400edo.jpg]]
| |
|
| |
|
| [[xenharmonic/huntington7|Seven note haplotonic scale]]
| | == Guanyintet == |
| [[xenharmonic/huntington10|Ten note albitonic scale]]
| | {{See also | Subgroup temperaments #Guanyintet }} |
| [[xenharmonic/huntington17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Shoe=
| | Scales: |
| Subgroup: 2.5.7.11.13
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| Commas: 176/175, 640/637, 847/845
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| Sval name: 16&21
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~8/7 = 227.108
| | == Radon == |
| | {{See also| Gamelismic clan #Radon }} |
|
| |
|
| Map: [<1 1 3 1 2|, <0 7 -1 13 9|]
| | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
| EDOs: 16, 21, 37
| |
| Error: 2.488
| |
|
| |
|
| [[image:xenharmonic/shoe_37edo.jpg]] | | * [[Radon5]] – 5-tone haplotonic scale |
| | * [[Radon11]] – 11-tone albitonic scale |
| | * [[Radon16]] – 16-tone chromatic scale |
|
| |
|
| [[xenharmonic/shoe5|shoe5]] - five note mini [[xenharmonic/haplotonic scale|haplotonic scale]]
| | == Gariberttet == |
| [[xenharmonic/shoe6|shoe6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
| | {{See also | Subgroup temperaments #Gariberttet }} |
| [[xenharmonic/shoe11|shoe11]] - eleven note note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Roulette=
| | Scales: |
| Subgroup: 2.5.7.11.13
| | * [[Gariberttet5]] – 5-tone haplotonic scale |
| Commas: 176/175, 1375/1372, 640/637
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| Sval name: 6&25
| | * [[Gariberttet13]] – 13-tone chromatic scale |
| Related temperament: [[xenharmonic/Wuerschmidt family|Hemiwuerschmidt]]
| |
|
| |
|
| POTE generator: ~28/25 = 194.594
| | == Namo == |
| | {{See also| Rastmic clan #Namo }} |
|
| |
|
| Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|]
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 31, 37
| | * [[Namo7]] – 7-tone haplotonic scale |
| Error: 2.555 cents
| | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| [[image:xenharmonic/roulette_37edo.jpg]]
| | == Sentry == |
| | {{See also | Subgroup temperaments #Sentry }} |
|
| |
|
| [[xenharmonic/roulette6|roulette6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]] | | Scales: |
| [[xenharmonic/roulette7|roulette7]] - seven note [[xenharmonic/albitonic scale|albitonic scale]] | | * [[Sentry5]] – 5-tone haplotonic scale |
| [[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]] | | * [[Sentry8]] – 8-tone albitonic scale |
| [[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| =Garibaldi= | | == Hemif == |
| Group: 2.3.5.7
| | {{See also| No-fives subgroup temperaments #Hemif }} |
| Commas: 225/224, 3125/3087
| |
| Val name: 12&29
| |
|
| |
|
| POTE generator: ~3/2 = 702.085
| | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
|
| |
|
| Map: [<1 0 15 25|, <0 1 -8 -14|]
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 94
| | * [[Hemif7]] – 7-tone haplotonic scale |
| Error: 2.834
| | * [[Hemif10]] – 10-tone albitonic scale |
| | * [[Hemif17]] – 17-tone chromatic scale |
|
| |
|
| [[xenharmonic/garibaldi12|Twelve note albitonic scale]]
| | == Garibaldi == |
| [[xenharmonic/garibaldi17|Seventeen note chromatic scale]]
| | {{Main| Garibaldi }} |
| | {{See also| Schismatic family #Garibaldi }} |
|
| |
|
| =Baldy=
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
| Subgroup: 2.9.5.7.13
| |
| Commas: 225/224, 325/324, 640/637
| |
| Sval name: 6&35
| |
| Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]
| |
|
| |
|
| POTE generator: ~9/8 = 204.090
| | Scales: |
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| | * [[Garibaldi17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|]
| | == Mabilic == |
| EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]]
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
| Error: 2.617 cents
| |
|
| |
|
| [[image:baldy_147edo.jpg]] | | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
|
| |
|
| [[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]] | | Scales: |
| [[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]] | | * [[Mabilic7]] – 7-tone haplotonic scale |
| [[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]] | | * [[Mabilic9]] – 9-tone albitonic scale |
| | * [[Mabilic16]] – 16-tone chromatic scale |
|
| |
|
| =Bossier= | | == Indium == |
| Subgroup: 2.7.11.13 | | {{See also | Subgroup temperaments #Indium }} |
| Commas: 1573/1569, 15488/15379
| |
| Sval name: 3&17
| |
|
| |
|
| POTE generator: ~14/11 = 421.309
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
|
| |
|
| Map: [<1 0 1 3|, <0 8 7 2|]
| | Scales: |
| EDOs: 17, 20, 37, 57, 94, 225
| | * [[Indium8]] – 8-tone albitonic scale |
| Error: 2.665 cents
| | * [[Indium17]] – 17-tone chromatic scale |
|
| |
|
| [[image:bossier_225edo.jpg]] | | ; Music |
| | * ''The Cry of Indium'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/the-cry-of-indium/ blog] | [https://web.archive.org/web/20201127012551/http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 play] – in Indium[17] |
|
| |
|
| [[xenharmonic/bossier8|Eight note albitonic scale]]
| | == Starlingtet == |
| [[xenharmonic/bossier11|Eleven note chromatic scale]]
| | {{See also | Subgroup temperaments #Starlingtet }} |
| [[xenharmonic/bossier14|Fourteen note mega chromatic scale]]
| |
|
| |
|
| =Radon=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| Commas: 896/891, 1029/1024
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| Sval name: 5&36
| | * [[Starlingtet11]] – 11-tone chromatic scale |
| Related temperament: [[xenharmonic/Gamelismic clan|Rodan]]
| |
|
| |
|
| POTE generator: ~8/7 = 234.381
| | == Lovecraft == |
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
|
| |
|
| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
| EDOs: 5, 36, 41, 87, 128
| |
| Error: 2.925 cents
| |
|
| |
|
| [[image:radon_128edo.jpg]] | | Scales: |
| | * [[Lovecraft5]] – 5-tone haplotonic scale |
| | * [[Lovecraft9]] – 9-tone albitonic scale |
| | * [[Lovecraft13]] – 13-tone chromatic scale |
|
| |
|
| [[xenharmonic/radon5|Five note haplotonic scale]]
| | == Blackbirds == |
| [[xenharmonic/radon11|Eleven note albitonic scale]]
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| [[xenharmonic/radon16|Sixteen note chromatic scale]]
| |
|
| |
|
| =Myna=
| | Scales: |
| Group: 2.3.5.7
| | * [[Blackbirds8]] – 8-tone albitonic scale |
| Commas: 126/125, 1728/1715
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| Val name: 4&27
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~6/5 = 310.146
| | == Laz == |
| | {{See also | Subgroup temperaments #Laz }} |
|
| |
|
| Map: [<1 9 9 8|, <0 -10 -9 -7|]
| | Scales: |
| EDOs: 4, 27, 31, 58, 89
| | * [[Laz5]] – 5-tone haplotonic scale |
| Error: 3.310 cents
| | * [[Laz9]] – 9-tone albitonic scale |
| | * [[Laz13]] – 13-tone chromatic scale |
|
| |
|
| [[image:myna_89edo.jpg]]
| | == Myna == |
| | {{Main| Myna }} |
| | {{See also| Starling temperaments #Myna }} |
|
| |
|
| [[xenharmonic/myna7|Seven note haplotonic scale]] | | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| [[xenharmonic/myna11|Eleven note albitonic scale]]
| |
| [[xenharmonic/myna15|Fifteen note chromatic scale]]
| |
|
| |
|
| =Silver=
| | Scales: |
| Subgroup: 2.5.7.13.17
| | * [[Myna7]] – 7-tone haplotonic scale |
| Commas: 170/169, 640/637, 5525/5488
| | * [[Myna11]] – 11-tone albitonic scale |
| Sval name: 10&27
| | * [[Myna15]] – 15-tone chromatic scale |
|
| |
|
| POTE generator: ~13/8 = 842.711
| | == Greeley == |
| | {{See also| Subgroup temperaments #Greeley }} |
|
| |
|
| Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]
| | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, [[xenharmonic/487edo|487]]
| |
| Error: 3.437
| |
|
| |
|
| [[image:silver_487edo.jpg]] | | Scales: |
| | * [[Greeley8]] – 8-tone albitonic scale |
| | * [[Greeley15]] – 15-tone chromatic scale |
|
| |
|
| [[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]] | | ; Music |
| [[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]]
| | * ''A Greeley Steals Halloween'' by [[Chris Vaisvil]] (2011) – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201201174756/http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 play] – in Greeley[15] |
| [[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]] | |
|
| |
|
| =Mabila= | | == Ammon == |
| Subgroup: 2.5.7 | | {{See also| Subgroup temperaments #Ammon }} |
| Comma: 1071875/1048576
| |
| Sval name: 7&9
| |
|
| |
|
| POTE generator: ~175/128 = 527.236
| | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
|
| |
|
| Map: [<1 1 5|, <0 3 -5|]
| | Scales: |
| EDOs: 7, 9, 16, 25, 41, 66
| | * [[Ammon8]] – 8-tone albitonic scale |
| Error: 3.560
| | * [[Ammon13]] – 13-tone chromatic scale |
|
| |
|
| [[image:mabila_66edo.jpg]]
| | == Mothwelltri == |
| | {{See also| Subgroup temperaments #Mothwelltri }} |
|
| |
|
| [[xenharmonic/mabila7|Seven note haplotonic scale]] | | Scales: |
| [[xenharmonic/mabila9|Nine note albitonic scale]] | | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| [[xenharmonic/mabila16|Sixteen note chromatic scale]] | | * [[Mothwelltri9]] – 9-tone albitonic scale |
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
|
| |
|
| =Meantone= | | == Sulis == |
| Group: 2.3.5.7
| | {{See also| Subgroup temperaments #Sulis }} |
| Commas: 81/80, 126/125
| |
| Val name: 12&19
| |
|
| |
|
| POTE generator: 696.495
| | Scales: |
| | * [[Sulis7]] – 7-tone haplotonic scale |
| | * [[Sulis10]] – 10-tone albitonic scale |
| | * [[Sulis13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 0 -4 -13|, <0 1 4 10|]
| | == Skwares == |
| EDOs: 5, 7, 12, 19, 31, 81, 112, 143
| | {{Main| Squares }} |
| Error: 3.585
| | {{See also| No-fives subgroup temperaments #Skwares }} |
|
| |
|
| [[image:meantone_31edo.jpg]] | | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
|
| |
|
| [[xenharmonic/meantone5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/meantone7|Seven note albitonic scale]] | | * [[Skwares8]] – 8-tone albitonic scale |
| [[xenharmonic/meantone12|Twelve note chromatic scale]] | | * [[Skwares11]] – 11-tone mega-albitonic scale |
| | * [[Skwares14]] – 14-tone chromatic scale |
|
| |
|
| =Starlingtet= | | == Orwell == |
| Group: 2.5/3.7/3
| | {{Main| Orwell }} |
| Comma: 126/125
| | {{See also| Semicomma family #Orwell }} |
| Svalname: 4&15
| |
| Related temperaments: starling; becomes myna
| |
| POTE generator: ~6/5 = 311.213
| |
|
| |
|
| Map: [<1 0 -1|, <0 1 3|]
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b
| |
| Error: 311.213
| |
|
| |
|
| [[xenharmonic/starlingtet4|Four note haplotonic scale]] | | Scales: |
| [[xenharmonic/starlingtet7|Seven note albitonic scale]] | | * [[Orwell5]] – 5-tone haplotonic scale |
| [[xenharmonic/starlingtet11|Eleven note chromatic scale]] | | * [[Orwell9]] – 9-tone albitonic scale |
| | * [[Orwell13]] – 13-tone chromatic scale |
|
| |
|
| =Indium= | | == Magicaltet == |
| Subgroup: 2.5/3.7/3.11/3 | | {{See also| Subgroup temperaments #Magicaltet }} |
| Commas: 3025/3024, 3125/3087
| |
| Sval name: 8&33
| |
|
| |
|
| POTE generator: ~12/11 = 147.159
| | Scales: |
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 0 2|, <0 6 10 -1|]
| | == Magic == |
| EDOs: 33, 41, 49, 57, 106, 204, 253
| | {{Main| Magic }} |
| Error: 3.968 cents
| | {{See also| Magic family #Magic }} |
|
| |
|
| [[xenharmonic/indium8|Eight note albitonic scale]] | | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| [[xenharmonic/indium17|Seventeen note chromatic scale]]
| |
|
| |
|
| Music
| | Scales: |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3|The Cry of Indium]]</span> (in Indium 17) by [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] => [[@http://chrisvaisvil.com/?p=1532|details]]
| | * [[Magic7]] – 7-tone haplotonic scale |
| | * [[Magic10]] – 10-tone albitonic scale |
| | * [[Magic13]] – 13-tone chromatic scale |
| | * [[Magic16]] – 16-tone mega-chromatic scale |
| | * [[Magic19]] – 19-tone mega-chromatic scale |
|
| |
|
| =Magic= | | == Kiribati == |
| Group: 2.3.5.7.11
| | {{See also| Subgroup temperaments #Kiribati }} |
| Commas: 100/99, 225/224, 245/243
| |
| Val name: 19&22
| |
|
| |
|
| POTE generator: ~5/4 = 380.696
| | Scales: |
| | * [[Kiribati13]] – 13-tone chromatic scale |
| | * [[Kiribati14]] – 14-tone chromatic scale |
|
| |
|
| Map: [<1 0 2 -1 6|, <0 5 1 12 -8|]
| | == Score == |
| EDOs: 19, 22, 41, 104, 145
| | {{See also| No-threes subgroup temperaments #Score }} |
| Error: 4.489
| |
|
| |
|
| [[image:xenharmonic/magic_145edo.jpg]] | | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
|
| |
|
| [[xenharmonic/magic7|Seven note haplotonic scale]] | | Scales: |
| [[xenharmonic/magic10|Ten note albitonic scale]] | | * [[Score5]] – 5-tone haplotonic scale |
| [[xenharmonic/magic13|Thirteen note chromatic scale]] | | * [[Score7]] – 7-tone albitonic scale |
| [[xenharmonic/magic16|Sixteen note mega chromatic scale]] | | * [[Score9]] – 9-tone mega-albitonic scale |
| | * [[Score11]] – 11-tone chromatic scale |
|
| |
|
| =Gariberttet= | | == Sensi == |
| Subgroup: 2.5/3.7/3.13/11
| | {{Main| Sensi }} |
| Commas: 275/273, 847/845
| | {{See also| Sensipent family #Sensi }} |
| Svalname: 4&29
| |
|
| |
|
| POTE generator: ~13/11 = 292.418
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
|
| |
|
| Map: [<1 0 0 0|, <0 3 5 1|]
| | Scales: |
| EDOs: 29, 33, 37, 41, 78
| | * [[Sensi5]] – 5-tone haplotonic scale |
| Error: 4.473
| | * [[Sensi8]] – 8-tone albitonic scale |
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| | * [[Sensi19]] – 19-tone chromatic scale |
|
| |
|
| [[xenharmonic/gariberttet5|Five note haplotonic scale]]
| | === Sensation === |
| [[xenharmonic/gariberttet9|Nine note albitonic scale]]
| | {{Main| Sensi }} |
| [[xenharmonic/gariberttet13|Thirteen note chromatic scale]]
| | {{See also| Sensipent family #Sensi }} |
|
| |
|
| =Hemif=
| | Scales: |
| Subgroup: 2.3.7.11.13
| | * [[Sensi5]] – 5-tone haplotonic scale |
| Commas: 144/143, 243/242, 364/363
| | * [[Sensi8]] – 8-tone albitonic scale |
| Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]]
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| | * [[Sensi19]] – 19-tone chromatic scale |
|
| |
|
| POTE generator: ~11/9 = 351.691
| | == Meantone == |
| | {{Main| Meantone }} |
| | {{See also| Meantone family #Meantone }} |
|
| |
|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| EDOs: 7, 10, 17, 24, 41, 58
| |
| Error: 4.867 cents
| |
|
| |
|
| [[image:hemif_58edo.jpg]] | | Scales: |
| | * [[Meantone5]] – 5-tone haplotonic scale |
| | * [[Meantone7]] – 7-tone albitonic scale |
| | * [[Meantone12]] – 12-tone chromatic scale |
|
| |
|
| [[xenharmonic/hemif7|Seven note haplotonic scale]]
| | == Mohaha == |
| [[xenharmonic/hemif10|Ten note albitonic scale]]
| | {{See also| Rastmic clan #Mohaha }} |
| [[xenharmonic/hemif17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Skwares=
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| Subgroup: 2.3.7.11
| |
| Commas: 99/98, 243/242
| |
| Related temperament: [[xenharmonic/Meantone family|squares]]
| |
|
| |
|
| POTE generator: ~9/7 = 425.244
| | Scales: |
| | * [[Mohaha7]] – 7-tone albitonic scale |
| | * [[Mohaha10]] – 10-tone chromatic scale |
|
| |
|
| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | Music: |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| | ; [[Billy Stiltner]] |
| Error: 4.942 cents
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
|
| |
|
| [[image:skwares_206edo.png]]
| | === Mohoho === |
| | {{See also| Rastmic clan #Mohoho }} |
|
| |
|
| [[xenharmonic/skwares8|Eight note albitonic scale]]
| | == Joan == |
| [[xenharmonic/skwares11|Eleven note mega albitonic scale]]
| | {{See also| Subgroup temperaments #Joan }} |
| [[xenharmonic/skwares14|Fourteen note chromatic scale]]
| |
|
| |
|
| =Sensi=
| | Scales: |
| Group: 2.3.5.7
| | * [[Joan5]] – 5-tone haplotonic scale |
| Commas: 126/126, 245/243
| | * [[Joan7]] – 7-tone albitonic scale |
| Val name: 19&27
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| | * [[Joan11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~9/7 = 443.383
| | == Tutone == |
| | {{See also| Hemimean clan #Tutone }} |
|
| |
|
| Map: [<1 6 8 11|, <0 -7 -9 -13|]
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| EDOs: 5, 8, 11, 19, 27, 46
| |
| Error: 5.019
| |
|
| |
|
| [[image:xenharmonic/sensi_46edo.jpg]] | | Scales: |
| | * [[Tutone6]] – 6-tone haplotonic scale |
| | * [[Tutone7]] – 7-tone albitonic scale |
| | * [[Tutone13]] – 13-tone chromatic scale |
|
| |
|
| [[xenharmonic/sensi5|Five note haplotonic scale]]
| | == Stacks == |
| [[xenharmonic/sensi8|Eight note albitonic scale]]
| | {{See also| Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| [[xenharmonic/sensi11|Eleven note mega albitonic scale]]
| |
| [[xenharmonic/sensi19|Nineteen note chromatic scale]]
| |
|
| |
|
| =Greeley=
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3
| | * [[Stacks5]] – 5-tone haplotonic scale |
| Commas: 121/120, 126/125
| | * [[Stacks8]] – 8-tone albitonic scale |
| | * [[Stacks11]] – 11-tone chromatic scale |
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | == Bleu == |
| | {{See also| No-fives subgroup temperaments #Bleu }} |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | Scales: |
| EDOs: 8, 15, 23, 77, 100
| | * [[Bleu8]] – 8-tone haplotonic scale |
| Error: 5.404 cents
| | * [[Bleu9]] – 9-tone albitonic scale |
| | * [[Bleu17]] – 17-tone chromatic scale |
|
| |
|
| [[xenharmonic/greeley8|Eight note albitonic scale]]
| | == Sephiroth == |
| [[xenharmonic/greeley15|Fifteen note chromatic scale]]
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
|
| |
|
| ==Music==
| | Scales: |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover">[[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]]</span> by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
|
| |
|
| =Semidim= | | == Archy == |
| Subgroup: 2.5/3.7/3.11/3.13/3
| | {{Main| Superpyth }} |
| Commas: 121/120, 169/168, 275/273
| | {{See also| Archytas clan #Archy }} |
| Sval name: 8&29
| |
|
| |
|
| POTE generator: ~13/10 = 453.190
| | Scales: |
| | * [[Archy5]] – 5-tone haplotonic scale |
| | * [[Archy7]] – 7-tone albitonic scale |
| | * [[Archy12]] – 12-tone chromatic scale |
|
| |
|
| Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
| | === Supra === |
| EDOs: 5, 8, 13, 21, 29, 37, 45
| | {{Main| Quasisuper }} |
| Error: 5.433 cents
| | {{See also| Archytas clan #Supra }} |
|
| |
|
| [[xenharmonic/semidim8|Eight note albitonic scale]] | | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| [[xenharmonic/semidim13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Orwell=
| | Scales: |
| Group: 2.3.5.7.11
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| Commas: 99/98, 121/120, 176/175
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
| Val name: 9&22
| |
|
| |
|
| POTE generator: ~7/6 = 271.426
| | === Supraphon === |
| | {{Main| Quasisuper }} |
| | {{See also| Archytas clan #Supraphon }} |
|
| |
|
| Map: [<1 0 3 1 3|, <0 7 -3 8 2|]
| | == Suhajira == |
| EDOs: 9, 22, 31, 53, 84
| | {{See also| Archytas clan #Suhajira }} |
| Error: 5.584
| |
|
| |
|
| [[image:xenharmonic/orwell_84edo.png]] | | Scales: |
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| | * [[Suhajira10]] – 10-tone albitonic scale |
| | * [[Suhajira17]] – 17-tone chromatic scale |
|
| |
|
| [[xenharmonic/orwell5|Five note haplotonic scale]]
| | == Machine == |
| [[xenharmonic/orwell9|Nine note albitonic scale]]
| | {{See also| Subgroup temperaments #Machine }} |
| [[xenharmonic/orwell13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Magicaltet=
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| Group: 2.5/3.7.11
| |
| Commas: 100/99, 385/384
| |
| Related temperaments: 4&7&15, magic
| |
|
| |
|
| POTE generator: ~6/5 = 319.424
| | Scales: |
| | * [[Machine5]] – 5-tone haplotonic scale |
| | * [[Machine6]] – 6-tone albitonic scale |
| | * [[Machine11]] – 11-tone chromatic scale |
|
| |
|
| Map: [<1 0 5 2|, <0 1 -3 2|]
| | == Deutone == |
| EDOs: 11, 15, 79cd, 94cd, 109cd, 124cd, 139cd
| | {{See also| Hemimean clan #Deutone }} |
| Error: 5.720 cents
| |
|
| |
|
| [[xenharmonic/magicaltet7|Seven note albitonic scale]] | | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
| [[xenharmonic/magicaltet11|Eleven note chromatic scale]]
| |
| [[xenharmonic/magicaltet15|Fifteen note mega scale]]
| |
|
| |
|
| =Sentry=
| | Scales: |
| Group: 2.5/3.9/7
| | * [[Deutone6]] – 6-tone haplotonic scale |
| Commas: 245/243
| | * [[Deutone7]] – 7-tone albitonic scale |
| Svalname: 3&5
| | * [[Deutone13]] – 13-tone chromatic scale |
| Related temperaments: sensi
| |
|
| |
|
| POTE generator: ~9/7 = 438.574
| | == Negra == |
| | {{Main| Negri }} |
| | {{See also| Semaphoresmic clan #Negri }} |
|
| |
|
| Map: [<1 0 0|, <0 2 1|]
| | == Porkypine == |
| EDOs: 8, 11, 30, 41, 52, 145b, 197bc
| | {{Main| Porcupine }} |
| Error: 5.793 cents
| | {{See also| Porcupine family #Porcupine }} |
|
| |
|
| [[xenharmonic/sentry5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/sentry8|Eight note albitonic scale]] | | * [[Porkypine7]] – 7-tone haplotonic scale |
| [[xenharmonic/sentry11|Eleven note note chromatic scale]] | | * [[Porkypine8]] – 8-tone albitonic scale |
| | * [[Porkypine15]] – 15-tone chromatic scale |
|
| |
|
| =Mothwelltri= | | == Skateboard == |
| Group: 2.7/3.11
| | {{See also| Subgroup temperaments #Skateboard }} |
| Comma: 99/98
| |
| Svalname: 1&4
| |
| Related temperament: Orwell
| |
|
| |
|
| POTE generator:~7/6 = 268.508
| | Scales: |
| | * [[Skateboard7]] – 7-tone haplotonic scale |
| | * [[Skateboard11]] – 11-tone albitonic scale |
| | * [[Skateboard15]] – 15-tone chromatic scale |
|
| |
|
| Map: [<1 0 1|, <0 1 2|]
| | == Augment == |
| EDOs: 9, 40, 49c, 58c, 67c, 76c
| | {{See also| No-threes subgroup temperaments #Augment }} |
| Error: 6.119 cents
| |
|
| |
|
| [[xenharmonic/mothwelltri5|Five note haplotonic scale]] | | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
| [[xenharmonic/mothwelltri9|Nine note albitonic scale]]
| |
| [[xenharmonic/mothwelltri13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Lovecraft=
| | Scales: |
| Group: 2.11.13
| | * [[Augment6]] – 6-tone haplotonic scale |
| | * [[Augment9]] – 9-tone albitonic scale |
| | * [[Augment12]] – 12-tone chromatic scale |
|
| |
|
| POTE generator: ~13/11 = 279.318
| | == Semaphore == |
| | {{Main| Semaphore and godzilla }} |
| | {{See also| Semaphoresmic clan #Semaphore }} |
|
| |
|
| Map: [<1 1 0|, <0 2 3|]
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
| EDOS: 13, 30, 43, 73, 116b
| |
| Error: 6.026 cents
| |
|
| |
|
| [[image:lovecraft_116edo.png]] | | Scales: |
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| | * [[Semaphore9]] – 9-tone albitonic scale |
| | * [[Semaphore14]] – 14-tone chromatic scale |
|
| |
|
| [[xenharmonic/lovecraft5|Five note haplotonic scale]]
| | == Kryptonite == |
| [[xenharmonic/lovecraft9|Nine note albitonic scale]]
| | {{See also| Subgroup temperaments #Kryptonite }} |
| [[xenharmonic/lovecraft13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Bleu=
| | Scales: |
| Group: 2.3.7.11.13
| | * [[Kryptonite9]] – 9-tone albitonic scale |
| Commas: 78/77, 99/98, 144/143
| | * [[Kryptonite10]] – 10-tone albitonic scale |
| Sval name: 9&17
| | * [[Kryptonite19]] – 19-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~13/12 = 139.990
| | == Oregon == |
| | {{See also| Orgonia #Oregon }} |
|
| |
|
| Map: [<1 1 2 3 3|, <0 5 7 4 6|]
| | Scales: |
| EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
| | * [[Oregon7]] – 7-tone haplotonic scale |
| Error: 6.361 cents
| | * [[Oregon11]] – 11-tone albitonic scale |
| | * [[Oregon15]] – 15-tone chromatic scale |
|
| |
|
| [[image:blue_60edo.png]]
| | == Antikythera == |
| | {{See also| Jubilismic clan #Antikythera }} |
|
| |
|
| [[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]] | | [[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]] |
| [[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Mohaha=
| | Scales: |
| Subgroup: 2.3.5.11
| | * [[Antikythera6]] – 6-tone haplotonic scale |
| Commas: 81/80, 121/120
| | * [[Antikythera10]] – 10-tone albitonic scale |
| Related temperament: [[xenharmonic/Meantone family|mohajira]]
| | * [[Antikythera16]] – 16-tone chromatic scale |
|
| |
|
| POTE generator: ~11/9 = 348.094
| | == Glacial == |
| | {{See also| Subgroup temperaments #Glacial }} |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | Scales: |
| EDOs: 24, 31, 69d, 100d, 131bd
| | * [[Glacial6]] – 6-tone haplotonic scale |
| Error: 6.733 cents
| | * [[Glacial7]] – 7-tone albitonic scale |
| | * [[Glacial13]] – 13-tone chromatic scale |
|
| |
|
| [[xenharmonic/mohaha7|Seven note albitonic scale]]
| | == Leantone == |
| [[xenharmonic/mohaha10|Ten note chromatic scale]]
| | {{See also| Hemimean clan #Leantone }} |
|
| |
|
| ==Mohoho==
| | [[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]] |
| Subgroup: 2.3.5.11.13
| |
| Commas: 66/65, 81/80, 121/120
| |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | Scales: |
| | * [[Leantone6]] – 6-tone haplotonic scale |
| | * [[Leantone7]] – 7-tone albitonic scale |
| | * [[Leantone13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | {{Navbox scale gallery}} |
| EDOs: 17c, 24, 31, 55, 86de, 141cde
| | [[Category:Tempered scales|*]] |
| Error: 9.556 cents
| | [[Category:Listen]] |
| | | [[Category:Rank 2]] |
| =Stacks=
| | {{Todo| cleanup }} |
| Subgroup: 2.9.15.7.11.13
| |
| Commas: 100/99, 105/104, 144/143, 196/195
| |
| Svalname: 11&30
| |
| | |
| POTE generator: ~9/7 = 438.977
| |
| | |
| Map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|]
| |
| EDOs: 11, 30, 41
| |
| Error: 6.947 cents
| |
| | |
| [[xenharmonic/stacks5|Five note haplotonic scale]]
| |
| [[xenharmonic/stacks8|Eight note albitonic scale]]
| |
| [[xenharmonic/stacks11|Eleven note note chromatic scale]]
| |
| [[xenharmonic/stacks19|Nineteen note note mega chromatic scale]]
| |
| | |
| =Tutone=
| |
| Subgroup: 2.9.5.7.11
| |
| Commas: 81/80, 99/98, 126/125
| |
| Related temperament: [[xenharmonic/Meantone family|meantone]]
| |
| | |
| POTE generator: ~9/8 = 193.937
| |
| | |
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| |
| EDOs: 25, 31, 68b, 99b
| |
| Error: 7.047 cents
| |
| | |
| [[xenharmonic/tutone6|Six note haplotonic scale]]
| |
| [[xenharmonic/tutone7|Seven note albitonic scale]]
| |
| [[xenharmonic/tutone13|Thirteen note chromatic scale]]
| |
| | |
| [[image:tutone_99edo.png]]
| |
| | |
| =Leantone=
| |
| Subgroup: 2.9.5.7.11
| |
| Commas: 45/44, 56/55, 81/80
| |
| Related temperament: [[meanenneadecal]]
| |
| | |
| POTE generator: ~9/8 = 192.500
| |
| | |
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| |
| Error: 20.338 cents
| |
| | |
| [[image:leantone_81edo.png]]
| |
| | |
| [[xenharmonic/leantone6|Six note haplotonic scale]]
| |
| [[xenharmonic/leantone7|Seven note albitonic scale]]
| |
| [[xenharmonic/leantone13|Thirteen note chromatic scale]]
| |
| | |
| =Score=
| |
| Subgroup: 2.7.11.13
| |
| Commas: 343/338, 847/832
| |
| | |
| POTE generator: ~11/8 = 540.099
| |
| | |
| Map: [<1 1 3 1|, <0 4 1 6|]
| |
| EDOs: 5, 7, 9, 11, 20
| |
| Error: 8.052 cents
| |
| | |
| [[image:xenharmonic/score_20edo.jpg]]
| |
| | |
| [[xenharmonic/score5|Five note haplotonic scale]]
| |
| [[xenharmonic/score7|Seven note albitonic scale]]
| |
| [[xenharmonic/score9|Nine note mega albitonic scale]]
| |
| [[xenharmonic/score11|Eleven note chromatic scale]]
| |
| | |
| =Supra=
| |
| Subgroup: 2.3.7.11
| |
| Commas: 64/63, 99/98
| |
| Related temperament: [[xenharmonic/suprapyth|suprapyth]]
| |
| | |
| POTE generator: ~3/2 = 707.192
| |
| | |
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| |
| EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c
| |
| Error: 9.795 cents
| |
| | |
| [[xenharmonic/supra7|Seven note albitonic scale]]
| |
| [[xenharmonic/supra12|Twelve note chromatic scale]]
| |
| | |
| ==Supraphon==
| |
| Subgroup: 2.3.7.11.13
| |
| Commas: 64/63, 78/77, 99/98
| |
| | |
| POTE generator: ~3/2 = 706.137
| |
| | |
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| |
| EDOs: 5, 7, 12, 17
| |
| Error: 10.534 cents
| |
| | |
| ==Machine==
| |
| Subgroup: 2.9.7.11
| |
| Commas: 64/63, 99/98
| |
| | |
| POTE generator: ~9/8 = 214.384
| |
| | |
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| |
| EDOs: 5, 6, 11, 17, 28
| |
| Error: 10.100 cents
| |
| | |
| [[image:machine_28edo.png]]
| |
| | |
| [[xenharmonic/machine5|Five note haplotonic scale]]
| |
| [[xenharmonic/machine6|Six note albitonic scale]]
| |
| [[xenharmonic/machine11|Eleven note chromatic scale]]
| |
| | |
| =Antikythera=
| |
| Subgroup: 2.9.5.7
| |
| Commas: 50/49, 64/63
| |
| Related temperament: [[xenharmonic/pajara|pajara]]
| |
| | |
| POTE generator: ~8/7 = 214.095
| |
| | |
| Map: [<2 0 11 12|, <0 1 -1 -1|]
| |
| EDOS: 4, 6, 10, 16, 22, 28
| |
| Error: 11.508 cents
| |
| | |
| [[image:antikythera_28edo.png]]
| |
| | |
| [[xenharmonic/antikythera6|Six note haplotonic scale]]
| |
| [[xenharmonic/antikythera10|Ten note albitonic scale]]
| |
| [[xenharmonic/antikythera16|Sixteen note chromatic scale]]
| |
| | |
| =Deutone=
| |
| Subgroup: 2.9.5.7.13
| |
| Commas: 65/64, 81/80, 91/90
| |
| Related temperament: [[xenharmonic/Meantone family|meanpop]]
| |
| | |
| POTE generator: ~9/8 = 191.059
| |
| | |
| Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|]
| |
| EDOs: 6, 7, 13, 19, 25, 44, 69
| |
| Error: 12.145 cents
| |
| | |
| [[image:deutone_44edo.png]]
| |
| | |
| [[xenharmonic/deutone6|Six note haplotonic scale]]
| |
| [[xenharmonic/deutone7|seven note albitonic scale]]
| |
| [[xenharmonic/deutone13|Thirteen note chromatic scale]]
| |
| | |
| =Semiphore=
| |
| Subgroup: 2.3.7
| |
| Comma: 49/48
| |
| | |
| POTE generator: ~7/6 = 250.385
| |
| | |
| Map: [<1 0 2|, <0 2 1|]
| |
| EDOs: 5, 9, 14, 19, 24
| |
| Error: 12.428
| |
| | |
| [[image:semiphore_24edo.png]]
| |
| | |
| [[xenharmonic/semiphore5|Five note haplotonic scale]]
| |
| [[xenharmonic/semiphore9|Nine note albitonic scale]]
| |
| [[xenharmonic/semiphore14|Fourteen note chromatic scale]]
| |
| | |
| =Augment=
| |
| Subgroup: 2.5.7.11
| |
| Commas: 56/55, 128/125
| |
| Related temperament: [[xenharmonic/Augmented family|augmented]]
| |
| | |
| POTE generator: ~8/7 = 228.275
| |
| | |
| Map: [<3 7 0 2|, <0 0 1 1|]
| |
| EDOs: 3, 6, 9, 15, 21
| |
| Error: 12.830 cents
| |
| | |
| [[image:augment_21edo.png]]
| |
| | |
| [[xenharmonic/augment6|Six note haplotonic scale]]
| |
| [[xenharmonic/augment9|Nine note albitonic scale]]
| |
| [[xenharmonic/augment12|Twelve note chromatic scale]]</pre></div> | |
| <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Chromatic pairs</title></head><body><!-- ws:start:WikiTextTocRule:117:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:117 --><!-- ws:start:WikiTextTocRule:118: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:118 --><!-- ws:start:WikiTextTocRule:119: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:119 --><!-- ws:start:WikiTextTocRule:120: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:120 --><!-- ws:start:WikiTextTocRule:121: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:121 --><!-- ws:start:WikiTextTocRule:122: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:122 --><!-- ws:start:WikiTextTocRule:123: --><!-- ws:end:WikiTextTocRule:123 --><!-- ws:start:WikiTextTocRule:124: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:124 --><!-- ws:start:WikiTextTocRule:125: --> | <a href="#Neutraltet">Neutraltet</a><!-- ws:end:WikiTextTocRule:125 --><!-- ws:start:WikiTextTocRule:126: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:126 --><!-- ws:start:WikiTextTocRule:127: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:127 --><!-- ws:start:WikiTextTocRule:128: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:128 --><!-- ws:start:WikiTextTocRule:129: --><!-- ws:end:WikiTextTocRule:129 --><!-- ws:start:WikiTextTocRule:130: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:130 --><!-- ws:start:WikiTextTocRule:131: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:131 --><!-- ws:start:WikiTextTocRule:132: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:132 --><!-- ws:start:WikiTextTocRule:133: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:133 --><!-- ws:start:WikiTextTocRule:134: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:134 --><!-- ws:start:WikiTextTocRule:135: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:135 --><!-- ws:start:WikiTextTocRule:136: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:136 --><!-- ws:start:WikiTextTocRule:137: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:137 --><!-- ws:start:WikiTextTocRule:138: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:138 --><!-- ws:start:WikiTextTocRule:139: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:139 --><!-- ws:start:WikiTextTocRule:140: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:140 --><!-- ws:start:WikiTextTocRule:141: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:141 --><!-- ws:start:WikiTextTocRule:142: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:142 --><!-- ws:start:WikiTextTocRule:143: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:143 --><!-- ws:start:WikiTextTocRule:144: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:144 --><!-- ws:start:WikiTextTocRule:145: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:145 --><!-- ws:start:WikiTextTocRule:146: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:146 --><!-- ws:start:WikiTextTocRule:147: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:147 --><!-- ws:start:WikiTextTocRule:148: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:148 --><!-- ws:start:WikiTextTocRule:149: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:149 --><!-- ws:start:WikiTextTocRule:150: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:150 --><!-- ws:start:WikiTextTocRule:151: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:151 --><!-- ws:start:WikiTextTocRule:152: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:152 --><!-- ws:start:WikiTextTocRule:153: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:153 --><!-- ws:start:WikiTextTocRule:154: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:154 --><!-- ws:start:WikiTextTocRule:155: --><!-- ws:end:WikiTextTocRule:155 --><!-- ws:start:WikiTextTocRule:156: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:156 --><!-- ws:start:WikiTextTocRule:157: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:157 --><!-- ws:start:WikiTextTocRule:158: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:158 --><!-- ws:start:WikiTextTocRule:159: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:159 --><!-- ws:start:WikiTextTocRule:160: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:160 --><!-- ws:start:WikiTextTocRule:161: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:161 --><!-- ws:start:WikiTextTocRule:162: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:162 --><!-- ws:start:WikiTextTocRule:163: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:163 --><!-- ws:start:WikiTextTocRule:164: --><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Stacks">Stacks</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --> | <a href="#Semiphore">Semiphore</a><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: -->
| |
| <!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/11052942?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;11052942&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://mediaplayer.yahoo.com/js">
| |
| </script><!-- ws:end:WikiTextMediaRule:0 --><br />
| |
| <hr />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Definitions"></a><!-- ws:end:WikiTextHeadingRule:1 -->Definitions</h1>
| |
| By a <em>chromatic pair</em> is meant a pair of <a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOSScales">MOS</a> in some rank two temperament (which may often be a <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Just%20intonation%20subgroups">subgroup temperament</a>) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called &quot;albitonic&quot; from the Latin word for &quot;white&quot;. Also included at times are &quot;haplotonic&quot; scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing unweighted rms error with <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Target%20tunings">tuning target</a> the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:3 -->Terrain</h1>
| |
| Subgroup: 2.9/5.9/7<br />
| |
| Commas: 250047/250000<br />
| |
| Sval name: 6&amp;21<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain">domain</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/POTE%20generator">POTE generator</a>: ~10/9 = 182.462<br />
| |
| <br />
| |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| |
| Error: 0.0443 cents<br />
| |
| <br />
| |
| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:178:&lt;img src=&quot;/file/view/terrain_3558edo.png/284858244/terrain_3558edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/terrain_3558edo.png/284858244/terrain_3558edo.png" alt="terrain_3558edo.png" title="terrain_3558edo.png" /><!-- ws:end:WikiTextLocalImageRule:178 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="Petrtri"></a><!-- ws:end:WikiTextHeadingRule:5 -->Petrtri</h1>
| |
| Subgroup: 2.11/5.13/5<br />
| |
| Comma: 2200/2197<br />
| |
| Svalname: 3&amp;5<br />
| |
| <br />
| |
| POTE generator: ~13/10 = 455.062<br />
| |
| <br />
| |
| Map: [&lt;1 0 1|, &lt;0 3 1|]<br />
| |
| EDOs: 21, 29, 211, 240, 269, 298, 327, 356, 385, 741c, 1126c<br />
| |
| Error: 0.6258 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:179:&lt;img src=&quot;/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png" alt="petrtri_385edo.png" title="petrtri_385edo.png" /><!-- ws:end:WikiTextLocalImageRule:179 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="Orgone"></a><!-- ws:end:WikiTextHeadingRule:7 -->Orgone</h1>
| |
| Subgroup: 2.7.11<br />
| |
| Commas: 65536/65219<br />
| |
| Svals: 4&amp;7<br />
| |
| <br />
| |
| POTE generator: ~77/64 = 323.372<br />
| |
| <br />
| |
| Map: [&lt;1 2 4|, &lt;0 3, -2|]<br />
| |
| EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308<br />
| |
| Error: 0.7313<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:180:&lt;img src=&quot;/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg" alt="orgone_308edo.jpg" title="orgone_308edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:180 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone15">Fifteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:9 -->Bridgetown</h1>
| |
| Subgroup: 2.3.11/5.13/5<br />
| |
| Commas: 352/351, 676/675<br />
| |
| Sval name: 5&amp;24<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago">barabados</a><br />
| |
| <br />
| |
| POTE generator: ~15/13 = 248.285<br />
| |
| <br />
| |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| |
| Error: 0.8996 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:181:&lt;img src=&quot;/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png" alt="bridgetown_29edo.png" title="bridgetown_29edo.png" /><!-- ws:end:WikiTextLocalImageRule:181 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown14">Fourteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:11:&lt;h2&gt; --><h2 id="toc5"><a name="Bridgetown-Music"></a><!-- ws:end:WikiTextHeadingRule:11 -->Music</h2>
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3" rel="nofollow">Paint in the Water 29</a></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Igliashon%20Jones">Igliashon Jones</a><br />
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3" rel="nofollow">Route 14 in Bridgetown</a></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:13:&lt;h1&gt; --><h1 id="toc6"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:13 -->Cata</h1>
| |
| Subgroup: 2.3.5.13<br />
| |
| Commas: 325/324, 625/624<br />
| |
| Sval name: 15&amp;19<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kleismic%20family">catakleismic</a><br />
| |
| <br />
| |
| POTE generator: ~6/5 = 317.076<br />
| |
| <br />
| |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd<br />
| |
| Error: 0.9355 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:182:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg" alt="cata_246edo2.jpg" title="cata_246edo2.jpg" /><!-- ws:end:WikiTextLocalImageRule:182 --><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata11">Eleven note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata15">Fifteen note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata19">Nineteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:15:&lt;h1&gt; --><h1 id="toc7"><a name="Neutraltet"></a><!-- ws:end:WikiTextHeadingRule:15 -->Neutraltet</h1>
| |
| Subgroup: 2.3.11<br />
| |
| Commas: 243/242<br />
| |
| Svalname: 7&amp;17<br />
| |
| <br />
| |
| POTE generator: ~11/9 = 350.525<br />
| |
| <br />
| |
| Map: [&lt;1 1 2|, &lt;0 2 5|]<br />
| |
| EDOs: 7, 17, 24, 65, 89, 202, 291, 380<br />
| |
| Error: 1.007<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:183:&lt;img src=&quot;/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png" alt="neutraltet_380edo.png" title="neutraltet_380edo.png" /><!-- ws:end:WikiTextLocalImageRule:183 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet10">Ten note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17">Seventeen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:17:&lt;h1&gt; --><h1 id="toc8"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:17 -->Tridec</h1>
| |
| Subgroup: 2.7/5.11/5.13/5<br />
| |
| Commas: 847/845, 1001/1000<br />
| |
| Sval name: 5&amp;8<br />
| |
| <br />
| |
| POTE generator: ~13/10 = 454.461<br />
| |
| <br />
| |
| Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br />
| |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c<br />
| |
| Error: 1.057<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:19:&lt;h1&gt; --><h1 id="toc9"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:19 -->Pepperoni</h1>
| |
| Subgroup: 2.3.11/7.13/7<br />
| |
| Commas: 352/351, 364/363<br />
| |
| Sval name: 5&amp;12<br />
| |
| Related temperament: The <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Peppermint-24">Pepper fifth</a>, which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.<br />
| |
| <br />
| |
| POTE generator: ~3/2 = 704.052<br />
| |
| <br />
| |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| |
| Error: 1.298 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:21:&lt;h1&gt; --><h1 id="toc10"><a name="Slendric"></a><!-- ws:end:WikiTextHeadingRule:21 -->Slendric</h1>
| |
| Subgroup: 2.3.7<br />
| |
| Comma: 1029/1024<br />
| |
| Sval name: 5&amp;21<br />
| |
| <br />
| |
| POTE generator: ~8/7 = 233.688<br />
| |
| <br />
| |
| Map: [&lt;1 1 3|, &lt;0 3 -1|]<br />
| |
| EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190<br />
| |
| Error: 1.109 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:184:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg" alt="slendric_190edo.jpg" title="slendric_190edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:184 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric11">Eleven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:23:&lt;h2&gt; --><h2 id="toc11"><a name="Slendric-Music"></a><!-- ws:end:WikiTextHeadingRule:23 -->Music</h2>
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3" rel="nofollow">The 11th Slendric Fanfare</a></span><br />
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3" rel="nofollow">16 Slendric Virgins</a></span><br />
| |
| by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:25:&lt;h1&gt; --><h1 id="toc12"><a name="Marveltwintri"></a><!-- ws:end:WikiTextHeadingRule:25 -->Marveltwintri</h1>
| |
| Subgroup: 2.5/3.13/9<br />
| |
| Comma: 325/324<br />
| |
| Svalname: 3&amp;4<br />
| |
| <br />
| |
| POTE generator: ~6/5 = 317.755<br />
| |
| <br />
| |
| Map: [&lt;1 0 2|, &lt;0 1 -2|]<br />
| |
| EDOs: 11, 15, 19, 34, 185, 219, 253, 287b, 321b<br />
| |
| Error: 1.413 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:185:&lt;img src=&quot;/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png" alt="marveltwintri_321edo.png" title="marveltwintri_321edo.png" /><!-- ws:end:WikiTextLocalImageRule:185 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri15">Fifteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:27:&lt;h1&gt; --><h1 id="toc13"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:27 -->Nestoria</h1>
| |
| Subgroup: 2.3.5.19<br />
| |
| Commas: 361/360, 513/512<br />
| |
| Sval name: 12&amp;29<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">schismatic</a><br />
| |
| <br />
| |
| POTE generator: ~3/2 = 701.746<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]<br />
| |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br />
| |
| Error: 1.819 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:29:&lt;h1&gt; --><h1 id="toc14"><a name="Marveltri"></a><!-- ws:end:WikiTextHeadingRule:29 -->Marveltri</h1>
| |
| Subgroup: 2.5.9/7<br />
| |
| Comma: 225/224<br />
| |
| Sval name: 3&amp;13<br />
| |
| Related temperaments: marvel, 22&amp;47, magic<br />
| |
| <br />
| |
| POTE generator: ~5/4 = 382.618<br />
| |
| <br />
| |
| Map: [&lt;1 0 5|, &lt;0 1 -2|]<br />
| |
| EDOs: 12, 13, 16, 19, 22, 47, 69<br />
| |
| Error: 2.043 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri10">Ten note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri13">Thirteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:31:&lt;h1&gt; --><h1 id="toc15"><a name="Penta"></a><!-- ws:end:WikiTextHeadingRule:31 -->Penta</h1>
| |
| Subgroup: 2.9.7.11<br />
| |
| Commas: 896/891, 26411/26244<br />
| |
| Svalname: 8&amp;11<br />
| |
| <br />
| |
| POTE generator: ~9/7 = 438.465<br />
| |
| <br />
| |
| Map: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]<br />
| |
| EDOs: 8, 11, 30, 41, 52<br />
| |
| Error: 2.260<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta13">Thirteen chromatic note scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta17">Seventeen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:33:&lt;h1&gt; --><h1 id="toc16"><a name="Guanyintet"></a><!-- ws:end:WikiTextHeadingRule:33 -->Guanyintet</h1>
| |
| Subgroup: 2.5.7/3.11/3<br />
| |
| Commas: 176/175, 540/539<br />
| |
| Svalname: 4&amp;9<br />
| |
| Related temperaments: guanyin, orwell<br />
| |
| <br />
| |
| POTE generator: ~7/6 = 269.619<br />
| |
| <br />
| |
| Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]<br />
| |
| EDOs: 9, 31, 40, 49, 89, 227bc, 316bcd<br />
| |
| Error: 2.533 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:35:&lt;h1&gt; --><h1 id="toc17"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:35 -->Photia</h1>
| |
| Subgroup: 2.3.5.17.19<br />
| |
| Commas: 171/170, 256/255, 324/323<br />
| |
| Sval name: 12&amp;41<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">schismatic</a><br />
| |
| <br />
| |
| POTE generator: ~3/2 = 701.470<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| |
| Error: 3.457 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:37:&lt;h1&gt; --><h1 id="toc18"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:37 -->Huntington</h1>
| |
| Subgroup: 2.5.7.13<br />
| |
| Commas: 640/637, 10985/10976<br />
| |
| Sval name: 10&amp;27<br />
| |
| <br />
| |
| POTE generator: ~16/13 = 357.002<br />
| |
| <br />
| |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| |
| Error: 2.1001 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:186:&lt;img src=&quot;/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg" alt="huntington_400edo.jpg" title="huntington_400edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:186 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:39:&lt;h1&gt; --><h1 id="toc19"><a name="Shoe"></a><!-- ws:end:WikiTextHeadingRule:39 -->Shoe</h1>
| |
| Subgroup: 2.5.7.11.13<br />
| |
| Commas: 176/175, 640/637, 847/845<br />
| |
| Sval name: 16&amp;21<br />
| |
| <br />
| |
| POTE generator: ~8/7 = 227.108<br />
| |
| <br />
| |
| Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]<br />
| |
| EDOs: 16, 21, 37<br />
| |
| Error: 2.488<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:187:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg" alt="shoe_37edo.jpg" title="shoe_37edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:187 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5">shoe5</a> - five note mini <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe6">shoe6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe11">shoe11</a> - eleven note note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe16">shoe16</a> - sixteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:41:&lt;h1&gt; --><h1 id="toc20"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:41 -->Roulette</h1>
| |
| Subgroup: 2.5.7.11.13<br />
| |
| Commas: 176/175, 1375/1372, 640/637<br />
| |
| Sval name: 6&amp;25<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
| |
| <br />
| |
| POTE generator: ~28/25 = 194.594<br />
| |
| <br />
| |
| Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]<br />
| |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| |
| Error: 2.555 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:188:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg" alt="roulette_37edo.jpg" title="roulette_37edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:188 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6">roulette6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette7">roulette7</a> - seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette13">roulette13</a> - thirteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette19">roulette19</a> - nineteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mega%20chromatic%20scale">mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:43:&lt;h1&gt; --><h1 id="toc21"><a name="Garibaldi"></a><!-- ws:end:WikiTextHeadingRule:43 -->Garibaldi</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 225/224, 3125/3087<br />
| |
| Val name: 12&amp;29<br />
| |
| <br />
| |
| POTE generator: ~3/2 = 702.085<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]<br />
| |
| EDOs: 7, 12, 17, 29, 41, 53, 94<br />
| |
| Error: 2.834<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi12">Twelve note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:45:&lt;h1&gt; --><h1 id="toc22"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:45 -->Baldy</h1>
| |
| Subgroup: 2.9.5.7.13<br />
| |
| Commas: 225/224, 325/324, 640/637<br />
| |
| Sval name: 6&amp;35<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">Garibaldi</a><br />
| |
| <br />
| |
| POTE generator: ~9/8 = 204.090<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]<br />
| |
| EDOs: 6, 11, 17, 23, 29, 35, 41, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo">47</a>, 100, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/147edo">147</a><br />
| |
| Error: 2.617 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:189:&lt;img src=&quot;/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg" alt="baldy_147edo.jpg" title="baldy_147edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:189 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy6">baldy6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy11">baldy11</a> - eleven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy17">baldy17</a> - seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:47:&lt;h1&gt; --><h1 id="toc23"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:47 -->Bossier</h1>
| |
| Subgroup: 2.7.11.13<br />
| |
| Commas: 1573/1569, 15488/15379<br />
| |
| Sval name: 3&amp;17<br />
| |
| <br />
| |
| POTE generator: ~14/11 = 421.309<br />
| |
| <br />
| |
| Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br />
| |
| EDOs: 17, 20, 37, 57, 94, 225<br />
| |
| Error: 2.665 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:190:&lt;img src=&quot;/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg" alt="bossier_225edo.jpg" title="bossier_225edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:190 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier14">Fourteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:49:&lt;h1&gt; --><h1 id="toc24"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:49 -->Radon</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 896/891, 1029/1024<br />
| |
| Sval name: 5&amp;36<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gamelismic%20clan">Rodan</a><br />
| |
| <br />
| |
| POTE generator: ~8/7 = 234.381<br />
| |
| <br />
| |
| Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
| |
| EDOs: 5, 36, 41, 87, 128<br />
| |
| Error: 2.925 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:191:&lt;img src=&quot;/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg" alt="radon_128edo.jpg" title="radon_128edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:191 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon11">Eleven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:51:&lt;h1&gt; --><h1 id="toc25"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:51 -->Myna</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 126/125, 1728/1715<br />
| |
| Val name: 4&amp;27<br />
| |
| <br />
| |
| POTE generator: ~6/5 = 310.146<br />
| |
| <br />
| |
| Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]<br />
| |
| EDOs: 4, 27, 31, 58, 89<br />
| |
| Error: 3.310 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:192:&lt;img src=&quot;/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg" alt="myna_89edo.jpg" title="myna_89edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:192 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna11">Eleven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:53:&lt;h1&gt; --><h1 id="toc26"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:53 -->Silver</h1>
| |
| Subgroup: 2.5.7.13.17<br />
| |
| Commas: 170/169, 640/637, 5525/5488<br />
| |
| Sval name: 10&amp;27<br />
| |
| <br />
| |
| POTE generator: ~13/8 = 842.711<br />
| |
| <br />
| |
| Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]<br />
| |
| EDOs: 7, 10, 17, 27, 37, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo">47</a>, 84, 131, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo">487</a><br />
| |
| Error: 3.437<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:193:&lt;img src=&quot;/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg" alt="silver_487edo.jpg" title="silver_487edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:193 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver7">silver7</a> -seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver10">silver10</a> - ten note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver17">silver17</a> - seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:55:&lt;h1&gt; --><h1 id="toc27"><a name="Mabila"></a><!-- ws:end:WikiTextHeadingRule:55 -->Mabila</h1>
| |
| Subgroup: 2.5.7<br />
| |
| Comma: 1071875/1048576<br />
| |
| Sval name: 7&amp;9<br />
| |
| <br />
| |
| POTE generator: ~175/128 = 527.236<br />
| |
| <br />
| |
| Map: [&lt;1 1 5|, &lt;0 3 -5|]<br />
| |
| EDOs: 7, 9, 16, 25, 41, 66<br />
| |
| Error: 3.560<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:194:&lt;img src=&quot;/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg" alt="mabila_66edo.jpg" title="mabila_66edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:194 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:57:&lt;h1&gt; --><h1 id="toc28"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:57 -->Meantone</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 81/80, 126/125<br />
| |
| Val name: 12&amp;19<br />
| |
| <br />
| |
| POTE generator: 696.495<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]<br />
| |
| EDOs: 5, 7, 12, 19, 31, 81, 112, 143<br />
| |
| Error: 3.585<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:195:&lt;img src=&quot;/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:195 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:59:&lt;h1&gt; --><h1 id="toc29"><a name="Starlingtet"></a><!-- ws:end:WikiTextHeadingRule:59 -->Starlingtet</h1>
| |
| Group: 2.5/3.7/3<br />
| |
| Comma: 126/125<br />
| |
| Svalname: 4&amp;15<br />
| |
| Related temperaments: starling; becomes myna<br />
| |
| POTE generator: ~6/5 = 311.213<br />
| |
| <br />
| |
| Map: [&lt;1 0 -1|, &lt;0 1 3|]<br />
| |
| EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b<br />
| |
| Error: 311.213<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet4">Four note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:61:&lt;h1&gt; --><h1 id="toc30"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:61 -->Indium</h1>
| |
| Subgroup: 2.5/3.7/3.11/3<br />
| |
| Commas: 3025/3024, 3125/3087<br />
| |
| Sval name: 8&amp;33<br />
| |
| <br />
| |
| POTE generator: ~12/11 = 147.159<br />
| |
| <br />
| |
| Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br />
| |
| EDOs: 33, 41, 49, 57, 106, 204, 253<br />
| |
| Error: 3.968 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| Music<br />
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3" rel="nofollow">The Cry of Indium</a></span> (in Indium 17) by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1532" rel="nofollow" target="_blank">details</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:63:&lt;h1&gt; --><h1 id="toc31"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:63 -->Magic</h1>
| |
| Group: 2.3.5.7.11<br />
| |
| Commas: 100/99, 225/224, 245/243<br />
| |
| Val name: 19&amp;22<br />
| |
| <br />
| |
| POTE generator: ~5/4 = 380.696<br />
| |
| <br />
| |
| Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]<br />
| |
| EDOs: 19, 22, 41, 104, 145<br />
| |
| Error: 4.489<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:196:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg" alt="magic_145edo.jpg" title="magic_145edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:196 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic13">Thirteen note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic16">Sixteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:65:&lt;h1&gt; --><h1 id="toc32"><a name="Gariberttet"></a><!-- ws:end:WikiTextHeadingRule:65 -->Gariberttet</h1>
| |
| Subgroup: 2.5/3.7/3.13/11<br />
| |
| Commas: 275/273, 847/845<br />
| |
| Svalname: 4&amp;29<br />
| |
| <br />
| |
| POTE generator: ~13/11 = 292.418<br />
| |
| <br />
| |
| Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]<br />
| |
| EDOs: 29, 33, 37, 41, 78<br />
| |
| Error: 4.473<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:67:&lt;h1&gt; --><h1 id="toc33"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:67 -->Hemif</h1>
| |
| Subgroup: 2.3.7.11.13<br />
| |
| Commas: 144/143, 243/242, 364/363<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments">Hemififths</a><br />
| |
| <br />
| |
| POTE generator: ~11/9 = 351.691<br />
| |
| <br />
| |
| Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
| |
| EDOs: 7, 10, 17, 24, 41, 58<br />
| |
| Error: 4.867 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:197:&lt;img src=&quot;/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg" alt="hemif_58edo.jpg" title="hemif_58edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:197 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:69:&lt;h1&gt; --><h1 id="toc34"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:69 -->Skwares</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 99/98, 243/242<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">squares</a><br />
| |
| <br />
| |
| POTE generator: ~9/7 = 425.244<br />
| |
| <br />
| |
| Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
| |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206<br />
| |
| Error: 4.942 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:198:&lt;img src=&quot;/file/view/skwares_206edo.png/284589566/skwares_206edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/skwares_206edo.png/284589566/skwares_206edo.png" alt="skwares_206edo.png" title="skwares_206edo.png" /><!-- ws:end:WikiTextLocalImageRule:198 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares11">Eleven note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares14">Fourteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:71:&lt;h1&gt; --><h1 id="toc35"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:71 -->Sensi</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 126/126, 245/243<br />
| |
| Val name: 19&amp;27<br />
| |
| <br />
| |
| POTE generator: ~9/7 = 443.383<br />
| |
| <br />
| |
| Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]<br />
| |
| EDOs: 5, 8, 11, 19, 27, 46<br />
| |
| Error: 5.019<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:199:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:199 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi11">Eleven note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19">Nineteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:73:&lt;h1&gt; --><h1 id="toc36"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:73 -->Greeley</h1>
| |
| Subgroup: 2.5/3.7/3.11/3<br />
| |
| Commas: 121/120, 126/125<br />
| |
| <br />
| |
| POTE generator: ~11/10 = 156.055<br />
| |
| <br />
| |
| Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
| |
| EDOs: 8, 15, 23, 77, 100<br />
| |
| Error: 5.404 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:75:&lt;h2&gt; --><h2 id="toc37"><a name="Greeley-Music"></a><!-- ws:end:WikiTextHeadingRule:75 -->Music</h2>
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3" rel="nofollow">A Greeley Steals Halloween</a></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1485" rel="nofollow" target="_blank">Chris Vaisvil</a> in Greeley 15<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:77:&lt;h1&gt; --><h1 id="toc38"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:77 -->Semidim</h1>
| |
| Subgroup: 2.5/3.7/3.11/3.13/3<br />
| |
| Commas: 121/120, 169/168, 275/273<br />
| |
| Sval name: 8&amp;29<br />
| |
| <br />
| |
| POTE generator: ~13/10 = 453.190<br />
| |
| <br />
| |
| Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]<br />
| |
| EDOs: 5, 8, 13, 21, 29, 37, 45<br />
| |
| Error: 5.433 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:79:&lt;h1&gt; --><h1 id="toc39"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:79 -->Orwell</h1>
| |
| Group: 2.3.5.7.11<br />
| |
| Commas: 99/98, 121/120, 176/175<br />
| |
| Val name: 9&amp;22<br />
| |
| <br />
| |
| POTE generator: ~7/6 = 271.426<br />
| |
| <br />
| |
| Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]<br />
| |
| EDOs: 9, 22, 31, 53, 84<br />
| |
| Error: 5.584<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:200:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png" alt="orwell_84edo.png" title="orwell_84edo.png" /><!-- ws:end:WikiTextLocalImageRule:200 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:81:&lt;h1&gt; --><h1 id="toc40"><a name="Magicaltet"></a><!-- ws:end:WikiTextHeadingRule:81 -->Magicaltet</h1>
| |
| Group: 2.5/3.7.11<br />
| |
| Commas: 100/99, 385/384<br />
| |
| Related temperaments: 4&amp;7&amp;15, magic<br />
| |
| <br />
| |
| POTE generator: ~6/5 = 319.424<br />
| |
| <br />
| |
| Map: [&lt;1 0 5 2|, &lt;0 1 -3 2|]<br />
| |
| EDOs: 11, 15, 79cd, 94cd, 109cd, 124cd, 139cd<br />
| |
| Error: 5.720 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet15">Fifteen note mega scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:83:&lt;h1&gt; --><h1 id="toc41"><a name="Sentry"></a><!-- ws:end:WikiTextHeadingRule:83 -->Sentry</h1>
| |
| Group: 2.5/3.9/7<br />
| |
| Commas: 245/243<br />
| |
| Svalname: 3&amp;5<br />
| |
| Related temperaments: sensi<br />
| |
| <br />
| |
| POTE generator: ~9/7 = 438.574<br />
| |
| <br />
| |
| Map: [&lt;1 0 0|, &lt;0 2 1|]<br />
| |
| EDOs: 8, 11, 30, 41, 52, 145b, 197bc<br />
| |
| Error: 5.793 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry11">Eleven note note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:85:&lt;h1&gt; --><h1 id="toc42"><a name="Mothwelltri"></a><!-- ws:end:WikiTextHeadingRule:85 -->Mothwelltri</h1>
| |
| Group: 2.7/3.11<br />
| |
| Comma: 99/98<br />
| |
| Svalname: 1&amp;4<br />
| |
| Related temperament: Orwell<br />
| |
| <br />
| |
| POTE generator:~7/6 = 268.508<br />
| |
| <br />
| |
| Map: [&lt;1 0 1|, &lt;0 1 2|]<br />
| |
| EDOs: 9, 40, 49c, 58c, 67c, 76c<br />
| |
| Error: 6.119 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:87:&lt;h1&gt; --><h1 id="toc43"><a name="Lovecraft"></a><!-- ws:end:WikiTextHeadingRule:87 -->Lovecraft</h1>
| |
| Group: 2.11.13<br />
| |
| <br />
| |
| POTE generator: ~13/11 = 279.318<br />
| |
| <br />
| |
| Map: [&lt;1 1 0|, &lt;0 2 3|]<br />
| |
| EDOS: 13, 30, 43, 73, 116b<br />
| |
| Error: 6.026 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:201:&lt;img src=&quot;/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png" alt="lovecraft_116edo.png" title="lovecraft_116edo.png" /><!-- ws:end:WikiTextLocalImageRule:201 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:89:&lt;h1&gt; --><h1 id="toc44"><a name="Bleu"></a><!-- ws:end:WikiTextHeadingRule:89 -->Bleu</h1>
| |
| Group: 2.3.7.11.13<br />
| |
| Commas: 78/77, 99/98, 144/143<br />
| |
| Sval name: 9&amp;17<br />
| |
| <br />
| |
| POTE generator: ~13/12 = 139.990<br />
| |
| <br />
| |
| Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]<br />
| |
| EDOs: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo">43</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo">60c</a><br />
| |
| Error: 6.361 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:202:&lt;img src=&quot;/file/view/blue_60edo.png/284591332/blue_60edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="blue_60edo.png" title="blue_60edo.png" /><!-- ws:end:WikiTextLocalImageRule:202 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu8">bleu8</a> - Eight note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu9">bleu9</a> - Nine note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu17">bleu17</a> - Seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:91:&lt;h1&gt; --><h1 id="toc45"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:91 -->Mohaha</h1>
| |
| Subgroup: 2.3.5.11<br />
| |
| Commas: 81/80, 121/120<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">mohajira</a><br />
| |
| <br />
| |
| POTE generator: ~11/9 = 348.094<br />
| |
| <br />
| |
| Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br />
| |
| EDOs: 24, 31, 69d, 100d, 131bd<br />
| |
| Error: 6.733 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha10">Ten note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:93:&lt;h2&gt; --><h2 id="toc46"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:93 -->Mohoho</h2>
| |
| Subgroup: 2.3.5.11.13<br />
| |
| Commas: 66/65, 81/80, 121/120<br />
| |
| <br />
| |
| POTE generator: ~11/9 = 348.916<br />
| |
| <br />
| |
| Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br />
| |
| EDOs: 17c, 24, 31, 55, 86de, 141cde<br />
| |
| Error: 9.556 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:95:&lt;h1&gt; --><h1 id="toc47"><a name="Stacks"></a><!-- ws:end:WikiTextHeadingRule:95 -->Stacks</h1>
| |
| Subgroup: 2.9.15.7.11.13<br />
| |
| Commas: 100/99, 105/104, 144/143, 196/195<br />
| |
| Svalname: 11&amp;30<br />
| |
| <br />
| |
| POTE generator: ~9/7 = 438.977<br />
| |
| <br />
| |
| Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]<br />
| |
| EDOs: 11, 30, 41<br />
| |
| Error: 6.947 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks11">Eleven note note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks19">Nineteen note note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:97:&lt;h1&gt; --><h1 id="toc48"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:97 -->Tutone</h1>
| |
| Subgroup: 2.9.5.7.11<br />
| |
| Commas: 81/80, 99/98, 126/125<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meantone</a><br />
| |
| <br />
| |
| POTE generator: ~9/8 = 193.937<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br />
| |
| EDOs: 25, 31, 68b, 99b<br />
| |
| Error: 7.047 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:203:&lt;img src=&quot;/file/view/tutone_99edo.png/284592004/tutone_99edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/tutone_99edo.png/284592004/tutone_99edo.png" alt="tutone_99edo.png" title="tutone_99edo.png" /><!-- ws:end:WikiTextLocalImageRule:203 --><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:99:&lt;h1&gt; --><h1 id="toc49"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:99 -->Leantone</h1>
| |
| Subgroup: 2.9.5.7.11<br />
| |
| Commas: 45/44, 56/55, 81/80<br />
| |
| Related temperament: <a class="wiki_link" href="/meanenneadecal">meanenneadecal</a><br />
| |
| <br />
| |
| POTE generator: ~9/8 = 192.500<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br />
| |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br />
| |
| Error: 20.338 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:204:&lt;img src=&quot;/file/view/leantone_81edo.png/284593104/leantone_81edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/leantone_81edo.png/284593104/leantone_81edo.png" alt="leantone_81edo.png" title="leantone_81edo.png" /><!-- ws:end:WikiTextLocalImageRule:204 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:101:&lt;h1&gt; --><h1 id="toc50"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:101 -->Score</h1>
| |
| Subgroup: 2.7.11.13<br />
| |
| Commas: 343/338, 847/832<br />
| |
| <br />
| |
| POTE generator: ~11/8 = 540.099<br />
| |
| <br />
| |
| Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br />
| |
| EDOs: 5, 7, 9, 11, 20<br />
| |
| Error: 8.052 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:205:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg" alt="score_20edo.jpg" title="score_20edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:205 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score9">Nine note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:103:&lt;h1&gt; --><h1 id="toc51"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:103 -->Supra</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 64/63, 99/98<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/suprapyth">suprapyth</a><br />
| |
| <br />
| |
| POTE generator: ~3/2 = 707.192<br />
| |
| <br />
| |
| Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
| |
| EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c<br />
| |
| Error: 9.795 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:105:&lt;h2&gt; --><h2 id="toc52"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:105 -->Supraphon</h2>
| |
| Subgroup: 2.3.7.11.13<br />
| |
| Commas: 64/63, 78/77, 99/98<br />
| |
| <br />
| |
| POTE generator: ~3/2 = 706.137<br />
| |
| <br />
| |
| Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br />
| |
| EDOs: 5, 7, 12, 17<br />
| |
| Error: 10.534 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:107:&lt;h2&gt; --><h2 id="toc53"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:107 -->Machine</h2>
| |
| Subgroup: 2.9.7.11<br />
| |
| Commas: 64/63, 99/98<br />
| |
| <br />
| |
| POTE generator: ~9/8 = 214.384<br />
| |
| <br />
| |
| Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br />
| |
| EDOs: 5, 6, 11, 17, 28<br />
| |
| Error: 10.100 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:206:&lt;img src=&quot;/file/view/machine_28edo.png/284594814/machine_28edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/machine_28edo.png/284594814/machine_28edo.png" alt="machine_28edo.png" title="machine_28edo.png" /><!-- ws:end:WikiTextLocalImageRule:206 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine6">Six note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:109:&lt;h1&gt; --><h1 id="toc54"><a name="Antikythera"></a><!-- ws:end:WikiTextHeadingRule:109 -->Antikythera</h1>
| |
| Subgroup: 2.9.5.7<br />
| |
| Commas: 50/49, 64/63<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pajara">pajara</a><br />
| |
| <br />
| |
| POTE generator: ~8/7 = 214.095<br />
| |
| <br />
| |
| Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]<br />
| |
| EDOS: 4, 6, 10, 16, 22, 28<br />
| |
| Error: 11.508 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:207:&lt;img src=&quot;/file/view/antikythera_28edo.png/284595816/antikythera_28edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/antikythera_28edo.png/284595816/antikythera_28edo.png" alt="antikythera_28edo.png" title="antikythera_28edo.png" /><!-- ws:end:WikiTextLocalImageRule:207 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:111:&lt;h1&gt; --><h1 id="toc55"><a name="Deutone"></a><!-- ws:end:WikiTextHeadingRule:111 -->Deutone</h1>
| |
| Subgroup: 2.9.5.7.13<br />
| |
| Commas: 65/64, 81/80, 91/90<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meanpop</a><br />
| |
| <br />
| |
| POTE generator: ~9/8 = 191.059<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]<br />
| |
| EDOs: 6, 7, 13, 19, 25, 44, 69<br />
| |
| Error: 12.145 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:208:&lt;img src=&quot;/file/view/deutone_44edo.png/284596634/deutone_44edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/deutone_44edo.png/284596634/deutone_44edo.png" alt="deutone_44edo.png" title="deutone_44edo.png" /><!-- ws:end:WikiTextLocalImageRule:208 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone7">seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:113:&lt;h1&gt; --><h1 id="toc56"><a name="Semiphore"></a><!-- ws:end:WikiTextHeadingRule:113 -->Semiphore</h1>
| |
| Subgroup: 2.3.7<br />
| |
| Comma: 49/48<br />
| |
| <br />
| |
| POTE generator: ~7/6 = 250.385<br />
| |
| <br />
| |
| Map: [&lt;1 0 2|, &lt;0 2 1|]<br />
| |
| EDOs: 5, 9, 14, 19, 24<br />
| |
| Error: 12.428<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:209:&lt;img src=&quot;/file/view/semiphore_24edo.png/284597480/semiphore_24edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/semiphore_24edo.png/284597480/semiphore_24edo.png" alt="semiphore_24edo.png" title="semiphore_24edo.png" /><!-- ws:end:WikiTextLocalImageRule:209 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore14">Fourteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:115:&lt;h1&gt; --><h1 id="toc57"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:115 -->Augment</h1>
| |
| Subgroup: 2.5.7.11<br />
| |
| Commas: 56/55, 128/125<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Augmented%20family">augmented</a><br />
| |
| <br />
| |
| POTE generator: ~8/7 = 228.275<br />
| |
| <br />
| |
| Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br />
| |
| EDOs: 3, 6, 9, 15, 21<br />
| |
| Error: 12.830 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:210:&lt;img src=&quot;/file/view/augment_21edo.png/284598188/augment_21edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/augment_21edo.png/284598188/augment_21edo.png" alt="augment_21edo.png" title="augment_21edo.png" /><!-- ws:end:WikiTextLocalImageRule:210 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment12">Twelve note chromatic scale</a></body></html></pre></div>
| |