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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.
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.


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.
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.


== Terrain ==
== Terrain ==
Subgroup: 2.9/5.9/7
{{See also| Subgroup temperaments #Terrain }}


Commas: 250047/250000
[[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]]


Sval name: 6&21
Scales:  
 
* [[Terrain9]] – 9-tone albitonic scale
Related temperament: [[Minortonic_family#Domain|domain]]
* [[Terrain15]] – 15-tone chromatic scale
 
[[Tp_tuning|POT2 generator]]: ~10/9 = 182.461
 
[[Gencom|Gencom]]: [63/50 10/9; 250047/250000]


Gencom mapping: [<3 10/9 -7/9 2/9|, <0 -2/3 -1/3 2/3|]
; 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]
Mapping: [<3 0 -4|, <0 1 2|]
 
EDOs: {{EDOs|6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.00844 cents
 
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.
 
[[File:terrain_3558edo.png|alt=terrain_3558edo.png|terrain_3558edo.png]]
 
[[terrain9|Nine note albitonic scale]]
 
[[terrain15|Fifteen note chromatic scale]]
 
[http://chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/ 5 5 1 mode of 33 equal (with video)] [http://micro.soonlabel.com/33edo/20130827_551of33.mp3 play] by [[Chris_Vaisvil|Chris Vaisvil]]


== Petrtri ==
== Petrtri ==
Subgroup: 2.11/5.13/5
{{See also| Subgroup temperaments #Petrtri }}


Comma: 2200/2197
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]


Svalname: 3&5
Scales:  
 
* [[Petrtri5]] – 5-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~13/10 = 455.012
* [[Petrtri8]] – 8-tone albitonic scale
 
* [[Petrtri13]] – 13-tone chromatic scale
[[Gencom|Gencom]]: [2 13/10; 2200/2197]
 
Gencom mapping: [<1 0 -1/3 0 -1/3 2/3|, <0 0 -4/3 0 5/3 -1/3|]
 
Mapping: [<1 0 1|, <0 3 1|]
 
EDOs: {{EDOs|21, 29, 153, 182, 211, 240, 269, 298, 327, 356, 385, 509, 741c, 1126c}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.0749 cents
 
[[File:petrtri_385edo.png|alt=petrtri_385edo.png|petrtri_385edo.png]]
 
[[petrtri5|Five note haplotonic scale]]
 
[[petrtri8|Eight note albitonic scale]]
 
[[petrtri13|Thirteen note chromatic scale]]


== Barton ==
== Barton ==
Subgroup: 2.5.11.13
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
{{See also| The Jacobins #Barton }}


Commas: 2200/2197, 6656/6655
Scales:  
 
* [[Barton5]] – 5-tone haplotonic scale
Svalname: 11&13
* [[Barton7]] – 7-tone albitonic scale
 
* [[Barton9]] – 9-tone mega-albitonic scale
[[Tp_tuning|POT2 generator]]: ~11/8 = 551.699
* [[Barton11]] – 11-tone chromatic scale
 
* [[Barton13]] – 13-tone mega-chromatic scale
Gencom: [2 11/8; 2200/2197 6656/6655]
 
Gencom mapping: [<1 0 6 0 3 6|, <0 0 -8 0 1 -5|]
 
Mapping: [<1 6 3 6|, <0 -8 1 -5|]
 
EDOs: {{EDOs|11, 13, 24, 37, 50, 87, 298, 385, 472, 559, 1590cd}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.0822 cents
 
[[barton5|Five note haplotonic scale]]
 
[[barton7|Seven note albitonic scale]]
 
[[barton9|Nine note mega albitonic scale]]
 
[[barton11|Eleven note chromatic scale]]
 
[[barton13|Thirteen note mega chromatic scale]]
 
== Voltage ==
Subgroup: 2.7.13
 
Comma: 28672/28561
 
Sval name: 3&7
 
[[Tp_tuning|POT2 generator]]: ~16/13 = 357.677
 
[[TOP_tuning|POTT generator]]: ~16/13 = 1200 - 300 log₂(7) (357.794)
 
Gencom: [2, 16/13; 28672/28561]
 
Gencom mapping: [<1 0 0 4 0 4|, <0 0 0 -4 0 -1|]
 
Mapping: [<1 4 4|, <0 -4 -1|]
 
EDOS: {{EDOs|3, 7, 10, 27, 37, 47, 57, 104}}
 
RMS error: 0.1423


== Tridec ==
== Tridec ==
Subgroup: 2.7/5.11/5.13/5
{{See also| Subgroup temperaments #Tridec }}


Commas: 847/845, 1001/1000
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]


Sval name: 5&8
Scales:  
 
* [[Tridec8]] – 8-tone albitonic scale
[[Tp_tuning|POT2 generator]]: ~13/10 = 454.556
* [[Tridec13]] – 13-tone chromatic scale
 
[[Gencom|Gencom]]: [2 13/10; 847/845 1001/1000]
 
Gencom mapping: [<1 0 -3/4 5/4 -3/4 1/4|, <0 0 0 -4 3 1|]
 
Mapping: [<1 2 0 1|, <0 -4 3 1|]
 
EDOs: {{EDOs|5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c, 953bc}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.1613 cents
 
[[File:tridec_235edo.png|alt=tridec_235edo.png|tridec_235edo.png]]
 
[[Tridec8|Eight note albitonic scale]]
 
[[Tridec13|Thirteen note chromatic scale]]


== Nestoria ==
== Nestoria ==
Subgroup: 2.3.5.19
{{See also| Schismatic family #Nestoria (2.3.5.19)}}


Commas: 361/360, 513/512
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]


Sval name: 12&29
Scales:  
 
* [[Nestoria7]] – 7-tone albitonic scale
Related temperament: [[Schismatic_family|schismatic]]
* [[Nestoria12]] – 12-tone chromatic scale
 
* [[Nestoria17]] – 17-tone mega chromatic scale
[[Tp_tuning|POT2 generator]]: ~3/2 = 701.746
 
[[Gencom|Gencom]]: [2 3/2; 361/360 513/512]
 
Gencom mapping: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 0 -3|]
 
Mapping: [<1 0 15 9|, <0 1 -8 -3|]
 
EDOs: {{EDOs|7, 12, 17, 29, 41, 53, 118, 171, 460d, 631d}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.1763 cents
 
[[File:nestoria_171edo.png|alt=nestoria_171edo.png|nestoria_171edo.png]]
 
[[nestoria7|Seven note albitonic scale]]
 
[[nestoria12|Twelve note chromatic scale]]
 
[[nestoria17|Seventeen note mega chromatic scale]]


== Orgone ==
== Orgone ==
Subgroup: 2.7.11
{{Main| Orgone }}
{{See also| Orgonia #Orgone }}


Commas: 65536/65219
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]


Svals: 4&7
Scales:  
 
* [[Orgone7]] – 7-tone albitonic scale
Related temperament: [[Gamelismic_clan#superkleismic|superkleismic]]
* [[Orgone11]] – 11-tone chromatic scale
 
* [[Orgone15]] – 15-tone mega-chromatic scale
[[Tp_tuning|POT2 generator]]: ~77/64 = 323.372
 
[[Gencom|Gencom]]: [2 77/64; 65536/65219]
 
Gencom mapping: [<1 0 0 2 4|, <0 0 0 3 -2|]
 
Mapping: [<1 2 4|, <0 3 -2|]
 
EDOs: {{EDOs|4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.1888 cents
 
[[File:orgone_308edo.jpg|alt=orgone_308edo.jpg|orgone_308edo.jpg]]
 
[[orgone7|Seven note albitonic scale]]
 
[[orgone11|Eleven note chromatic scale]]
 
[[orgone15|Fifteen note mega chromatic scale]]


== Marveltwintri ==
== Marveltwintri ==
Subgroup: 2.5/3.13/9
{{See also| Subgroup temperaments #Marveltwintri }}


Comma: 325/324
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]


Svalname: 3&4
Scales:  
 
* [[Marveltwintri7]] – 7-tone albitonic scale
[[Tp_tuning|POT2 generator]]: ~6/5 = 317.139
* [[Marveltwintri11]] – 11-tone chromatic scale
 
* [[Marveltwintri15]] – 15-tone mega-chromatic scale
[[Gencom|Gencom]]: [2 6/5; 325/324]
 
Gencom mapping: [<1 -1/6 5/6 0 0 -1/3|, <0 -1/2 -3/2 0 0 1|]
 
Mapping: [<1 0 2|, <0 1 -2|]
 
EDOs: {{EDOs|11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.2444 cents
 
[[File:marveltwintri_321edo.png|alt=marveltwintri_321edo.png|marveltwintri_321edo.png]]
 
[[marveltwintri7|Seven note albitonic scale]]
 
[[marveltwintri11|Eleven note chromatic scale]]
 
[[marveltwintri15|Fifteen note mega chromatic scale]]


== Cata ==
== Cata ==
{{Main| Catakleismic }}
{{Main| Kleismic }}
{{See also| Kleismic family #Cata }}
{{See also| Kleismic family #Cata }}


Line 228: Line 83:


Scales:  
Scales:  
* [[Cata7]] – 7-tone [[albitonic scale]]
* [[Cata7]] – 7-tone albitonic scale
* [[Cata11]] – 11-tone [[mega-albitonic scale]]
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone [[chromatic scale]]
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone [[mega-chromatic scale]]
* [[Cata19]] – 19-tone mega-chromatic scale


== Bridgetown ==
== Bridgetown ==
Subgroup: 2.3.11/5.13/5
{{See also| Subgroup temperaments #Bridgetown }}


Commas: 352/351, 676/675
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]


Sval name: 5&24
Scales:  
* [[Bridgetown9]] – 9-tone albitonic scale
* [[Bridgetown14]] – 14-tone chromatic scale


Related temperaments: [[Chromatic_pairs#Haumea|haumea]], [[The_Archipelago|barbados]]
; 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]]
[[Tp_tuning|POT2 generator]]: ~15/13 = 248.399
* ''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
 
[[Gencom|Gencom]]: [2 15/13; 352/351 676/675]
 
Gencom mapping: [<1 2 -5/3 0 4/3 1/3|, <0 -2 4 0 -5 1|]
 
Mapping: [<1 0 -6 -1|, <0 2 9 3|]
 
EDOs: {{EDOs|5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.2513 cents
 
[[File:bridgetown_29edo.png|alt=bridgetown_29edo.png|bridgetown_29edo.png]]
 
[[bridgetown9|Nine note albitonic scale]]
 
[[bridgetown14|Fourteen note chromatic scale]]
 
=== Music ===
<span style=""><span style="">[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 Paint in the Water 29]</span></span> by [[Igliashon_Jones|Igliashon Jones]]
 
<span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 Route 14 in Bridgetown]</span></span> by [[Chris_Vaisvil|Chris Vaisvil]]


== Haumea ==
== Haumea ==
Subgroup: 2.3.7/5.11/5.13/5
{{See also| Subgroup temperaments #Haumea }}


Commas: 352/351, 676/675, 847/845
Scales:  
 
* [[Haumea5]] – 5-tone haplotonic scale
Related temperaments: [[Chromatic_pairs#Bridgetown|bridgetown]], [[Hemifamity_family#Namaka|namaka]], hemigari, barbados, parizekmic
* [[Haumea9]] – 9-tone albitonic scale
 
* [[Haumea14]] – 14-tone chromatic scale
[[Tp_tuning|POT2 generator]]: ~15/13 = 248.491
* [[Haumea19]] – 19-tone mega-chromatic scale
 
[[Gencom|Gencom]]: [2 15/13; 352/351 676/675 847/845]
 
Gencom mapping: [&lt;1 2 -3/4 -11/4 9/4 5/4|, &lt;0 -2 0 12 -9 -3|]
 
Mapping: [&lt;1 0 10 -6 -1|, &lt;0 2 -12 9 3|]
 
EDOs: {{EDOs|24, 29, 111, 140, 169, 198, 565d, 763bd, 961bd}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.2668 cents
 
[[haumea5|Five note haplotonic scale]]
 
[[haumea9|Nine note albitonic scale]]
 
[[haumea14|Fourteen note chromatic scale]]
 
[[haumea19|Nineteen note mega chromatic scale]]


== Neutral ==
== Neutral ==
Subgroup: 2.3.11
{{See also| Rastmic clan #Neutral }}


Commas: 243/242
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]


Svalname: 7&amp;17
Scales:  
 
* [[Neutral7]] – 7-tone albitonic scale
[[Tp_tuning|POT2 generator]]: ~11/9 = 350.525
* [[Neutral10]] – 10-tone chromatic scale
 
* [[Neutral17]] – 17-tone mega-chromatic scale
[[Gencom|Gencom]]: [2 11/9; 243/242]


Gencom mapping: [&lt;1 1 0 0 2|, &lt;0 2 0 0 5|]
; Music
 
* [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
Mapping: [&lt;1 1 2|, &lt;0 2 5|]
 
EDOs: {{EDOs|7, 17, 24, 65, 89, 202, 291, 380}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.3021 cents
 
[[File:neutral_380edo.png|alt=neutral_380edo.png|neutral_380edo.png]]
 
[[neutral7|Seven note albitonic scale]]
 
[[neutral10|Ten note chromatic scale]]
 
[[neutral17|Seventeen note mega chromatic scale]]
 
=== Music ===
[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], 24et tuning


== Slendric ==
== Slendric ==
Line 329: Line 130:


Scales:  
Scales:  
* [[Slendric5]] – 5-tone [[haplotonic scale]]
* [[Slendric5]] – 5-tone haplotonic scale
* [[Slendric6]] – 6-tone [[haplotonic scale]]
* [[Slendric6]] – 6-tone haplotonic scale
* [[Slendric11]] – 11-tone [[albitonic scale]]
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone [[chromatic scale]]
* [[Slendric16]] – 16-tone chromatic scale


== Huntington ==
== Huntington ==
Subgroup: 2.5.7.13
{{See also| No-threes subgroup temperaments #Huntington }}


Commas: 640/637, 10985/10976
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]


Sval name: 10&amp;27
Scales:  
 
* [[Huntington7]] – 7-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~16/13 = 357.002
* [[Huntington10]] – 10-tone albitonic scale
 
* [[Huntington17]] – 17-tone chromatic scale
[[Gencom|Gencom]]: [2 16/13; 640/637 10985/10976]
 
Gencom mapping: [&lt;1 0 5 4 0 4|, &lt;0 0 -9 -4 0 -1|]
 
Mapping: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
 
EDOs: {{EDOs|7, 10, 17, 27, 37, 84, 121, 279cd, 400cd}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.3452 cents
 
[[File:huntington_400edo.jpg|alt=huntington_400edo.jpg|huntington_400edo.jpg]]
 
[[huntington7|Seven note haplotonic scale]]
 
[[huntington10|Ten note albitonic scale]]
 
[[huntington17|Seventeen note chromatic scale]]


== Tobago ==
== Tobago ==
Subgroup: 2.3.11.13/5
{{See also| Subgroup temperaments #Tobago }}


Commas: 243/242, 676/675
Scales:  
 
* [[Tobago6]] – 6-tone haplotonic scale
Sval name: 10&amp;14
* [[Tobago10]] – 10-tone albitonic scale
 
* [[Tobago14]] – 14-tone chromatic scale
Related temperaments: [[Chromatic_pairs#Neutral|neutral]], [[The_Archipelago|barbados]]
* [[Tobago24]] – 24-tone quatertone scale
 
[[Tp_tuning|POT2 generator]]: ~15/13 = 249.312
 
[[Gencom|Gencom]]: [55/39 15/13; 243/242 676/675]
 
Gencom mapping: [&lt;2 4 -2 0 9 2|, &lt;0 -2 3/2 0 -5 -3/2|]
 
Mapping: [&lt;2 0 -1 -2], &lt;0 2 5 3]]
 
EDOs: {{EDOs|10, 14, 24, 58, 82, 130}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.3533 cents
 
[[tobago6|Six note haplotonic scale]]
 
[[tobago10|Ten note albitonic scale]]
 
[[tobago14|Fourteen note chromatic scale]]
 
[[tobago24|Twentyfour note quatertone scale]]


== Pepperoni ==
== Pepperoni ==
Subgroup: 2.3.11/7.13/7
{{See also| Parapyth }}
{{See also| Subgroup temperaments #Pepperoni }}


Commas: 352/351, 364/363
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]


Sval name: 5&amp;12
Scales:  
 
* [[Pepperoni7]] – 7-tone albitonic scale
Related temperament: The [[Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.
* [[Pepperoni12]] – 12-tone chromatic scale
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 703.856
 
[[Gencom|Gencom]]: [2 3/2; 352/351 364/363]
 
Gencom mapping: [&lt;1 1 0 -8/3 1/3 7/3|, &lt;0 1 0 11/3 -1/3 -10/3|]
 
Mapping: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
 
EDOs: {{EDOs|5, 7, 12, 17, 29, 46, 58, 75, 80, 87, 104, 121, 167, 196, 208, 271, 595bcd}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.3789 cents
 
[[File:pepperoni_271edo.png|alt=pepperoni_271edo.png|pepperoni_271edo.png]]
 
[[pepperoni7|Seven note albitonic scale]]
 
[[pepperoni12|Twelve note chromatic scale]]


== Wizz ==
== Wizz ==
Subgroup: 2.5.11
{{See also| No-threes subgroup temperaments #Wizz }}


Commas: 15625/15488
Scales:  
 
* [[Wizz6]] – 6-tone haplotonic scale
Sval name: 6&amp;16
* [[Wizz10]] – 10-tone albitonic scale
 
* [[Wizz16]] – 16-tone chromatic scale
Related temperaments: [[Marvel_temperaments#Wizard-11-limit|wizard]]
 
Generator: ~5/4 = 383.768
 
[[Gencom|Gencom]]: [125/88 5/4; 15625/15488]
 
Gencom mapping: [&lt;2 0 4 0 5| &lt;0 0 1 0 3|]
 
Mapping: [&lt;2 0 -7|, &lt;0 1 3|]
 
EDOs: {{EDOs|6, 16, 22, 28, 50, 122, 172, 222}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.3997
 
[[wizz6|Six note haplotonic scale]]
 
[[wizz10|Ten note albitonic scale]]
 
[[wizz16|Sixteen note chromatic scale]]


== Bossier ==
== Bossier ==
Subgroup: 2.7.11.13
{{See also| No-threes subgroup temperaments #Bossier }}


Commas: 1573/1568, 15488/15379
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]


Sval name: 3&amp;17
Scales:  
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


[[Tp_tuning|POT2 generator]]: ~14/11 = 421.309
== Penta a.k.a. mechanism ==
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}


[[Gencom|Gencom]]: [2 14/11; 1573/1568 15488/15379]
Scales:  
 
* [[Penta5]] – 5-tone haplotonic scale
Gencom mapping: [&lt;1 0 0 0 1 3|, &lt;0 0 0 8 7 2|]
* [[Penta8]] – 8-tone albitonic scale
 
* [[Penta11]] – 11-tone chromatic scale
Mapping: [&lt;1 0 1 3|, &lt;0 8 7 2|]
* [[Penta19]] – 19-tone mega-chromatic scale
 
EDOs: {{EDOs|17, 20, 37, 57, 94, 225, 319cd, 413bcd}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.4043 cents
 
[[File:bossier_225edo.jpg|alt=bossier_225edo.jpg|bossier_225edo.jpg]]
 
[[bossier8|Eight note albitonic scale]]
 
[[bossier11|Eleven note chromatic scale]]
 
[[bossier14|Fourteen note mega chromatic scale]]
 
== Penta (aka Mechanism) ==
Subgroup: 2.9.7.11
 
Commas: 896/891, 26411/26244
 
Svalname: 8&amp;11
 
[[Tp_tuning|POT2 generator]]: ~9/7 = 438.465
 
[[Gencom|Gencom]]: [2 9/7; 896/891 26411/26244]
 
Gencom mapping: [&lt;1 5/2 0 5 2|, &lt;0 -5/2 0 -6 4|]
 
Mapping: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]
 
EDOs: {{EDOs|8, 11, 30, 41, 52}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.4262 cents
 
[[penta5|Five note haplotonic scale]]
 
[[penta8|Eight note albitonic scale]]
 
[[penta11|Eleven note chromatic scale]]
 
[[penta19|Nineteen note mega chromatic scale]]


== Bluebirds ==
== Bluebirds ==
Subgroup: 2.11.13
{{See also| No-threes subgroup temperaments #Bluebirds }}


Comma: 265837/262144
Scales:  
 
* [[Bluebirds6]] – 6-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~143/128 = 182.368
* [[Bluebirds7]] – 7-tone albitonic scale
 
* [[Bluebirds13]] – 13-tone chromatic scale
Gencom: [2 143/128; 265837/262144]
 
Gencom mapping: [&lt;1 0 0 0 3 4|, &lt;0 0 0 0 3 -2|]
 
Mapping: [&lt;1 0 6|, &lt;0 3 -2|]
 
EDOs: {{EDOs|6, 7, 13, 33, 46, 79, 125c, 204bc, 329bc}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.4444 cents
 
[[bluebirds6|Six note haplotonic scale]]
 
[[bluebirds7|Seven note albitonic scale]]
 
[[bluebirds13|Thirteen note chromatic scale]]


== Marveltri ==
== Marveltri ==
Subgroup: 2.5.9/7
{{See also| Subgroup temperaments #Marveltri }}


Comma: 225/224
Scales:  
 
* [[Marveltri7]] – 7-tone albitonic scale
Sval name: 3&amp;13
* [[Marveltri10]] – 10-tone chromatic scale
 
* [[Marveltri13]] – 13-tone mega-chromatic scale
Related temperaments: marvel, 22&amp;47, magic
 
[[Tp_tuning|POT2 generator]]: ~5/4 = 383.638
 
[[Gencom|Gencom]]: [2 5/4; 225/224]
 
Gencom mapping: [&lt;1 2/5 2 -1/5|, &lt;0 -4/5 1 2/5|]
 
Mapping: [&lt;1 0 5|, &lt;0 1 -2|]
 
EDOs: {{EDOs|12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.4801 cents
 
[[marveltri7|Seven note albitonic scale]]
 
[[marveltri10|Ten note chromatic scale]]
 
[[marveltri13|Thirteen note mega chromatic scale]]


== Edson ==
== Edson ==
Subgroup: 2.3.7/5.11/5.13/5
{{See also| Subgroup temperaments #Edson }}


Commas: 196/195, 352/351, 364/363
Scales:  
 
* [[Edson5]] – 5-tone haplotonic scale
Related temperaments: [[Hemifamity_family#Pele|pele]], cassandra
* [[Edson7]] – 7-tone albitonic scale
 
* [[Edson12]] – 12-tone chromatic scale
[[Tp_tuning|POT2 generator]]: ~3/2 = 703.414
* [[Edson17]] – 17-tone mega-chromatic scale
 
[[Gencom|Gencom]]: [2 3/2; 196/195, 352/351, 364/363]
 
Gencom mapping: [&lt;1 1 -5 -1 2 4|, &lt;0 1 29/4 5/4 -11/4 -23/4|]
 
Mapping: [&lt;1 0 10 17 22|, &lt;0 1 -6 -10 -13|]
 
EDOs: {{EDOs|12, 17, 29, 621bcde}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5102 cents
 
[[edson5|Five note haplotonic scale]]
 
[[edson7|Seven note albitonic scale]]
 
[[edson12|Twelve note chromatic scale]]
 
[[edson17|Seventeen note mega chromatic scale]]


== Photia ==
== Photia ==
Subgroup: 2.3.5.17.19
{{See also| Schismatic family #Photia (2.3.5.17) }}


Commas: 171/170, 256/255, 324/323
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]


Sval name: 12&amp;41
Scales:  
 
* [[Photia7]] – 7-tone albitonic scale
Related temperament: [[Schismatic_family|schismatic]]
* [[Photia12]] – 12-tone chromatic scale
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 701.470
 
[[Gencom|Gencom]]: [2 3/2; 171/170 256/255 324/323]
 
Gencom mapping: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 7 -3|]
 
Mapping: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
 
EDOs: {{EDOs|7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5374 cents
 
[[File:photia_65edo.png|alt=photia_65edo.png|photia_65edo.png]]
 
[[photia7|Seven note albitonic scale]]
 
[[photia12|Twelve note chromatic scale]]
 
== Shoe ==
Subgroup: 2.5.7.11.13
 
Commas: 176/175, 640/637, 847/845
 
Sval name: 16&amp;21
 
[[Tp_tuning|POT2 generator]]: ~8/7 = 227.108
 
[[Gencom|Gencom]]: [2 8/7; 176/175 640/637 847/845]
 
Gencom mapping: [&lt;1 0 1 3 1 2|, &lt;0 0 7 -1 13 9|]


Mapping: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]
== Shoe a.k.a. llywelyn ==
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}


EDOs: {{EDOs|16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce}}
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]


[[Tp_tuning#T2 tuning|RMS error]]: 0.5433 cents
Scales:
 
* [[Shoe5]] – 5-tone mini-haplotonic scale
[[File:shoe_37edo.jpg|alt=shoe_37edo.jpg|shoe_37edo.jpg]]
* [[Shoe6]] – 6-tone haplotonic scale
 
* [[Shoe11]] – 11-tone albitonic scale
[[shoe5|shoe5]] - five note mini [[haplotonic_scale|haplotonic scale]]
* [[Shoe16]] – 16-tone chromatic scale
 
[[shoe6|shoe6]] - six note [[haplotonic_scale|haplotonic scale]]
 
[[shoe11|shoe11]] - eleven note note [[albitonic_scale|albitonic scale]]
 
[[shoe16|shoe16]] - sixteen note [[chromatic_scale|chromatic scale]]


== Roulette ==
== Roulette ==
Subgroup: 2.5.7.11.13
{{See also | Hemimean clan #Roulette }}


Commas: 176/175, 1375/1372, 640/637
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]


Sval name: 6&amp;25
Scales:  
 
* [[Roulette6]] – 6-tone haplotonic scale
Related temperament: [[Würschmidt_family|Hemiwürschmidt]]
* [[Roulette7]] – 7-tone albitonic scale
 
* [[Roulette13]] – 13-tone chromatic scale
[[Tp_tuning|POT2 generator]]: ~28/25 = 194.594
* [[Roulette19]] – 19-tone mega-chromatic scale
 
[[Gencom|Gencom]]: [2 28/25; 176/175 1375/1372 640/637]
 
Gencom mapping: [&lt;1 0 2 2 2 5|, &lt;0 0 2 5 9 -8|]
 
Mapping: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]
 
EDOs: {{EDOs|6, 7, 13, 19, 25, 31, 37}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5567 cents
 
[[File:roulette_37edo.jpg|alt=roulette_37edo.jpg|roulette_37edo.jpg]]
 
[[roulette6|roulette6]] - six note [[haplotonic_scale|haplotonic scale]]
 
[[roulette7|roulette7]] - seven note [[albitonic_scale|albitonic scale]]
 
[[roulette13|roulette13]] - thirteen note [[chromatic_scale|chromatic scale]]
 
[[roulette19|roulette19]] - nineteen note [[mega_chromatic_scale|mega chromatic scale]]


== Silver ==
== Silver ==
Subgroup: 2.5.7.13.17
{{See also | No-threes subgroup temperaments #Silver }}


Commas: 170/169, 640/637, 5525/5488
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]


Sval name: 10&amp;27
Scales:  
 
* [[Silver7]] – 7-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~13/8 = 842.711
* [[Silver10]] – 10-tone albitonic scale
 
* [[Silver17]] – 17-tone chromatic scale
[[Gencom|Gencom]]: [2 13/8; 170/169 640/637 5525/5488]
 
Gencom mapping: [&lt;1 0 -4 0 0 3 9|, &lt;0 0 9 4 0 1 -7|]
 
Mapping: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]
 
EDOs: {{EDOs|7, 10, 17, 27, 37, 47, 84, 131, 178e, 309cde, 487bcdee}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5886 cents
 
[[File:silver_487edo.jpg|alt=silver_487edo.jpg|silver_487edo.jpg]]
 
[[silver7|silver7]] -seven note [[haplotonic_scale|haplotonic scale]]
 
[[silver10|silver10]] - ten note [[albitonic_scale|albitonic scale]]
 
[[silver17|silver17]] - seventeen note [[chromatic_scale|chromatic scale]]


== Baldy ==
== Baldy ==
Subgroup: 2.9.5.7.13
{{See also| Subgroup temperaments #Baldy }}
 
Commas: 225/224, 325/324, 640/637
 
Sval name: 6&amp;35
 
Related temperament: [[Schismatic_family|Garibaldi]]
 
[[Tp_tuning|POT2 generator]]: ~9/8 = 204.090


[[Gencom|Gencom]]: [2 9/8; 225/224 325/324 640/637]
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]


Gencom mapping: [&lt;1 3/2 3 4 0 2|, &lt;0 1/2 -4 -7 0 10|]
Scales
* [[Baldy6]] – 6-tone haplotonic scale
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


Mapping: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]
EDOs: {{EDOs|6, 11, 17, 23, 29, 35, 41, 47, 100, 147, 488cd, 635cd}}
[[Tp_tuning#T2 tuning|RMS error]]: 0.5999 cents
[[File:baldy_147edo.jpg|alt=baldy_147edo.jpg|baldy_147edo.jpg]]
[[baldy6|baldy6]] - six note [[haplotonic_scale|haplotonic scale]]
[[baldy11|baldy11]] - eleven note [[albitonic_scale|albitonic scale]]
[[baldy17|baldy17]] - seventeen note [[chromatic_scale|chromatic scale]]


== Guanyintet ==
== Guanyintet ==
Subgroup: 2.5.7/3.11/3
{{See also | Subgroup temperaments #Guanyintet }}


Commas: 176/175, 540/539
Scales:  
 
* [[Guanyintet5]] – 5-tone haplotonic scale
Svalname: 4&amp;9
* [[Guanyintet9]] – 9-tone albitonic scale
 
* [[Guanyintet13]] – 13-tone chromatic scale
Related temperaments: guanyin, orwell
 
[[Tp_tuning|POT2 generator]]: ~7/6 = 270.093
 
[[Gencom|Gencom]]: [2 7/6; 176/175 540/539]
 
Gencom mapping: [&lt;1 -4/3 3 -1/3 5/3|, &lt;0 4/3 -3 7/3 -11/3|]
 
Mapping: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]
 
EDOs: {{EDOs|9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.6028 cents
 
[[guanyintet5|Five note haplotonic scale]]
 
[[guanyintet9|Nine note albitonic scale]]
 
[[guanyintet13|Thirteen note chromatic scale]]


== Radon ==
== Radon ==
Subgroup: 2.3.7.11
{{See also| Gamelismic clan #Radon }}
 
Commas: 896/891, 1029/1024
 
Sval name: 5&amp;36
 
Related temperament: [[Gamelismic_clan|Rodan]]
 
[[Tp_tuning|POT2 generator]]: ~8/7 = 234.381
 
[[Gencom|Gencom]]: [2 8/7; 896/891 1029/1024]
 
Gencom mapping: [&lt;1 1 0 3 6|, &lt;0 3 0 -1 -13|]
 
Mapping: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
 
{{EDOs|legend=1| 5, 36, 41, 87, 128}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.6502 cents
 
[[File:radon_128edo.jpg|alt=radon_128edo.jpg|radon_128edo.jpg]]
 
[[radon5|Five note haplotonic scale]]


[[radon11|Eleven note albitonic scale]]
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]


[[radon16|Sixteen note chromatic scale]]
* [[Radon5]] – 5-tone haplotonic scale
* [[Radon11]] – 11-tone albitonic scale
* [[Radon16]] – 16-tone chromatic scale


== Gariberttet ==
== Gariberttet ==
Subgroup: 2.5/3.7/3.13/11
{{See also | Subgroup temperaments #Gariberttet }}


Commas: 275/273, 847/845
Scales:  
 
* [[Gariberttet5]] – 5-tone haplotonic scale
Svalname: 4&amp;29
* [[Gariberttet9]] – 9-tone albitonic scale
 
* [[Gariberttet13]] – 13-tone chromatic scale
[[Tp_tuning|POT2 generator]]: ~13/11 = 293.679
 
[[Gencom|Gencom]]: [2 13/11; 275/273 847/845]
 
Gencom mapping: [&lt;1 0 0 0 0 0|, &lt;0 -8/3 1/3 7/3 -1/2 1/2|]
 
Mapping: [&lt;1 0 0 0|, &lt;0 3 5 1|]
 
EDOs: {{EDOs|29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.6914 cents
 
[[gariberttet5|Five note haplotonic scale]]
 
[[gariberttet9|Nine note albitonic scale]]
 
[[gariberttet13|Thirteen note chromatic scale]]


== Namo ==
== Namo ==
Subgroup: 2.3.11.13
{{See also| Rastmic clan #Namo }}


Commas: 144/143, 243/242
Scales:  
 
* [[Namo7]] – 7-tone haplotonic scale
Related temperament: [[Valinorismic_temperaments#Mandos|mandos]], mohajira, hemif
* [[Namo10]] – 10-tone albitonic scale
 
* [[Namo17]] – 17-tone chromatic scale
[[Tp_tuning|POT2 generator]]: ~11/9 = 351.488
 
[[Gencom|Gencom]]: [2 11/9; 144/143 243/242]
 
Gencom mapping: [&lt;1 1 0 0 2 4|, &lt;0 2 0 0 5 -1|]
 
Mapping: [&lt;1 1 2 4|, &lt;0 2 5 -1|]
 
EDOs: {{EDOs|7, 10, 17, 41, 58, 99cd}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7038 cents
 
[[namo7|Seven note haplotonic scale]]
 
[[namo10|Ten note albitonic scale]]
 
[[namo17|Seventeen note chromatic scale]]


== Sentry ==
== Sentry ==
Subgroup: 2.5/3.9/7
{{See also | Subgroup temperaments #Sentry }}


Commas: 245/243
Scales:  
 
* [[Sentry5]] – 5-tone haplotonic scale
Svalname: 3&amp;5
* [[Sentry8]] – 8-tone albitonic scale
 
* [[Sentry11]] – 11-tone chromatic scale
Related temperaments: sensi
 
[[Tp_tuning|POT2 generator]]: ~9/7 = 440.902
 
[[Gencom|Gencom]]: [2 9/7; 245/243]
 
Gencom mapping: [&lt;1 0 0 0|, &lt;0 0 2 -1|]
 
Mapping: [&lt;1 0 0|, &lt;0 2 1|]
 
EDOs: {{EDOs|8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7105 cents
 
[[sentry5|Five note haplotonic scale]]
 
[[sentry8|Eight note albitonic scale]]
 
[[sentry11|Eleven note note chromatic scale]]


== Hemif ==
== Hemif ==
Subgroup: 2.3.7.11.13
{{See also| No-fives subgroup temperaments #Hemif }}


Commas: 144/143, 243/242, 364/363
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]


Related temperament: [[Breedsmic_temperaments|Hemififths]], namo
Scales:  
 
* [[Hemif7]] – 7-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~11/9 = 351.691
* [[Hemif10]] – 10-tone albitonic scale
 
* [[Hemif17]] – 17-tone chromatic scale
[[Gencom|Gencom]]: [2 11/9; 144/143 243/242 364/363]
 
Gencom mapping: [&lt;1 1 0 -1 2 4|, &lt;0 2 0 13 5 -1|]
 
Mapping: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
 
EDOs: {{EDOs|7, 10, 17, 24, 41, 58}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7167 cents
 
[[File:hemif_58edo.jpg|alt=hemif_58edo.jpg|hemif_58edo.jpg]]
 
[[hemif7|Seven note haplotonic scale]]
 
[[hemif10|Ten note albitonic scale]]
 
[[hemif17|Seventeen note chromatic scale]]


== Garibaldi ==
== Garibaldi ==
Line 885: Line 326:


Scales:  
Scales:  
* [[Garibaldi12]] – 12-tone [[albitonic scale]]
* [[Garibaldi12]] – 12-tone albitonic scale
* [[Garibaldi17]] – 17-tone [[chromatic scale]]
* [[Garibaldi17]] – 17-tone chromatic scale


== Mabila ==
== Mabilic ==
Subgroup: 2.5.7
{{See also| No-threes subgroup temperaments #Mabilic }}


Comma: 1071875/1048576
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]


Sval name: 7&amp;9
Scales:  
 
* [[Mabilic7]] – 7-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~175/128 = 527.236
* [[Mabilic9]] – 9-tone albitonic scale
 
* [[Mabilic16]] – 16-tone chromatic scale
[[Gencom|Gencom]]: [2 175/128; 1071875/1048576]
 
Gencom mapping: [&lt;1 0 1 5}, &lt;0, 0, 3, -5|]
 
Mapping: [&lt;1 1 5|, &lt;0 3 -5|]
 
EDOs: {{EDOs|7, 9, 16, 25, 41, 66, 305bc}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7729 cents
 
[[File:mabila_66edo.jpg|alt=mabila_66edo.jpg|mabila_66edo.jpg]]
 
[[mabila7|Seven note haplotonic scale]]
 
[[mabila9|Nine note albitonic scale]]
 
[[mabila16|Sixteen note chromatic scale]]


== Indium ==
== Indium ==
Subgroup: 2.5/3.7/3.11/3
{{See also | Subgroup temperaments #Indium }}


Commas: 3025/3024, 3125/3087
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]


Sval name: 8&amp;33
Scales:  
 
* [[Indium8]] – 8-tone albitonic scale
[[Tp_tuning|POT2 generator]]: ~12/11 = 147.010
* [[Indium17]] – 17-tone chromatic scale
 
[[Gencom|Gencom]]: [2 12/11; 3025/3024 3125/3087]
 
Gencom mapping: [&lt;1 -1/2 -1/2 -1/2 3/2|, &lt;0 -15/4 9/4 25/4 -19/4|]
 
Mapping: [&lt;1 0 0 2|, &lt;0 6 10 -1|]
 
EDOs: {{EDOs|33, 41, 49, 57, 106, 204, 253}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7788 cents
 
[[File:indium_253edo.png|alt=indium_253edo.png|indium_253edo.png]]
 
[[indium8|Eight note albitonic scale]]
 
[[indium17|Seventeen note chromatic scale]]


=== Music ===
; Music
<span style=""><span style="">[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 The Cry of Indium]</span></span> (in Indium 17) by [http://www.chrisvaisvil.com/ Chris Vaisvil] =&gt; [http://chrisvaisvil.com/?p=1532 details]
* ''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]


== Starlingtet ==
== Starlingtet ==
Subgroup: 2.5/3.7/3
{{See also | Subgroup temperaments #Starlingtet }}


Comma: 126/125
Scales:  
 
* [[Starlingtet4]] – 4-tone haplotonic scale
Svalname: 4&amp;15
* [[Starlingtet7]] – 7-tone albitonic scale
 
* [[Starlingtet11]] – 11-tone chromatic scale
Related temperaments: starling; becomes myna
 
[[Tp_tuning|POT2 generator]]: ~6/5 = 311.154
 
[[Gencom|Gencom]]: [2 6/5; 126/125]
 
Gencom mapping: [&lt;1 -1 0 1|, &lt;0 4/3 1/3 -5/3|]
 
Mapping: [&lt;1 0 -1|, &lt;0 1 3|]
 
EDOs: {{EDOs|15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.8398 cents
 
[[starlingtet4|Four note haplotonic scale]]
 
[[starlingtet7|Seven note albitonic scale]]
 
[[starlingtet11|Eleven note chromatic scale]]


== Lovecraft ==
== Lovecraft ==
Subgroup: 2.11.13
{{See also | No-threes subgroup temperaments #Lovecraft }}


Commas: 1352/1331
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]


[[Tp_tuning|POT2 generator]]: ~13/11 = 279.318
Scales:  
 
* [[Lovecraft5]] – 5-tone haplotonic scale
[[Gencom|Gencom]]: [2 13/11; 1352/1331]
* [[Lovecraft9]] – 9-tone albitonic scale
 
* [[Lovecraft13]] – 13-tone chromatic scale
Gencom mapping: [&lt;1 0 0 0 3 3|, &lt;0 0 0 0 2 3|]
 
Mapping: [&lt;1 1 0|, &lt;0 2 3|]
 
EDOS: {{EDOs|13, 30, 43, 73, 116b}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.8449 cents
 
[[File:lovecraft_116edo.png|alt=lovecraft_116edo.png|lovecraft_116edo.png]]
 
[[lovecraft5|Five note haplotonic scale]]
 
[[lovecraft9|Nine note albitonic scale]]
 
[[lovecraft13|Thirteen note chromatic scale]]


== Blackbirds ==
== Blackbirds ==
Subgroup: 2.11.13
{{See also | No-threes subgroup temperaments #Blackbirds }}


Comma: 29282/28561
Scales:  
 
* [[Blackbirds8]] – 8-tone albitonic scale
[[Tp_tuning|POT2 generator]]: ~11/8 = 546.660
* [[Blackbirds12]] – 12-tone chromatic scale
 
* [[Blackbirds16]] – 16-tone mega-chromatic scale
Gencom: [13/11 11/8; 29282/28561]
 
Gencom mapping: [&lt;4 0 0 0 12 13|, &lt;0 0 0 0 1 1|]
 
Mapping: [&lt;4 0 1|, &lt;0 1 1|]
 
EDOs: {{EDOs|4, 16, 20, 24, 44, 68, 112c, 180bc}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.8685 cents
 
[[blackbirds8|Eight note albitonic scale]]
 
[[blackbirds12|Twelve note chromatic scale]]
 
[[blackbirds16|Sixteen note mega chromatic scale]]


== Laz ==
== Laz ==
Subgroup: 2.5.7/3.11/3.13/3
{{See also | Subgroup temperaments #Laz }}


Commas: 144/143, 176/175, 196/195
Scales:  
 
* [[Laz5]] – 5-tone haplotonic scale
Related temperaments: [[Orwellismic_family#Guanyin-Georgian|georgian]], winston
* [[Laz9]] – 9-tone albitonic scale
 
* [[Laz13]] – 13-tone chromatic scale
[[Tp_tuning|POT2 generator]]: ~7/6 = 269.300
 
[[Gencom|Gencom]]: [2 7/6; 144/143 176/175 196/195]
 
Gencom mapping: [&lt;1 -5/4 3 -1/4 7/4 -1/4|, &lt;0 -1/4 -3 3/4 -21/4 19/4|]
 
Mapping: [&lt;1 0 2 -2 6|, &lt;0 3 -1 5 -5|]
 
EDOs: {{EDOs|9, 31, 40, 49, 58, 156bde, 205bde}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.8790 cents
 
[[laz5|Five note haplotonic scale]]
 
[[laz9|Nine note albitonic scale]]
 
[[laz13|Thirteen note chromatic scale]]


== Myna ==
== Myna ==
Line 1,050: Line 392:


Scales:  
Scales:  
* [[Myna7]] – 7-tone [[haplotonic scale]]
* [[Myna7]] – 7-tone haplotonic scale
* [[Myna11]] – 11-tone [[albitonic scale]]
* [[Myna11]] – 11-tone albitonic scale
* [[Myna15]] – 15-tone [[chromatic scale]]
* [[Myna15]] – 15-tone chromatic scale


== Greeley ==
== Greeley ==
Subgroup: 2.5/3.7/3.11/3
{{See also| Subgroup temperaments #Greeley }}


Commas: 121/120, 126/125
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]


Related temperament: [[Porcupine_family#Opossum|Opossum]], [[Starling_temperaments#Nusecond temperament|Nusecond]]
Scales:  
* [[Greeley8]] – 8-tone albitonic scale
* [[Greeley15]] – 15-tone chromatic scale


[[Tp_tuning|POT2 generator]]: ~11/10 = 155.776
; Music
* ''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]


[[Gencom|Gencom]]: [2 11/10; 121/120 126/125]
== Ammon ==
{{See also| Subgroup temperaments #Ammon }}


Gencom mapping: &lt;1 -5/4 -1/4 3/4 3/4|, &lt;0 9/4 1/4 -15/4 5/4|]
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]


Mapping: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
Scales:  
 
* [[Ammon8]] – 8-tone albitonic scale
EDOs: {{EDOs|8, 15, 23, 54, 77, 100, 131d, 208bd}}
* [[Ammon13]] – 13-tone chromatic scale
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.034 cents
 
[[File:greeley_100edo.png|alt=greeley_100edo.png|greeley_100edo.png]]
 
[[greeley8|Eight note albitonic scale]]
 
[[greeley15|Fifteen note chromatic scale]]
 
=== Music ===
<span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 A Greeley Steals Halloween]</span></span> by [http://chrisvaisvil.com/?p=1485 Chris Vaisvil] in Greeley 15
 
== Semidim ==
Subgroup: 2.5/3.7/3.11/3.13/3
 
Commas: 121/120, 169/168, 275/273
 
Sval name: 8&amp;29
 
[[Tp_tuning|POT2 generator]]: ~13/10 = 453.242
 
[[Gencom|Gencom]]: [2 13/10; 121/120 169/168 275/273]
 
Gencom mapping: [&lt;1 -3 0 2 0 1|, &lt;0 24/5 -6/5 -26/5 9/5 -1/5|]
 
Mapping: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
 
EDOs: {{EDOs|5, 8, 13, 21, 29, 37, 44, 45, 188bde}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.052 cents
 
[[File:semidim_770edo.png|alt=semidim_770edo.png|semidim_770edo.png]]
 
[[semidim8|Eight note albitonic scale]]
 
[[semidim13|Thirteen note chromatic scale]]


== Mothwelltri ==
== Mothwelltri ==
Subgroup: 2.7/3.11
{{See also| Subgroup temperaments #Mothwelltri }}


Comma: 99/98
Scales:  
 
* [[Mothwelltri5]] – 5-tone haplotonic scale
Svalname: 1&amp;4
* [[Mothwelltri9]] – 9-tone albitonic scale
 
* [[Mothwelltri13]] – 13-tone chromatic scale
Related temperament: Orwell
 
[[Tp_tuning|POT2 generator]]: ~7/6 = 273.174
 
[[Gencom|Gencom]]: [2 7/6; 99/98]
 
Gencom mapping: [&lt;1 -1/2 0 1/2 3|, &lt;0 -1/2 0 1/2 2|]
 
Mapping: [&lt;1 0 1|, &lt;0 1 2|]
 
EDOs: {{EDOs|9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.064 cents
 
[[mothwelltri5|Five note haplotonic scale]]
 
[[mothwelltri9|Nine note albitonic scale]]
 
[[mothwelltri13|Thirteen note chromatic scale]]


== Sulis ==
== Sulis ==
Subgroup: 2.5.9/7.11/9
{{See also| Subgroup temperaments #Sulis }}


Commas: 99/98, 176/175
Scales:  
 
* [[Sulis7]] – 7-tone haplotonic scale
Related temperament: [[Marvel_family#Minerva|minerva]], würschmidt
* [[Sulis10]] – 10-tone albitonic scale
 
* [[Sulis13]] – 13-tone chromatic scale
[[Tp_tuning|POT2 generator]]: ~5/4 = 386.558
 
[[Gencom|Gencom]]: [2 5/4; 99/98 176/175]
 
Gencom mapping: [&lt;1 4/9 2 -1/9 -1/9|, &lt;0 -4/3 1 -2/3 4/3|]
 
Mapping: [&lt;1 0 5 -9|, &lt;0 1 -2 4|]
 
EDOs: {{EDOs|22, 25, 28, 31, 59, 90c, 149c}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.074 cents
 
[[sulis7|Seven note haplotonic scale]]
 
[[sulis10|Ten note albitonic scale]]
 
[[sulis13|Thirteen note chromatic scale]]


== Skwares ==
== Skwares ==
Subgroup: 2.3.7.11
{{Main| Squares }}
{{See also| No-fives subgroup temperaments #Skwares }}


Commas: 99/98, 243/242
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]


Related temperament: [[Meantone_family|squares]]
Scales:  
 
* [[Skwares8]] – 8-tone albitonic scale
[[Tp_tuning|POT2 generator]]: ~9/7 = 425.244
* [[Skwares11]] – 11-tone mega-albitonic scale
 
* [[Skwares14]] – 14-tone chromatic scale
[[Gencom|Gencom]]: [2 9/7; 99/98 243/242]
 
Gencom mapping: [&lt;1 3 0 6 7|, &lt;0 -4 0 -9 -10|]
 
Mapping: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
 
EDOs: {{EDOs|5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.099 cents
 
[[File:skwares_206edo.png|alt=skwares_206edo.png|skwares_206edo.png]]
 
[[skwares8|Eight note albitonic scale]]
 
[[skwares11|Eleven note mega albitonic scale]]
 
[[skwares14|Fourteen note chromatic scale]]


== Orwell ==
== Orwell ==
Line 1,193: Line 451:


Scales:  
Scales:  
* [[Orwell5]] – 5-tone [[haplotonic scale]]
* [[Orwell5]] – 5-tone haplotonic scale
* [[Orwell9]] – 9-tone [[albitonic scale]]
* [[Orwell9]] – 9-tone albitonic scale
* [[Orwell13]] – 13-tone [[chromatic scale]]
* [[Orwell13]] – 13-tone chromatic scale


== Magicaltet ==
== Magicaltet ==
Subgroup: 2.5/3.7.11
{{See also| Subgroup temperaments #Magicaltet }}


Commas: 100/99, 385/384
Scales:  
 
* [[Magicaltet7]] – 7-tone albitonic scale
Related temperaments: 4&amp;7&amp;15, superkleismic, magic
* [[Magicaltet11]] – 11-tone chromatic scale
 
* [[Magicaltet15]] – 15-tone mega-chromatic scale
[[Tp_tuning|POT2 generator]]: ~6/5 = 322.659
 
[[Gencom|Gencom]]: [2 6/5; 100/99 385/384]
 
Gencom mapping: [&lt;1 -1/2 1/2 2 4|, &lt;0 1/2 -1/2 3 -2|]
 
Mapping: [&lt;1 0 5 2|, &lt;0 1 -3 2|]
 
EDOs: {{EDOs|11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.206 cents
 
[[magicaltet7|Seven note albitonic scale]]
 
[[magicaltet11|Eleven note chromatic scale]]
 
[[magicaltet15|Fifteen note mega scale]]


== Magic ==
== Magic ==
Line 1,229: Line 470:


Scales:  
Scales:  
* [[Magic7]] – 7-tone [[haplotonic scale]]
* [[Magic7]] – 7-tone haplotonic scale
* [[Magic10]] – 10-tone [[albitonic scale]]
* [[Magic10]] – 10-tone albitonic scale
* [[Magic13]] – 13-tone [[chromatic scale]]
* [[Magic13]] – 13-tone chromatic scale
* [[Magic16]] – 16-tone [[mega-chromatic scale]]
* [[Magic16]] – 16-tone mega-chromatic scale


== Kiribati ==
== Kiribati ==
Subgroup: 2.9/5.7/3.11/9
{{See also| Subgroup temperaments #Kiribati }}


Commas: 100/99, 245/242
Scales:  
 
* [[Kiribati13]] – 13-tone chromatic scale
Related temperament: [[Octagar_family|nakika]], octacot
* [[Kiribati14]] – 14-tone chromatic scale
 
[[Tp_tuning|POT2 generator]]: ~21/20 = 87.892
 
[[Gencom|Gencom]]: [2 21/20; 100/99 245/242]
 
Gencom mapping: [&lt;1 1/10 -4/5 11/10 1/5|, &lt;0 -3/2 -1 3/2 1|]
 
Mapping: [&lt;1 1 1 0|, &lt;0 -2 3 4|]
 
EDOs: {{EDOs|13, 14, 27, 41, 55, 191bd, 232bcd, 273bcd}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.245 cents
 
[[kiribati13|Thirteen note chromatic scale]]
 
[[kiribati14|Fourteen note chromatic scale]]


== Score ==
== Score ==
Subgroup: 2.7.11.13
{{See also|No-threes subgroup temperaments #Score }}


Commas: 343/338, 847/832
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]


[[Tp_tuning|POT2 generator]]: ~11/8 = 540.099
Scales:  
 
* [[Score5]] – 5-tone haplotonic scale
[[Gencom|Gencom]]: [2 11/8; 343/338 847/832]
* [[Score7]] – 7-tone albitonic scale
 
* [[Score9]] – 9-tone mega-albitonic scale
Gencom mapping: [&lt;1 0 0 1 3 1|, &lt;0 0 0 4 1 6|]
* [[Score11]] – 11-tone chromatic scale
 
Mapping: [&lt;1 1 3 1|, &lt;0 4 1 6|]
 
EDOs: {{EDOs|5, 7, 9, 11, 20}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.282 cents
 
[[File:score_20edo.jpg|alt=score_20edo.jpg|score_20edo.jpg]]
 
[[score5|Five note haplotonic scale]]
 
[[score7|Seven note albitonic scale]]
 
[[score9|Nine note mega albitonic scale]]
 
[[score11|Eleven note chromatic scale]]


== Sensi ==
== Sensi ==
{{Main| Sensi }}
{{Main| Sensi }}
{{See also| Sensamagic clan #Sensi }}
{{See also| Sensipent family #Sensi }}
{{See also| Sensipent family #Sensi }}


Line 1,292: Line 500:


Scales:  
Scales:  
* [[Sensi5]] – 5-tone [[haplotonic scale]]
* [[Sensi5]] – 5-tone haplotonic scale
* [[Sensi8]] – 8-tone [[albitonic scale]]
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone [[mega-albitonic scale]]
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone [[chromatic scale]]
* [[Sensi19]] – 19-tone chromatic scale


=== Sensation ===
=== Sensation ===
{{Main| Sensi }}
{{Main| Sensi }}
{{See also| Sensamagic clan #Sensi }}
{{See also| Sensipent family #Sensi }}
{{See also| Sensipent family #Sensi }}


Scales:  
Scales:  
* [[Sensi5]] – 5-tone [[haplotonic scale]]
* [[Sensi5]] – 5-tone haplotonic scale
* [[Sensi8]] – 8-tone [[albitonic scale]]
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone [[mega-albitonic scale]]
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone [[chromatic scale]]
* [[Sensi19]] – 19-tone chromatic scale


== Meantone ==
== Meantone ==
Line 1,315: Line 522:


Scales:  
Scales:  
* [[Meantone5]] – 5-tone [[haplotonic scale]]
* [[Meantone5]] – 5-tone haplotonic scale
* [[Meantone7]] – 7-tone [[albitonic scale]]
* [[Meantone7]] – 7-tone albitonic scale
* [[Meantone12]] – 12-tone [[chromatic scale]]
* [[Meantone12]] – 12-tone chromatic scale


== Mohaha ==
== Mohaha ==
{{See also| Meantone family #Mohaha }}
{{See also| Rastmic clan #Mohaha }}


[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]


Scales:  
Scales:  
* [[Mohaha7]] – 7-tone [[albitonic scale]]
* [[Mohaha7]] – 7-tone albitonic scale
* [[Mohaha10]] – 10-tone [[chromatic scale]]
* [[Mohaha10]] – 10-tone chromatic scale


Music:  
Music:  
Line 1,333: Line 540:


=== Mohoho ===
=== Mohoho ===
{{See also| Meantone family #Mohoho }}
{{See also| Rastmic clan #Mohoho }}


== Joan ==
== Joan ==
Subgroup: 2.9.7.11
{{See also| Subgroup temperaments #Joan }}


Commas: 99/98, 9317/9216
Scales:  
 
* [[Joan5]] – 5-tone haplotonic scale
Related temperaments: casablanca, orwell
* [[Joan7]] – 7-tone albitonic scale
 
* [[Joan9]] – 9-tone mega-albitonic scale
[[Tp_tuning|POT2 generator]]: ~11/8 = 542.672 cents
* [[Joan11]] – 11-tone chromatic scale
 
Gencom: [2 11/8; 99/98 9317/9216]
 
Gencom mapping: [&lt;1 0 0 1 3|, &lt;0 7/2 0 4 1|]
 
Mapping: [&lt;1 0 1 3|, &lt;0 7 4 1|]
 
EDOs: {{EDOs|11, 20, 31, 42, 115bd, 157bd}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.424 cents
 
[[joan5|Five note haplotonic scale]]
 
[[joan7|Seven note albitonic scale]]
 
[[joan9|Nine note mega albitonic scale]]
 
[[joan11|Eleven note chromatic scale]]


== Tutone ==
== Tutone ==
Line 1,368: Line 557:


Scales:  
Scales:  
* [[Tutone6]] – 6-tone [[haplotonic scale]]
* [[Tutone6]] – 6-tone haplotonic scale
* [[Tutone7]] – 7-tone [[albitonic scale]]
* [[Tutone7]] – 7-tone albitonic scale
* [[Tutone13]] – 13-tone [[chromatic scale]]
* [[Tutone13]] – 13-tone chromatic scale


== Stacks ==
== Stacks ==
Subgroup: 2.9.15.7.11.13
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}


Commas: 100/99, 105/104, 144/143, 196/195
Scales:  
 
* [[Stacks5]] – 5-tone haplotonic scale
Related temperament: [[Magic_family#Magic-13-limit|magic]]
* [[Stacks8]] – 8-tone albitonic scale
 
* [[Stacks11]] – 11-tone chromatic scale
Svalname: 11&amp;30
* [[Stacks19]] – 19-tone mega-chromatic scale
 
[[Tp_tuning|POT2 generator]]: ~9/7 = 439.146
 
[[Gencom|Gencom]]: [2 9/7; 100/99 105/104 144/143 196/195]
 
Gencom mapping: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|]
 
Mapping: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]
 
EDOs: {{EDOs|11, 30, 41, 153cdef, 194cdef, 235cdef}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.540 cents
 
[[stacks5|Five note haplotonic scale]]
 
[[stacks8|Eight note albitonic scale]]
 
[[stacks11|Eleven note note chromatic scale]]
 
[[stacks19|Nineteen note note mega chromatic scale]]


== Bleu ==
== Bleu ==
Subgroup: 2.3.7.11.13
{{See also| No-fives subgroup temperaments #Bleu }}


Commas: 78/77, 99/98, 144/143
Scales:  
 
* [[Bleu8]] – 8-tone haplotonic scale
Sval name: 9&amp;17
* [[Bleu9]] – 9-tone albitonic scale
 
* [[Bleu17]] – 17-tone chromatic scale
[[Tp_tuning|POL2 generator]]: ~13/12 = 139.990
 
[[Gencom|Gencom]]: [2 13/12; 78/77 99/98 144/143]
 
Gencom mapping: [&lt;1 1 0 2 3 3|, &lt;0 5 0 7 4 6|]
 
Mapping: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]
 
EDOs: [[17edo|17]], [[43edo|43]], [[60edo|60c]]
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.752 cents
 
[[File:blue_60edo.png|alt=blue_60edo.png|blue_60edo.png]]
 
[[bleu8|bleu8]] - Eight note [[haplotonic_scale|haplotonic scale]]
 
[[bleu9|bleu9]] - Nine note [[albitonic_scale|albitonic scale]]
 
[[bleu17|bleu17]] - Seventeen note [[chromatic_scale|chromatic scale]]
 
[http://micro.soonlabel.com/temperaments/Bleu/20131103_2-11-13-subgroup-Bleu17_a-well-worn-riff.mp3 On a Well Worn Riff (Bleu 17)] by [http://chrisvaisvil.com/on-a-well-worn-riff-bleu-17/ Chris Vaisvil]


== Sephiroth ==
== Sephiroth ==
Subgroup: 2.5.11.13.17
{{See also| No-threes subgroup temperaments #Sephiroth }}


Commas: 65/64, 170/169, 221/220
Scales:  
 
* [[Sephiroth7]] – 7-tone haplotonic scale
Related temperament: [[Muggles]]
* [[Sephiroth10]] – 10-tone albitonic scale
 
* [[Sephiroth13]] – 13-tone chromatic scale
[[Tp_tuning|POT2 generator]]: ~5/4 = 372.236
* [[Sephiroth16]] – 16-tone mega-chromatic scale
 
[[Gencom|Gencom]]: [2 5/4; 65/64 170/169 221/220]
 
Gencom mapping: [&lt;1 0 2 0 5 4 5|, &lt;0 0 1 0 -5 -1 -3|]
 
Mapping: [&lt;1 0 15 6 11|, &lt;0 1 -5 -1 -3|]
 
EDOs: {{EDOs|10, 13, 16, 29}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.774 cents
 
[[sephiroth7|Seven note haplotonic scale]]
 
[[sephiroth10|Ten note albitonic scale]]
 
[[sephiroth13|Thirteen note chromatic scale]]
 
[[sephiroth16|Sixteen note mega chromatic scale]]


== Archy ==
== Archy ==
Line 1,462: Line 592:


Scales:  
Scales:  
* [[Archy5|5-tone haplotonic scale]]
* [[Archy5]] – 5-tone haplotonic scale
* [[Archy7|7-tone albitonic scale]]
* [[Archy7]] – 7-tone albitonic scale
* [[Archy12|12-tone chromatic scale]]
* [[Archy12]] – 12-tone chromatic scale


=== Supra ===
=== Supra ===
Line 1,484: Line 614:


Scales:  
Scales:  
* [[Suhajira7]] – 7-tone [[haplotonic scale]]
* [[Suhajira7]] – 7-tone haplotonic scale
* [[Suhajira10]] – 10-tone [[albitonic scale]]
* [[Suhajira10]] – 10-tone albitonic scale
* [[Suhajira17]] – 17-tone [[chromatic scale]]
* [[Suhajira17]] – 17-tone chromatic scale


== Machine ==
== Machine ==
Subgroup: 2.9.7.11
{{See also| Subgroup temperaments #Machine}}


Commas: 64/63, 99/98
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]


[[Tp_tuning|POT2 generator]]: ~9/8 = 214.384
Scales:  
 
* [[Machine5]] – 5-tone haplotonic scale
[[Gencom|Gencom]]: [2 9/8; 64/63 99/98]
* [[Machine6]] – 6-tone albitonic scale
 
* [[Machine11]] – 11-tone chromatic scale
Gencom mapping: [&lt;1 3/2 0 3 4|, &lt;0 1/2 0 -1 -3|]
 
Mapping: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
 
EDOs: {{EDOs|5, 6, 11, 17, 28}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.977 cents
 
[[File:machine_28edo.png|alt=machine_28edo.png|machine_28edo.png]]
 
[[machine5|Five note haplotonic scale]]
 
[[machine6|Six note albitonic scale]]
 
[[machine11|Eleven note chromatic scale]]


== Deutone ==
== Deutone ==
Subgroup: 2.9.5.7.13
{{See also| Hemimean clan #Deutone }}


Commas: 65/64, 81/80, 91/90
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]


Related temperament: [[Meantone_family|meanpop]]
Scales:  
 
* [[Deutone6]] – 6-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~9/8 = 191.059
* [[Deutone7]] – 7-tone albitonic scale
 
* [[Deutone13]] – 13-tone chromatic scale
[[Gencom|Gencom]]: [2 9/8; 65/64 81/80 91/90]
 
Gencom mapping: [&lt;1 3/2 2 2 0 4|, &lt;0 1/2 2 5 0 -2|]
 
Mapping: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]
 
EDOs: {{EDOs|6, 7, 13, 19, 25e, 44de}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.003 cents
 
[[File:deutone_44edo.png|alt=deutone_44edo.png|deutone_44edo.png]]
 
[[deutone6|Six note haplotonic scale]]
 
[[deutone7|seven note albitonic scale]]
 
[[deutone13|Thirteen note chromatic scale]]


== Negra ==
== Negra ==
Line 1,549: Line 647:


Scales:  
Scales:  
* [[Porkypine7]] – 7-tone [[haplotonic scale]]
* [[Porkypine7]] – 7-tone haplotonic scale
* [[Porkypine8]] – 8-tone [[albitonic scale]]
* [[Porkypine8]] – 8-tone albitonic scale
* [[Porkypine15]] – 15-tone [[chromatic scale]]
* [[Porkypine15]] – 15-tone chromatic scale


== Skateboard ==
== Skateboard ==
Subgroup: 2.5/3.7/3.11.13/9
{{See also| Subgroup temperaments #Skateboard }}


Commas: 56/55, 91/90, 100/99
Scales:  
 
* [[Skateboard7]] – 7-tone haplotonic scale
Related temperament: [[Starling_family#Thrasher-13-limit|thrasher]]
* [[Skateboard11]] – 11-tone albitonic scale
 
* [[Skateboard15]] – 15-tone chromatic scale
[[Tp_tuning|POT2 generator]]: ~6/5 = 313.842
 
[[Gencom|Gencom]]: [2 6/5; 56/55 91/90 100/99]
 
Gencom mapping: [&lt;1 -3/7 4/7 11/7 4 -6/7|, &lt;0 0 -1 -3 -2 2|]
 
Mapping: [&lt;1 0 -1 2 2|, &lt;0 1 3 2 -2|]
 
EDOs: {{EDOs|11, 15, 19, 23, 42d, 65d}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.396 cents
 
[[skateboard7|Seven note haplotonic scale]]
 
[[skateboard11|Eleven note albitonic scale]]
 
[[skateboard15|Fifteen note chromatic scale]]


== Augment ==
== Augment ==
Subgroup: 2.5.7.11
{{See also| No-threes subgroup temperaments #Augment }}


Commas: 56/55, 128/125
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]


Related temperament: [[Augmented_family|augmented]]
Scales:  
 
* [[Augment6]] – 6-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~8/7 = 228.275
* [[Augment9]] – 9-tone albitonic scale
 
* [[Augment12]] – 12-tone chromatic scale
[[Gencom|Gencom]]: [5/4 8/7; 56/55 128/125]
 
Gencom mapping: [&lt;3 0 7 9 11|, &lt;0 0 0 -1 -1|]
 
Mapping: [&lt;3 7 0 2|, &lt;0 0 1 1|]
 
EDOs: {{EDOs|3, 6, 9, 15, 21}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.422 cents
 
[[File:augment_21edo.png|alt=augment_21edo.png|augment_21edo.png]]
 
[[augment6|Six note haplotonic scale]]
 
[[augment9|Nine note albitonic scale]]
 
[[augment12|Twelve note chromatic scale]]


== Semaphore ==
== Semaphore ==
{{Main| Semaphore and godzilla }}
{{Main| Semaphore and godzilla }}
{{See also| Slendro clan #Semaphore }}
{{See also| Semaphoresmic clan #Semaphore }}


[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]
[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]


Scales:  
Scales:  
* [[Semaphore5]] – 5-tone [[haplotonic scale]]
* [[Semaphore5]] – 5-tone haplotonic scale
* [[Semaphore9]] – 9-tone [[albitonic scale]]
* [[Semaphore9]] – 9-tone albitonic scale
* [[Semaphore14]] – 14-tone [[chromatic scale]]
* [[Semaphore14]] – 14-tone chromatic scale


== Kryptonite ==
== Kryptonite ==
Subgroup: 2.5.7/3.11/3.13/3
{{See also| Subgroup temperaments #Kryptonite }}


Commas: 56/55, 78/77, 91/90
Scales:  
 
* [[Kryptonite9]] – 9-tone albitonic scale
Related temperaments: [[Sengic_family|krypton]]
* [[Kryptonite10]] – 10-tone albitonic scale
 
* [[Kryptonite19]] – 19-tone mega-chromatic scale
[[Tp_tuning|POT2 generator]]: ~13/12 = 132.428
 
[[Gencom|Gencom]]: [2 13/12; 56/55 78/77 91/90]
 
Gencom mapping: [&lt;1 -5/4 2 -1/4 3/4 3/4|, &lt;0 -1/2 3 3/2 -3/2 1/2|]
 
Mapping: [&lt;1 2 1 2 2|, &lt;0 -3 -2 1 -1|]
 
EDOs: {{EDOs|9, 63, 82bd, 91bde}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.545 cents
 
[[kryptonite9|Nine note albitonic scale]]
 
[[kryptonite10|Ten note albitonic scale]]
 
[[kryptonite19|Nineteen note mega chromatic scale]]


== Oregon ==
== Oregon ==
Subgroup: 2.9.15.7.11
{{See also| Orgonia #Oregon }}


Commas: 55/54, 64/63, 100/99
Scales:  
 
* [[Oregon7]] – 7-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~6/5 = 325.495
* [[Oregon11]] – 11-tone albitonic scale
 
* [[Oregon15]] – 15-tone chromatic scale
[[Gencom|Gencom]]: [2 6/5; 55/54 64/63 100/99]
 
Gencom mapping: [&lt;1 2 3 2 4|, &lt;0 -3/2 -5/2 3 -2|]
 
Mapping: [&lt;1 1 1 5 2|, &lt;0 3 4 -3 2|]
 
EDOs: {{EDOs|7, 11, 37b, 48b, 59b}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.550 cents
 
[[oregon7|Seven note haplotonic scale]]
 
[[oregon11|Eleven note albitonic scale]]
 
[[oregon15|Fifteen note chromatic scale]]


== Antikythera ==
== Antikythera ==
Subgroup: 2.9.5.7
{{See also| Jubilismic clan #Antikythera }}


Commas: 50/49, 64/63
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]


Related temperament: [[pajara|pajara]]
Scales:  
 
* [[Antikythera6]] – 6-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~8/7 = 214.095
* [[Antikythera10]] – 10-tone albitonic scale
 
* [[Antikythera16]] – 16-tone chromatic scale
[[Gencom|Gencom]]: [7/5 8/7; 50/49 64/63]
 
Gencom mapping: [&lt;2 3 5 6|, &lt;0 1/2 -1 -1|]
 
Mapping: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]
 
EDOS: {{EDOs|4, 6, 10, 16, 22, 28}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.572 cents
 
[[File:antikythera_28edo.png|alt=antikythera_28edo.png|antikythera_28edo.png]]
 
[[antikythera6|Six note haplotonic scale]]
 
[[antikythera10|Ten note albitonic scale]]
 
[[antikythera16|Sixteen note chromatic scale]]


== Glacial ==
== Glacial ==
Subgroup: 2.9.5.11.13
{{See also| Subgroup temperaments #Glacial }}


Commas: 45/44, 65/64, 81/80
Scales:  
 
* [[Glacial6]] – 6-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~9/8 = 186.151
* [[Glacial7]] – 7-tone albitonic scale
 
* [[Glacial13]] – 13-tone chromatic scale
[[Gencom|Gencom]]: [2 9/8; 45/44 65/64 81/80]
 
Gencom mapping: [&lt;1 3/2 2 0 3 4|, &lt;0 1/2 2 0 3 -2|]
 
Mapping: [&lt;1 0 -4 -6 10|, &lt;0 1 2 3 -2|]
 
EDOs: {{EDOs|6, 13, 45be, 58bce, 71bce, 84bce}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.887 cents
 
[[glacial6|Six note haplotonic scale]]
 
[[glacial7|Seven note albitonic scale]]
 
[[glacial13|Thirteen note chromatic scale]]


== Leantone ==
== Leantone ==
Subgroup: 2.9.5.7.11
{{See also| Hemimean clan #Leantone }}


Commas: 45/44, 56/55, 81/80
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]


Related temperament: [[Meanenneadecal|meanenneadecal]]
Scales:  
 
* [[Leantone6]] – 6-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~9/8 = 192.500
* [[Leantone7]] – 7-tone albitonic scale
 
* [[Leantone13]] – 13-tone chromatic scale
[[Gencom|Gencom]]: [2 9/8; 45/44 56/55 81/80]
 
Gencom mapping: [&lt;1 3/2 2 2 3|, &lt;0 1/2 2 5 3|]
 
Mapping: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]


EDOs: {{EDOs|6, 7, 13, 19, 25, 31, 56, 81}}
== Notes ==
 
[[Tp_tuning#T2 tuning|RMS error]]: 3.882 cents
 
[[File:leantone_81edo.png|alt=leantone_81edo.png|leantone_81edo.png]]
 
* [[leantone6|Six note haplotonic scale]]
* [[leantone7|Seven note albitonic scale]]
* [[leantone13|Thirteen note chromatic scale]]


[[Category:Lists of scales]]
[[Category:Lists of scales]]
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[[Category:Listen]]
[[Category:Listen]]
[[Category:Rank 2]]
[[Category:Rank 2]]
{{todo|cleanup}}
{{todo|cleanup}}
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