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Chromatic pairs: Difference between revisions

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== Starlingtet ==
== Starlingtet ==
Svalname: 4&15
Starlingtet, the 4 & 15 temperament in the 2.5/3.7/3 subgroup, is related to [[starling]] as well as to [[myna]].
 
Related temperaments: starling; becomes myna


[[Subgroup]]: 2.5/3.7/3
[[Subgroup]]: 2.5/3.7/3
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== Blackbirds ==
== Blackbirds ==
Blackbirds is a fairly straightforward temperament. It simply equates ~13/11 to 1/4 of the octave with a generator for prime 11 or 13.
[[Subgroup]]: 2.11.13
[[Subgroup]]: 2.11.13


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== Laz ==
== Laz ==
Related temperaments: [[Orwellismic_family#Guanyin-Georgian|georgian]], winston
Laz is related to [[georgian]] as well as to [[winston]].


[[Subgroup]]: 2.5.7/3.11/3.13/3
[[Subgroup]]: 2.5.7/3.11/3.13/3
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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 ==
Related temperament: [[Porcupine_family#Opossum|Opossum]], [[Starling_temperaments#Nusecond temperament|Nusecond]]
Greeley is related to [[opossum]] as well as to [[nusecond]].


[[Subgroup]]: 2.5/3.7/3.11/3
[[Subgroup]]: 2.5/3.7/3.11/3
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[[Tp tuning #T2 tuning|RMS error]]: 1.034 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.034 cents


[[File:greeley_100edo.png|alt=greeley_100edo.png|greeley_100edo.png]]
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]


Scales:  
Scales:  
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== Semidim ==
== Semidim ==
Sval name: 8&29
Semidim can be described as the 8 & 29 temperament in the 2.5/3.7/3.11/3.13/3 subgroup.


[[Subgroup]]: 2.5/3.7/3.11/3.13/3
[[Subgroup]]: 2.5/3.7/3.11/3.13/3
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== Mothwelltri ==
== Mothwelltri ==
Svalname: 1&4
Mothwelltri, the 1 & 4 temperament in the 2.7/3.11 subgroup, is related to [[orwell]].
 
Related temperament: Orwell


[[Subgroup]]: 2.7/3.11
[[Subgroup]]: 2.7/3.11
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== Sulis ==
== Sulis ==
Related temperament: [[Marvel_family#Minerva|minerva]], würschmidt
Sulis is related to [[minerva]] as well as to [[würschmidt]].


[[Subgroup]]: 2.5.9/7.11/9
[[Subgroup]]: 2.5.9/7.11/9
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== Skwares ==
== Skwares ==
Related temperament: [[Meantone_family|squares]]
{{Main| Squares }}
 
{{See also| No-fives subgroup temperaments #Skwares }}
[[Subgroup]]: 2.3.7.11
 
[[Comma list]]: 99/98, 243/242
 
{{Mapping|legend=2| 1 3 6 7 | 0 -4 -9 -10 }}
 
{{Mapping|legend=3| 1 3 0 6 7 | 0 -4 0 -9 -10 }}
 
: [[gencom]]: [2 9/7; 99/98 243/242]
 
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~9/7 = 425.244
 
{{Optimal ET sequence|legend=1| 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd }}
 
[[Tp tuning #T2 tuning|RMS error]]: 1.099 cents


[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]
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== Magicaltet ==
== Magicaltet ==
Magicaltet is related to [[supermagic]], [[superkleismic]], and [[magic]].
[[Subgroup]]: 2.5/3.7.11
[[Subgroup]]: 2.5/3.7.11


Line 1,015: Line 1,000:


[[Tp tuning #T2 tuning|RMS error]]: 1.206 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.206 cents
Related temperaments: [[supermagic]], [[superkleismic]], [[magic]]


Scales:  
Scales:  
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== Kiribati ==
== Kiribati ==
Related temperament: [[Octagar_family|nakika]], octacot
Kiribati is related to [[nakika]] as well as to [[octacot]].


[[Subgroup]]: 2.9/5.7/3.11/9
[[Subgroup]]: 2.9/5.7/3.11/9
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== Sensi ==
== Sensi ==
{{Main| Sensi }}
{{Main| Sensi }}
{{See also| Sensamagic clan #Sensi }}
{{See also| Sensipent family #Sensi }}
{{See also| Sensipent family #Sensi }}


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


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


Music:  
Music:  
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== Joan ==
== Joan ==
Related temperaments: casablanca, orwell
Joan is related to [[casablanca]] as well as to [[orwell]].


[[Subgroup]]: 2.9.7.11
[[Subgroup]]: 2.9.7.11
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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 ==
Related temperament: [[Magic_family#Magic-13-limit|magic]]
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}
 
Svalname: 11&30
 
[[Subgroup]]: 2.9.15.7.11.13
 
[[Comma list]]: 100/99, 105/104, 144/143, 196/195
 
{{Mapping|legend=2| 1 0 2 -1 6 -2 | 0 5 3 6 -4 9 }}
 
{{Mapping|legend=3| 1 5/2 5/2 5 2 7 | 0 -5/2 -1/2 -6 4 -9 }}
 
: [[gencom]]: [2 9/7; 100/99 105/104 144/143 196/195]
 
[[Optimal tuning]] ([[Tp tuning|subgroup]] [[POTE]]): ~2 = 1\1, ~9/7 = 439.146
 
{{Optimal ET sequence|legend=1| 11, 30, 41, 153cdef, 194cdef, 235cdef }}
 
[[Tp tuning #T2 tuning|RMS error]]: 1.540 cents


Scales:
* [[stacks5]] – 5-tone haplotonic scale
* [[stacks5]] – 5-tone haplotonic scale
* [[stacks8]] – 8-tone albitonic scale
* [[stacks8]] – 8-tone albitonic scale
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== Bleu ==
== Bleu ==
Sval name: 9&17
{{See also| No-fives subgroup temperaments #Bleu }}
 
[[Subgroup]]: 2.3.7.11.13
 
[[Comma list]]: 78/77, 99/98, 144/143
 
{{Mapping|legend=2| 1 1 2 3 3 | 0 5 7 4 6 }}
 
{{Mapping|legend=3| 1 1 0 2 3 3 | 0 5 0 7 4 6 }}
 
: [[gencom]]: [2 13/12; 78/77 99/98 144/143]
 
[[Tp_tuning|POL2 generator]]: ~13/12 = 139.990
 
{{Optimal ET sequence|legend=1| 17, 43, 60c }}
 
[[Tp tuning #T2 tuning|RMS error]]: 1.752 cents
 
[[File:blue_60edo.png|right|alt=blue_60edo.png|Blue in 60edo]]


Scales:  
Scales:  
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* [[bleu17]] – 17-tone chromatic scale
* [[bleu17]] – 17-tone 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]
; Music
* [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 ==
Related temperament: [[Muggles]]
Sephiroth is the no-7 restriction of [[muggles]].


[[Subgroup]]: 2.5.11.13.17
[[Subgroup]]: 2.5.11.13.17
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== Machine ==
== Machine ==
[[Subgroup]]: 2.9.7.11
{{See also| Subgroup temperaments #Machine}}
 
[[Comma list]]: 64/63, 99/98
 
{{Mapping|legend=2| 1 0 6 13 | 0 1 -1 -3 }}
 
{{Mapping|legend=3| 1 3/2 0 3 4 | 0 1/2 0 -1 -3 }}
 
: [[gencom]]: [2 9/8; 64/63 99/98]
 
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~9/8 = 214.384
 
{{Optimal ET sequence|legend=1| 5, 6, 11, 17, 28 }}
 
[[Tp tuning #T2 tuning|RMS error]]: 1.977 cents


[[File:machine_28edo.png|alt=machine_28edo.png|Machine in 28edo]]
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]


Scales:  
Scales:  
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== Deutone ==
== Deutone ==
Related temperament: [[Meantone_family|meanpop]]
Deutone is every other step of [[meanpop]].


[[Subgroup]]: 2.9.5.7.13
[[Subgroup]]: 2.9.5.7.13
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[[Tp tuning #T2 tuning|RMS error]]: 2.003 cents
[[Tp tuning #T2 tuning|RMS error]]: 2.003 cents


[[File:deutone_44edo.png|alt=deutone_44edo.png|Deutone in 44edo]]
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]


Scales:  
Scales:  
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== Skateboard ==
== Skateboard ==
Related temperament: [[Starling_family#Thrasher-13-limit|thrasher]]
Skateboard is related to [[thrasher]].


[[Subgroup]]: 2.5/3.7/3.11.13/9
[[Subgroup]]: 2.5/3.7/3.11.13/9
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== Augment ==
== Augment ==
Related temperament: [[Augmented_family|augmented]]
Augment is related to [[augmented]].


[[Subgroup]]: 2.5.7.11
[[Subgroup]]: 2.5.7.11
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[[Tp tuning #T2 tuning|RMS error]]: 2.422 cents
[[Tp tuning #T2 tuning|RMS error]]: 2.422 cents


[[File:augment_21edo.png|alt=augment_21edo.png|augment_21edo.png]]
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]


Scales:  
Scales:  
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== Kryptonite ==
== Kryptonite ==
Related temperaments: [[Sengic_family|krypton]]
Kryptonite is related to [[krypton]].


[[Subgroup]]: 2.5.7/3.11/3.13/3
[[Subgroup]]: 2.5.7/3.11/3.13/3
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== Antikythera ==
== Antikythera ==
Related temperament: [[pajara|pajara]]
{{See also| Jubilismic clan #Antikythera }}
 
[[Subgroup]]: 2.9.5.7
 
[[Comma list]]: 50/49, 64/63
 
{{Mapping|legend=2| 2 0 11 12 | 0 1 -1 -1 }}
 
{{Mapping|legend=3| 2 3 5 6 | 0 1/2 -1 -1 }}
 
: [[gencom]]: [7/5 8/7; 50/49 64/63]
 
[[Optimal tuning]] ([[POTE]]): ~7/5 = 1\2, ~8/7 = 214.095
 
{{Optimal ET sequence|legend=1| 4, 6, 10, 16, 22, 28 }}
 
[[Tp tuning #T2 tuning|RMS error]]: 2.572 cents


[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]
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== Leantone ==
== Leantone ==
Related temperament: [[Meanenneadecal|meanenneadecal]]
Leantone is every other step of [[meanenneadecal]].


[[Subgroup]]: 2.9.5.7.11
[[Subgroup]]: 2.9.5.7.11
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