Xenharmonic Wiki

Chromatic pairs: Difference between revisions

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Cleanup (9/)
Cleanup (10/)
Line 767: Line 767:
[[Tp tuning #T2 tuning|RMS error]]: 0.8398 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.8398 cents


[[starlingtet4|Four note haplotonic scale]]
Scales:
 
* [[starlingtet4]] – 4-tone haplotonic scale
[[starlingtet7|Seven note albitonic scale]]
* [[starlingtet7]] – 7-tone albitonic scale
 
* [[starlingtet11]] – 11-tone chromatic scale
[[starlingtet11|Eleven note chromatic scale]]


== Lovecraft ==
== Lovecraft ==
Line 777: Line 776:


[[Comma list]]: 1352/1331
[[Comma list]]: 1352/1331
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~13/11 = 279.318


{{Mapping|legend=2| 1 1 0 | 0 2 3 }}
{{Mapping|legend=2| 1 1 0 | 0 2 3 }}
Line 785: Line 782:


: [[gencom]]: [2 13/11; 1352/1331]
: [[gencom]]: [2 13/11; 1352/1331]
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~13/11 = 279.318


{{Optimal ET sequence|legend=1| 13, 30, 43, 73, 116b }}
{{Optimal ET sequence|legend=1| 13, 30, 43, 73, 116b }}
Line 790: Line 789:
[[Tp tuning #T2 tuning|RMS error]]: 0.8449 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.8449 cents


[[File:lovecraft_116edo.png|alt=lovecraft_116edo.png|lovecraft_116edo.png]]
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]


[[lovecraft5|Five note haplotonic scale]]
Scales:
 
* [[lovecraft5]] – 5-tone haplotonic scale
[[lovecraft9|Nine note albitonic scale]]
* [[lovecraft9]] – 9-tone albitonic scale
 
* [[lovecraft13]] – 13-tone chromatic scale
[[lovecraft13|Thirteen note chromatic scale]]


== Blackbirds ==
== Blackbirds ==
Line 809: Line 807:
: [[gencom]]: [13/11 11/8; 29282/28561]
: [[gencom]]: [13/11 11/8; 29282/28561]


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~11/8 = 546.660
[[Optimal tuning]] ([[POTE]]): ~13/11 = 1\4, ~11/8 = 546.660


{{Optimal ET sequence|legend=1| 4, 16, 20, 24, 44, 68, 112c, 180bc }}
{{Optimal ET sequence|legend=1| 4, 16, 20, 24, 44, 68, 112c, 180bc }}
Line 815: Line 813:
[[Tp tuning #T2 tuning|RMS error]]: 0.8685 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.8685 cents


[[blackbirds8|Eight note albitonic scale]]
Scales:
 
* [[blackbirds8]] – 8-tone albitonic scale
[[blackbirds12|Twelve note chromatic scale]]
* [[blackbirds12]] – 12-tone chromatic scale
 
* [[blackbirds16]] – 16-tone mega-chromatic scale
[[blackbirds16|Sixteen note mega chromatic scale]]


== Laz ==
== Laz ==
Line 840: Line 837:
[[Tp tuning #T2 tuning|RMS error]]: 0.8790 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.8790 cents


[[laz5|Five note haplotonic scale]]
Scales:
 
* [[laz5]] – 5-tone haplotonic scale
[[laz9|Nine note albitonic scale]]
* [[laz9]] – 9-tone albitonic scale
 
* [[laz13]] – 13-tone chromatic scale
[[laz13|Thirteen note chromatic scale]]


== Myna ==
== Myna ==
Line 878: Line 874:
[[File:greeley_100edo.png|alt=greeley_100edo.png|greeley_100edo.png]]
[[File:greeley_100edo.png|alt=greeley_100edo.png|greeley_100edo.png]]


[[greeley8|Eight note albitonic scale]]
Scales:
 
* [[greeley8]] – 8-tone albitonic scale
[[greeley15|Fifteen note chromatic scale]]
* [[greeley15]] – 15-tone chromatic scale


=== Music ===
; 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
* [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 ==
== Semidim ==
Line 904: Line 900:
[[Tp tuning #T2 tuning|RMS error]]: 1.052 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.052 cents


[[File:semidim_770edo.png|alt=semidim_770edo.png|semidim_770edo.png]]
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Semidim in 770edo]]


[[semidim8|Eight note albitonic scale]]
Scales:
 
* [[semidim8]] – 8-tone albitonic scale
[[semidim13|Thirteen note chromatic scale]]
* [[semidim13]] – 13-tone chromatic scale


== Mothwelltri ==
== Mothwelltri ==
Line 931: Line 927:
[[Tp tuning #T2 tuning|RMS error]]: 1.064 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.064 cents


[[mothwelltri5|Five note haplotonic scale]]
Scales:
 
* [[mothwelltri5]] – 5-tone haplotonic scale
[[mothwelltri9|Nine note albitonic scale]]
* [[mothwelltri9]] – 9-tone albitonic scale
 
* [[mothwelltri13]] – 13-tone chromatic scale
[[mothwelltri13|Thirteen note chromatic scale]]


== Sulis ==
== Sulis ==
Line 956: Line 951:
[[Tp tuning #T2 tuning|RMS error]]: 1.074 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.074 cents


[[sulis7|Seven note haplotonic scale]]
Scales:
 
* [[sulis7]] – 7-tone haplotonic scale
[[sulis10|Ten note albitonic scale]]
* [[sulis10]] – 10-tone albitonic scale
 
* [[sulis13]] – 13-tone chromatic scale
[[sulis13|Thirteen note chromatic scale]]


== Skwares ==
== Skwares ==
Line 981: Line 975:
[[Tp tuning #T2 tuning|RMS error]]: 1.099 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.099 cents


[[File:skwares_206edo.png|alt=skwares_206edo.png|skwares_206edo.png]]
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]


[[skwares8|Eight note albitonic scale]]
Scales:
 
* [[skwares8]] – 8-tone albitonic scale
[[skwares11|Eleven note mega albitonic scale]]
* [[skwares11]] – 11-tone mega-albitonic scale
 
* [[skwares14]] – 14-tone chromatic scale
[[skwares14|Fourteen note chromatic scale]]


== Orwell ==
== Orwell ==
Line 996: Line 989:


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 ==
Line 1,026: Line 1,019:


Scales:  
Scales:  
* [[magicaltet7]] – 7-tone [[albitonic scale]]
* [[magicaltet7]] – 7-tone albitonic scale
* [[magicaltet11]] – 11-tone [[chromatic scale]]
* [[magicaltet11]] – 11-tone chromatic scale
* [[magicaltet15]] – 15-tone [[mega-chromatic scale]]
* [[magicaltet15]] – 15-tone mega-chromatic scale


== Magic ==
== Magic ==
Line 1,061: Line 1,054:
[[Tp tuning #T2 tuning|RMS error]]: 1.245 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.245 cents


[[kiribati13|Thirteen note chromatic scale]]
Scales:
 
* [[kiribati13]] – 13-tone chromatic scale
[[kiribati14|Fourteen note chromatic scale]]
* [[kiribati14]] – 14-tone chromatic scale


== Score ==
== Score ==
Line 1,082: Line 1,075:
[[Tp tuning #T2 tuning|RMS error]]: 1.282 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.282 cents


[[File:score_20edo.jpg|alt=score_20edo.jpg|score_20edo.jpg]]
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]


[[score5|Five note haplotonic scale]]
Scales:
 
* [[score5]] – 5-tone haplotonic scale
[[score7|Seven note albitonic scale]]
* [[score7]] – 7-tone albitonic scale
 
* [[score9]] – 9-tone mega-albitonic scale
[[score9|Nine note mega albitonic scale]]
* [[score11]] – 11-tone chromatic scale
 
[[score11|Eleven note chromatic scale]]


== Sensi ==
== Sensi ==
Line 1,100: Line 1,091:


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 ===
Line 1,111: Line 1,102:


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 1,123: Line 1,114:


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 ==
Line 1,154: Line 1,145:
{{Mapping|legend=3| 1 0 0 1 3 | 0 7/2 0 4 1 }}
{{Mapping|legend=3| 1 0 0 1 3 | 0 7/2 0 4 1 }}


: gencom: [2 11/8; 99/98 9317/9216]
: [[gencom]]: [2 11/8; 99/98 9317/9216]


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~11/8 = 542.672 cents
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~11/8 = 542.672 cents
Line 1,162: Line 1,153:
[[Tp tuning #T2 tuning|RMS error]]: 1.424 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.424 cents


[[joan5|Five note haplotonic scale]]
Scales:
 
* [[joan5]] – 5-tone haplotonic scale
[[joan7|Seven note albitonic scale]]
* [[joan7]] – 7-tone albitonic scale
 
* [[joan9]] – 9-tone mega-albitonic scale
[[joan9|Nine note mega albitonic scale]]
* [[joan11]] – 11-tone chromatic scale
 
[[joan11|Eleven note chromatic scale]]


== Tutone ==
== Tutone ==
Line 1,201: Line 1,190:
[[Tp tuning #T2 tuning|RMS error]]: 1.540 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.540 cents


[[stacks5|Five note haplotonic scale]]
* [[stacks5]] – 5-tone haplotonic scale
 
* [[stacks8]] – 8-tone albitonic scale
[[stacks8|Eight note albitonic scale]]
* [[stacks11]] – 11-tone chromatic scale
 
* [[stacks19]] – 19-tone mega-chromatic scale
[[stacks11|Eleven note note chromatic scale]]
 
[[stacks19|Nineteen note note mega chromatic scale]]


== Bleu ==
== Bleu ==
Line 1,228: Line 1,214:
[[Tp tuning #T2 tuning|RMS error]]: 1.752 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.752 cents


[[File:blue_60edo.png|alt=blue_60edo.png|blue_60edo.png]]
[[File:blue_60edo.png|right|alt=blue_60edo.png|Blue in 60edo]]


[[bleu8|bleu8]] - Eight note [[haplotonic_scale|haplotonic scale]]
Scales:
 
* [[bleu8]] – 8-tone haplotonic scale
[[bleu9|bleu9]] - Nine note [[albitonic_scale|albitonic scale]]
* [[bleu9]] – 9-tone albitonic scale
 
* [[bleu17]] – 17-tone chromatic 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]
[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]
Line 1,257: Line 1,242:
[[Tp tuning #T2 tuning|RMS error]]: 1.774 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.774 cents


[[sephiroth7|Seven note haplotonic scale]]
Scales:
 
* [[sephiroth7]] – 7-tone haplotonic scale
[[sephiroth10|Ten note albitonic scale]]
* [[sephiroth10]] – 10-tone albitonic scale
 
* [[sephiroth13]] – 13-tone chromatic scale
[[sephiroth13|Thirteen note chromatic scale]]
* [[sephiroth16]] – 16-tone mega-chromatic scale
 
[[sephiroth16|Sixteen note mega chromatic scale]]


== Archy ==
== Archy ==
Line 1,270: Line 1,253:


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 1,292: Line 1,275:


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 ==
Line 1,313: Line 1,296:
[[Tp tuning #T2 tuning|RMS error]]: 1.977 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.977 cents


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


[[machine5|Five note haplotonic scale]]
Scales:
 
* [[machine5]] – 5-tone haplotonic scale
[[machine6|Six note albitonic scale]]
* [[machine6]] – 6-tone albitonic scale
 
* [[machine11]] – 11-tone chromatic scale
[[machine11|Eleven note chromatic scale]]


== Deutone ==
== Deutone ==
Line 1,340: Line 1,322:
[[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_44edo.png]]
[[File:deutone_44edo.png|alt=deutone_44edo.png|Deutone in 44edo]]


[[deutone6|Six note haplotonic scale]]
Scales:
 
* [[deutone6]] – 6-tone haplotonic scale
[[deutone7|seven note albitonic scale]]
* [[deutone7]] – 7-tone albitonic scale
 
* [[deutone13]] – 13-tone chromatic scale
[[deutone13|Thirteen note chromatic scale]]


== Negra ==
== Negra ==
Line 1,357: Line 1,338:


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 ==
Line 1,380: Line 1,361:
[[Tp tuning #T2 tuning|RMS error]]: 2.396 cents
[[Tp tuning #T2 tuning|RMS error]]: 2.396 cents


[[skateboard7|Seven note haplotonic scale]]
Scales:
 
* [[skateboard7]] – 7-tone haplotonic scale
[[skateboard11|Eleven note albitonic scale]]
* [[skateboard11]] – 11-tone albitonic scale
 
* [[skateboard15]] – 15-tone chromatic scale
[[skateboard15|Fifteen note chromatic scale]]


== Augment ==
== Augment ==
Line 1,407: Line 1,387:
[[File:augment_21edo.png|alt=augment_21edo.png|augment_21edo.png]]
[[File:augment_21edo.png|alt=augment_21edo.png|augment_21edo.png]]


[[augment6|Six note haplotonic scale]]
Scales:
 
* [[augment6]] – 6-tone haplotonic scale
[[augment9|Nine note albitonic scale]]
* [[augment9]] – 9-tone albitonic scale
 
* [[augment12]] – 12-tone chromatic scale
[[augment12|Twelve note chromatic scale]]


== Semaphore ==
== Semaphore ==
Line 1,420: Line 1,399:


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 ==
Line 1,443: Line 1,422:
[[Tp tuning #T2 tuning|RMS error]]: 2.545 cents
[[Tp tuning #T2 tuning|RMS error]]: 2.545 cents


[[kryptonite9|Nine note albitonic scale]]
Scales:
 
* [[kryptonite9]] – 9-tone albitonic scale
[[kryptonite10|Ten note albitonic scale]]
* [[kryptonite10]] – 10-tone albitonic scale
 
* [[kryptonite19]] – 19-tone mega-chromatic scale
[[kryptonite19|Nineteen note mega chromatic scale]]


== Oregon ==
== Oregon ==
Line 1,466: Line 1,444:
[[Tp tuning #T2 tuning|RMS error]]: 2.550 cents
[[Tp tuning #T2 tuning|RMS error]]: 2.550 cents


[[oregon7|Seven note haplotonic scale]]
Scales:
 
* [[oregon7]] – 7-tone haplotonic scale
[[oregon11|Eleven note albitonic scale]]
* [[oregon11]] – 11-tone albitonic scale
 
* [[oregon15]] – 15-tone chromatic scale
[[oregon15|Fifteen note chromatic scale]]


== Antikythera ==
== Antikythera ==
Line 1,491: Line 1,468:
[[Tp tuning #T2 tuning|RMS error]]: 2.572 cents
[[Tp tuning #T2 tuning|RMS error]]: 2.572 cents


[[File:antikythera_28edo.png|alt=antikythera_28edo.png|antikythera_28edo.png]]
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]


[[antikythera6|Six note haplotonic scale]]
Scales:
 
* [[antikythera6]] – 6-tone haplotonic scale
[[antikythera10|Ten note albitonic scale]]
* [[antikythera10]] – 10-tone albitonic scale
 
* [[antikythera16]] – 16-tone chromatic scale
[[antikythera16|Sixteen note chromatic scale]]


== Glacial ==
== Glacial ==
Line 1,510: Line 1,486:
: [[gencom]]: [2 9/8; 45/44 65/64 81/80]
: [[gencom]]: [2 9/8; 45/44 65/64 81/80]


[[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~9/8 = 186.151
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~9/8 = 186.151


{{Optimal ET sequence|legend=1| 6, 13, 45be, 58bce, 71bce, 84bce }}
{{Optimal ET sequence|legend=1| 6, 13, 45be, 58bce, 71bce, 84bce }}
Line 1,516: Line 1,492:
[[Tp tuning #T2 tuning|RMS error]]: 2.887 cents
[[Tp tuning #T2 tuning|RMS error]]: 2.887 cents


[[glacial6|Six note haplotonic scale]]
Scales:
 
* [[glacial6]] – 6-tone haplotonic scale
[[glacial7|Seven note albitonic scale]]
* [[glacial7]] – 7-tone albitonic scale
 
* [[glacial13]] – 13-tone chromatic scale
[[glacial13|Thirteen note chromatic scale]]


== Leantone ==
== Leantone ==
Line 1,541: Line 1,516:
[[Tp tuning #T2 tuning|RMS error]]: 3.882 cents
[[Tp tuning #T2 tuning|RMS error]]: 3.882 cents


[[File:leantone_81edo.png|alt=leantone_81edo.png|leantone_81edo.png]]
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]


Scales:  
Scales:  
* [[leantone6|Six note haplotonic scale]]
* [[leantone6]] – 6-tone haplotonic scale
* [[leantone7|Seven note albitonic scale]]
* [[leantone7]] – 7-tone albitonic scale
* [[leantone13|Thirteen note chromatic scale]]
* [[leantone13]] – 13-tone chromatic scale


== Notes ==
== Notes ==
Retrieved from "https://en.xen.wiki/w/Chromatic_pairs"