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Chromatic pairs: Difference between revisions

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[[Tp tuning #T2 tuning|RMS error]]: 0.00844 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.00844 cents


[[File:terrain_3558edo.png|alt=terrain_3558edo.png|terrain_3558edo.png]]
[[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]]


Scales:  
Scales:  
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; Music
; Music
[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]]
* ''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]


== Petrtri ==
== Petrtri ==
Line 52: Line 52:
[[Tp tuning #T2 tuning|RMS error]]: 0.0749 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.0749 cents


[[File:petrtri_385edo.png|alt=petrtri_385edo.png|petrtri_385edo.png]]
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]


Scales:
* [[petrtri5]] – 5-tone haplotonic scale
* [[petrtri5]] – 5-tone haplotonic scale
* [[petrtri8]] – 8-tone albitonic scale
* [[petrtri8]] – 8-tone albitonic scale
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[[Tp tuning #T2 tuning|RMS error]]: 0.1613 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.1613 cents


[[File:tridec_235edo.png|alt=tridec_235edo.png|tridec_235edo.png]]
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]


* [[Tridec8]] – 8-tone albitonic scale
* [[Tridec8]] – 8-tone albitonic scale
Line 130: Line 131:


== 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]] – 7-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 }}


Commas: 65536/65219
Orgone, the 4 & 7 temperament in the 2.7.11 subgroup, is related to [[superkleismic]].


Svals: 4&7
[[Subgroup]]: 2.7.11


Related temperament: [[Gamelismic_clan#superkleismic|superkleismic]]
[[Comma list]]: 65536/65219


[[Tp_tuning|POT2 generator]]: ~77/64 = 323.372
{{Mapping|legend=2| 1 2 4 | 0 3 -2 }}


[[Gencom|Gencom]]: [2 77/64; 65536/65219]
{{Mapping|legend=3| 1 0 0 2 4 | 0 0 0 3 -2 }}


Gencom mapping: [<1 0 0 2 4|, <0 0 0 3 -2|]
: [[gencom]]: [2 77/64; 65536/65219]


Mapping: [<1 2 4|, <0 3 -2|]
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~77/64 = 323.372


EDOs: {{EDOs|4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc}}
{{Optimal ET sequence|legend=1| 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc }}


[[Tp_tuning#T2 tuning|RMS error]]: 0.1888 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.1888 cents


[[File:orgone_308edo.jpg|alt=orgone_308edo.jpg|orgone_308edo.jpg]]
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]


[[orgone7|Seven note albitonic scale]]
Scales:
 
* [[orgone7]] – 7-tone albitonic scale
[[orgone11|Eleven note chromatic scale]]
* [[orgone11]] – 11-tone chromatic scale
 
* [[orgone15]] – 15-tone mega chromatic scale
[[orgone15|Fifteen note mega chromatic scale]]


== Marveltwintri ==
== Marveltwintri ==
Subgroup: 2.5/3.13/9
Marveltwintri can be described as the 3 & 4 temperament in the 2.5/3.13/9 subgroup.


Comma: 325/324
[[Subgroup]]: 2.5/3.13/9


Svalname: 3&4
[[Comma list]]: 325/324


[[Tp_tuning|POT2 generator]]: ~6/5 = 317.139
{{Mapping|legend=2| 1 0 2 | 0 1 -2 }}


[[Gencom|Gencom]]: [2 6/5; 325/324]
{{Mapping|legend=3| 1 -1/6 5/6 0 0 -1/3 | 0 -1/2 -3/2 0 0 1 }}


Gencom mapping: [<1 -1/6 5/6 0 0 -1/3|, <0 -1/2 -3/2 0 0 1|]
: [[gencom]]: [2 6/5; 325/324]


Mapping: [<1 0 2|, <0 1 -2|]
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~6/5 = 317.139


EDOs: {{EDOs|11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b}}
{{Optimal ET sequence|legend=1| 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b }}


[[Tp_tuning#T2 tuning|RMS error]]: 0.2444 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.2444 cents


[[File:marveltwintri_321edo.png|alt=marveltwintri_321edo.png|marveltwintri_321edo.png]]
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]


[[marveltwintri7|Seven note albitonic scale]]
Scales:
 
* [[marveltwintri7]] – 7-tone albitonic scale
[[marveltwintri11|Eleven note chromatic scale]]
* [[marveltwintri11]] – 11-tone chromatic scale
 
* [[marveltwintri15]] – 15-tone mega chromatic scale
[[marveltwintri15|Fifteen note mega chromatic scale]]


== Cata ==
== Cata ==
Line 227: Line 208:


== Bridgetown ==
== Bridgetown ==
Subgroup: 2.3.11/5.13/5
Bridgetown, the 5 & 24 temperament in the 2.3.11/5.13/5 subgroup, is related to [[haumea]] and [[barbados]].


Commas: 352/351, 676/675
[[Subgroup]]: 2.3.11/5.13/5


Sval name: 5&24
[[Comma list]]: 352/351, 676/675


Related temperaments: [[Chromatic_pairs#Haumea|haumea]], [[The_Archipelago|barbados]]
{{Mapping|legend=2| 1 0 -6 -1 | 0 2 9 3 }}


[[Tp_tuning|POT2 generator]]: ~15/13 = 248.399
{{Mapping|legend=3| 1 2 -5/3 0 4/3 1/3 | 0 -2 4 0 -5 1 }}


[[Gencom|Gencom]]: [2 15/13; 352/351 676/675]
: [[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|]
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~15/13 = 248.399


Mapping: [<1 0 -6 -1|, <0 2 9 3|]
{{Optimal ET sequence|legend=1| 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314 }}


EDOs: {{EDOs|5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314}}
[[Tp tuning #T2 tuning|RMS error]]: 0.2513 cents


[[Tp_tuning#T2 tuning|RMS error]]: 0.2513 cents
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]


[[File:bridgetown_29edo.png|alt=bridgetown_29edo.png|bridgetown_29edo.png]]
Scales:
* [[bridgetown9]] – 9-tone albitonic scale
* [[bridgetown14]] – 14-tone chromatic scale


[[bridgetown9|Nine note albitonic scale]]
; 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]]
[[bridgetown14|Fourteen note chromatic scale]]
* [https://web.archive.org/web/20201127012744/http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 ''Route 14 in Bridgetown''] (archived 2020) by [[Chris Vaisvil]]
 
=== 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 ==
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