Chromatic pairs: Difference between revisions

Edson: rework
Magicaltet: rework
Line 1,146: Line 1,146:


== Magicaltet ==
== Magicaltet ==
Subgroup: 2.5/3.7.11
[[Subgroup]]: 2.5/3.7.11


Commas: 100/99, 385/384
[[Comma list]]: 100/99 = {{monzo| 2 2 0 -1 }}, 385/384 = {{monzo| -7 1 1 1 }}


Related temperaments: 4&7&15, superkleismic, magic
{{Mapping|legend=2| 1 0 5 2 | 0 1 -3 2 }}


[[Tp_tuning|POT2 generator]]: ~6/5 = 322.659
: mapping generators: ~2, ~5/3


[[Gencom|Gencom]]: [2 6/5; 100/99 385/384]
{{Mapping|legend=3| 1 -1/2 1/2 2 4 | 0 1/2 -1/2 3 -2 }}


Gencom mapping: [<1 -1/2 1/2 2 4|, <0 1/2 -1/2 3 -2|]
: [[gencom]]: [2 6/5; 100/99 385/384]


Mapping: [<1 0 5 2|, <0 1 -3 2|]
[[Optimal tuning]] ([[Tp tuning|subgroup]] [[CTE]]): ~2 = 1\1, ~5/3 = 877.3426


EDOs: {{EDOs|11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd}}
{{Optimal ET sequence|legend=1| 4, 7, 11, 15, 26, 67, 93* }}


[[Tp_tuning#T2 tuning|RMS error]]: 1.206 cents
<nowiki>*</nowiki> wart for 5/3


[[magicaltet7|Seven note albitonic scale]]
[[Tp tuning #T2 tuning|RMS error]]: 1.206 cents


[[magicaltet11|Eleven note chromatic scale]]
Related temperaments: [[supermagic]], [[superkleismic]], [[magic]]


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


== Magic ==
== Magic ==