Ploidacot/Alpha-tricot: Difference between revisions
Created page with "'''Alpha-tricot''' is a temperament archetype where the generator is a wide tritone of about 625-640 cents, three of which stack to form a perfect twelfth of 3/1, and the period is a 2/1 octave. Alpha-tricot temperaments generate the 2L 5s, 2L 7s, and 2L 9s MOS structures. Alpha-tricot temperaments split the diatonic whole tone into three equal parts, producing both supermajor/subminor and supraminor/submajor intervals. == Intervals and notation == T..." |
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Any valid alpha-tricot temperament assigns a just interpretation to the individual generator. | Any valid alpha-tricot temperament assigns a just interpretation to the individual generator. | ||
=== Alphatricot === | === [[Alphatricot]] === | ||
Formerly inaccurately just called "tricot", this is a 5-limit microtemperament with the alpha-tricot structure (hence its name). In the 2.3.5.13 interpretation, the generator is 13/9, and 5/4 is found at ''29'' generators up, the submajor third in the "superaugmented fourth" notation. As a microtemperament, it is tuned best when the fifth is around just. | Formerly inaccurately just called "tricot", this is a 5-limit microtemperament with the alpha-tricot structure (hence its name). In the 2.3.5.13 interpretation, the generator is 13/9, and 5/4 is found at ''29'' generators up, the submajor third in the "superaugmented fourth" notation. As a microtemperament, it is tuned best when the fifth is around just. | ||
=== Liese === | === Liese === | ||
Liese identifies the generator with 10/7. To extend to the full 7-limit, the meantone mapping of 5 is used (12 generators or 4 fifths up), which has the benefit of flattening the fifth to make the 10/7 more accurate. | [[Liese]] identifies the generator with 10/7. To extend to the full 7-limit, the meantone mapping of 5 is used (12 generators or 4 fifths up), which has the benefit of flattening the fifth to make the 10/7 more accurate. | ||
=== 12288/12167 === | === 12288/12167 === | ||
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=== Paralimmal === | === Paralimmal === | ||
Paralimmal maps the generator to 16/11, meaning it is best tuned with a sharpened fifth (around 715-720 cents or so). | [[Paralimmal]] maps the generator to 16/11, meaning it is best tuned with a sharpened fifth (around 715-720 cents or so). | ||