Tour of regular temperaments: Difference between revisions

TallKite (talk | contribs)
corrected the color names: Quinzotriyo --> Quinzo-atriyo (because 5-exponent is 3 not 15) and Trisaseprugu --> Trisa-seprugu (consistent hyphen use makes searches easier)
Xenllium (talk | contribs)
Line 248: Line 248:
===[[Sensamagic clan|Sensamagic or Zozoyo Noca clan]] (P12, M3)===
===[[Sensamagic clan|Sensamagic or Zozoyo Noca clan]] (P12, M3)===
This 3.5.7 clan tempers out the sensamagic comma {{Monzo|0 -5 1 2}} = 245/243. The M3 generator is ~9/7, and two generators equals ~5/3.
This 3.5.7 clan tempers out the sensamagic comma {{Monzo|0 -5 1 2}} = 245/243. The M3 generator is ~9/7, and two generators equals ~5/3.
===[[Gariboh clan|Gariboh or Triru-Aquinyo Noca clan]] (P12, m3)===
This 3.5.7 clan tempers out the gariboh comma {{Monzo|0 -2 5 -3}} = 3125/3087. The m3 generator is ~25/21, and three generators equals ~5/3.


===[[Mirkwai clan|Mirkwai or Quinru-aquadyo Noca clan]] (P12, cM7/4)===
===[[Mirkwai clan|Mirkwai or Quinru-aquadyo Noca clan]] (P12, cM7/4)===
This 3.5.7 clan tempers out the mirkwai comma, {{Monzo|0 3 4 -5}} = 16875/16807. The generator is ~7/5, and four generators equals a compound major 7th = ~27/7.
This 3.5.7 clan tempers out the mirkwai comma, {{Monzo|0 3 4 -5}} = 16875/16807. The generator is ~7/5, and four generators equals a compound major 7th = ~27/7.
===[[Arcturus clan|Arcturus or Rutribiyo Noca clan]] (P12, M6)===
This 3.5.7 clan tempers out the Arcturus comma {{Monzo|0 -7 6 -1}} = 15625/15309. The M6 generator is ~5/3, and six generators equals ~21/1.
===[[Procyon clan|Procyon or Sasepz-Atrigu Noca clan]] (P12, (~7/5)/4)===
This 3.5.7 clan tempers out the Procyon comma {{Monzo|0 -8 -3 7}} = 823543/820125. The generator is ~49/45, and four generators equals ~7/5.


== Rank-two temperaments defined by a 2.3.5.7 (yaza) comma ==
== Rank-two temperaments defined by a 2.3.5.7 (yaza) comma ==