Tour of regular temperaments: Difference between revisions
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===[[Hemimean clan|Hemimean or Zozoquingu Nowa clan]] (P8, M2)=== | ===[[Hemimean clan|Hemimean or Zozoquingu Nowa clan]] (P8, M2)=== | ||
This clan tempers out the hemimean comma, {{Monzo|6 0 -5 2}} = 3136/3125. The M2 generator is ~28/25 = ~194¢. Two generators equals ~5/4 | This clan tempers out the hemimean comma, {{Monzo|6 0 -5 2}} = 3136/3125. The M2 generator is ~28/25 = ~194¢. Two generators equals ~5/4 and five of them equals ~7/4. | ||
===[[Quince clan|Quince or Lasepzo-agugu Nowa clan]] (P8, M2/2)=== | ===[[Quince clan|Quince or Lasepzo-agugu Nowa clan]] (P8, M2/2)=== | ||
This clan tempers out the quince, {{Monzo|-15 0 -2 7}} = 823543/819200. The generator is ~343/320 = ~116¢. Two generators equals ~8/7 (a M2), and seven generators equals ~8/5. An obvious 5-limit interpretation of the generator is 16/15, leading to the [[miracle]] temperament, which is in the gamelismic clan. | This clan tempers out the quince, {{Monzo|-15 0 -2 7}} = 823543/819200. The generator is ~343/320 = ~116¢. Two generators equals ~8/7 (a M2), and seven generators equals ~8/5. An obvious 5-limit interpretation of the generator is 16/15, leading to the [[miracle]] temperament, which is in the gamelismic clan. | ||
===[[Rainy clan|Rainy or Quinzotriyo Nowa clan]] (P8, M3/5)=== | |||
This clan tempers out the [[rainy comma]], {{Monzo|-21 0 3 5}} = 2100875/2097152. The generator is ~256/245 = ~77¢. Three generators equals ~8/7 and five of them equals ~5/4. | |||
== Clans defined by a 3.5.7 (yaza noca) comma == | == Clans defined by a 3.5.7 (yaza noca) comma == | ||