Tour of regular temperaments: Difference between revisions
Corrected the nowa pergens so that the multigens are all 5-limit-no-threes ratios, analogous to 2.3.5 and 2.3.5.7 pergens using only 3-limit multigens. Sorted the families by pergen. |
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===[[Mutt temperament|Mutt or Trila-septriyo family]] (P8/3, ccP4/7)=== | ===[[Mutt temperament|Mutt or Trila-septriyo family]] (P8/3, ccP4/7)=== | ||
This tempers out the [[mutt comma]], {{Monzo|-44 -3 21}, leading to some strange properties. Seven ~5/4 generators equals a double-compound 4th = ~16/3. The third-octave period is <u>not</u> 5/4, thus the generator is equivalently a period minus ~5/4, only about 14¢. The L/s ratio is very lopsided, and scales resemble a "fuzzy" augmented chord. | This tempers out the [[mutt comma]], {{Monzo|-44 -3 21}}, leading to some strange properties. Seven ~5/4 generators equals a double-compound 4th = ~16/3. The third-octave period is <u>not</u> 5/4, thus the generator is equivalently a period minus ~5/4, only about 14¢. The L/s ratio is very lopsided, and scales resemble a "fuzzy" augmented chord. | ||
===[[Würschmidt family|Würschmidt or Saquadbigu family]] (P8, ccP5/8)=== | ===[[Würschmidt family|Würschmidt or Saquadbigu family]] (P8, ccP5/8)=== | ||