Tour of regular temperaments: Difference between revisions
→Families defined by a 2.3 (wa) comma: explained wa commas better, reworked the limma/sawati paragraph |
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; [[Limma family|Limma or Sawati family]] (P8/5, ^1) | ; [[Limma family|Limma or Sawati family]] (P8/5, ^1) | ||
: This family tempers out the [[limma]], {{nowrap|{{Monzo|8 -5}} {{=}} 256/243}}. It equates 5 fifths with 3 octaves, which creates multiple copies of [[5edo]]. The fifth is 720¢, quite sharp. This family includes the [[Blackwood]] temperament, which is 5-limit. Blackwood's edo copies are offset from one another by 5/4, or alternatively by 81/80. 5/4 is usually tempered sharp, to match the sharp 5th. | : This family tempers out the [[limma]], {{nowrap|{{Monzo|8 -5}} {{=}} 256/243}}. It equates 5 fifths with 3 octaves, which creates multiple copies of [[5edo]]. The fifth is ~720¢, quite sharp. This family includes the [[Blackwood]] temperament, which is 5-limit. Blackwood's edo copies are offset from one another by 5/4, or alternatively by 81/80. 5/4 is usually tempered sharp, to match the sharp 5th. | ||
; [[Apotome family|Apotome or Lawati family]] (P8/7, ^1) | ; [[Apotome family|Apotome or Lawati family]] (P8/7, ^1) | ||