Well temperament: Difference between revisions

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A '''well temperament''' is a [[circulating temperament]] where the intervals in a class are not all tuned the same. It is intermediate between an [[MOS scale]], where for a class containing a generator all but one of the intervals are tuned the same, and a max variety n n tone scale, where for a class containing a generator all the intervals are tuned uniquely.
A '''well temperament''' is a [[circulating temperament]] where the intervals in a class are not all tuned the same. As a consequence of their irregularity, it is possible in extreme cases for well temperaments to have classes where they tune each instance of an interval in that class uniquely, as if they were [[Just intonation|just]] scales of the same [[rank]] as their cardinality.


* [[Kirnberger]] – Kirnberger temperament
* [[Kirnberger]] – Kirnberger temperament

Revision as of 17:40, 31 May 2021

A well temperament is a circulating temperament where the intervals in a class are not all tuned the same. As a consequence of their irregularity, it is possible in extreme cases for well temperaments to have classes where they tune each instance of an interval in that class uniquely, as if they were just scales of the same rank as their cardinality.

  1. the fifths are pure, except for
  2. the C–G, D–A, G–D and A–E fifths are quarter comma meantone
  3. the F#–Db is the wolf fifth, a schisma flat
  1. the fifths are pure, except for
  2. the C–G, D–A, E–B, F–C, G–D and A–E fifths are 1/6 Pythagorean comma flat.

Other scales called "well temperaments"