Counterpyth: Difference between revisions
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[[Category:Counterpyth| ]] <!-- main article --> | [[Category:Counterpyth| ]] <!-- main article --> | ||
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Revision as of 12:41, 6 June 2026
- This page is about a rank-3 temperament. For the 41st-octave rank-2 temperament that used to go by this name, see Countercomp.
Counterpyth is the rank-3 temperament tempering out 400/399 and 1216/1215 in the 2.3.5.7.19 subgroup.
Inspired by Margo Schulter's parapyth, counterpyth was named and first explored by Flora Canou in 2024.
In counterpyth, the fifth is tuned a little sharp such that
- the major seventh (+5 fifths) hits 19/10, tempering out 1216/1215;
- the augmented fourth (+6 fifths) hits 10/7, tempering out 5120/5103;
- the augmented third (+11 fifths) hits 19/14, tempering out 1245184/1240029.
It also features a commas step representing 64/63~81/80. Prime harmonics 5, 7 and 19 are all made available simply using two chains of fifths.
See Hemifamity family #Counterpyth for technical data.
Interval lattice
Tunings
| Euclidean | |||
|---|---|---|---|
| Constrained | Constrained & skewed | Destretched | |
| Tenney | CTE: ~3/2 = 702.6411 ¢, ~5/4 = 385.4452 ¢ | CWE: ~3/2 = 702.6771 ¢, ~5/4 = 386.0544 ¢ | POTE: ~3/2 = 702.6953 ¢, ~5/4 = 386.3629 ¢ |