Counterpyth: Difference between revisions

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{{About|a rank-3 temperament|the 41st-octave rank-2 temperament that used to go by this name|Countercomp}}
#redirect [[Aberschismic family #Counterpyth (2.3.5.7.19)]]


'''Counterpyth''' is the [[rank-3 temperament|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 ==
<gallery>
File:Lattice Counterpyth RTT.png
</gallery>
[[Category:Temperaments]]
[[Category:Counterpyth| ]] <!-- main article -->
[[Category:Counterpyth| ]] <!-- main article -->
[[Category:Rank-3 temperaments]]
[[Category:Rank-3 temperaments]]
[[Category:Hemifamity family]]
[[Category:Aberschismic family]]

Latest revision as of 11:17, 8 June 2026