Counterpyth: Difference between revisions

Revision as of 09:01, 9 March 2024

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

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.

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-'''Counterpyth''' was the older name of [[countercomp]]. It was renamed following the consolidation of the [[compton]] temperament's name for fear of confusion with [[Pythagorean tuning]]. This term is now potentially of use as a region of fifths around 24\41, with the major seventh targeting [[19/10]] in such a tuning.
+{{About|a rank-3 temperament|the 41st-octave rank-2 temperament that used to go by this name|Countercomp}}
-[[Category:Smart redirect]]
+'''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.
+[[Category:Temperaments]]
+[[Category:Counterpyth| ]] <!-- main article -->
+[[Category:Hemifamity family]]