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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)]] |
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| '''Counterpyth''' is the [[rank-3 temperament|rank-3]] [[temperament]] tempering out [[400/399]] and [[1216/1215]] in the 2.3.5.7.19 [[subgroup]].
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| Inspired by [[Margo Schulter]]'s [[parapyth]], counterpyth was named and first explored by [[Flora Canou]] in 2024.
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| In counterpyth, the fifth is tuned a little sharp such that
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| * the major seventh (+5 fifths) hits [[19/10]], tempering out 1216/1215;
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| * the augmented fourth (+6 fifths) hits [[10/7]], tempering out [[5120/5103]];
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| * the augmented third (+11 fifths) hits [[19/14]], tempering out [[1245184/1240029]].
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| 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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| See [[Hemifamity family #Counterpyth]] for technical data.
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| == Interval lattice ==
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| <gallery>
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| File:Lattice Counterpyth RTT.png
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| </gallery>
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| == Tunings ==
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| {| class="wikitable mw-collapsible mw-collapsed"
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| |+ style="font-size: 105%; white-space: nowrap;" | 2.3.5.7.19-subgroup norm-based tunings
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| |-
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| ! rowspan="2" |
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| ! colspan="3" | Euclidean
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| |-
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| ! Constrained
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| ! Constrained & skewed
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| ! Destretched
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| |-
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| ! Tenney
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| | CTE: ~3/2 = 702.6411{{c}}, ~5/4 = 385.4452{{c}}
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| | CWE: ~3/2 = 702.6771{{c}}, ~5/4 = 386.0544{{c}}
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| | POTE: ~3/2 = 702.6953{{c}}, ~5/4 = 386.3629{{c}}
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| |}
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| [[Category:Counterpyth| ]] <!-- main article --> | | [[Category:Counterpyth| ]] <!-- main article --> |
| [[Category:Rank-3 temperaments]] | | [[Category:Rank-3 temperaments]] |
| [[Category:Aberschismic family]] | | [[Category:Aberschismic family]] |