Ploidacot/Diploid tricot: Difference between revisions
Created page with "{{Breadcrumb}} {{Infobox ploidacot|Ploids=2|Shears=0|Cots=3|Pergen=[P8/2, P5/3]|Forms=10, 16, 26, 36|Title=Diploid tricot|Wedgie=6}} '''Diploid tricot''' is a temperament archetype with a half-octave period, and a generator that is a third of the size of a perfect fifth (233.98{{c}}). Diploid tricot temperaments usually generate the 4L 2s, 6L 4s, and 10L 6s MOS structures. == Intervals and notation == Diploid tricot notation is complicated a..." Tags: Mobile edit Mobile web edit |
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== Intervals and notation == | == Intervals and notation == | ||
Diploid tricot notation is complicated as it conventionally requires either the introduction of new "[[hemipythagorean]]" ordinals or the use of scales other than the standard diatonic scale. Note and interval names are provided where diploid | Diploid tricot notation is complicated as it conventionally requires either the introduction of new "[[hemipythagorean]]" ordinals or the use of scales other than the standard diatonic scale. Note and interval names are provided where diploid tricot intervals align with standard monocot intervals (which use [[chain-of-fifths notation]]). | ||
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|+ style="font-size: 105%;" | Diploid tricot intervals (assuming pure fifth and octave) | |||
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A notable feature of diploid tricot is encountering the following small intervals: | |||
* 1/3 of a [[diatonic semitone]] (encountered after 5 steps) | |||
* half of an ''inversed'' diminished second (encountered after 18 steps, representing a half of [[Pythagorean comma]]) | |||
== Temperament interpretations == | == Temperament interpretations == | ||
Here, there is one obvious temperament, [[baladic]], which is useful for the 2.3.7.13.17 subgroup. It tempers out [[169/168]], which splits [[7/6]] in half (13/12~14/13) and one finds that the octave is therefore split in half via the interval [[91/64]], which is then equated to [[17/12]]. | Here, there is one obvious temperament, [[baladic]], which is useful for the 2.3.7.13.17 subgroup. It tempers out [[169/168]], which splits [[7/6]] in half (13/12~14/13) and one finds that the octave is therefore split in half via the interval [[91/64]], which is then equated to [[17/12]]. | ||
[[Category: | [[Category:Ploidacots|Diploid tricot]] | ||