Ploidacot/Diploid monocot: Difference between revisions
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{{Breadcrumb}}{{Infobox ploidacot|Ploids=2|Shears=0|Cots=1|Pergen=[P8/2, P5]|Forms= | {{Breadcrumb}}{{Infobox ploidacot|Ploids=2|Shears=0|Cots=1|Pergen=[P8/2, P5]|Forms=10, 12, 22|Title=Diploid monocot|Wedgie=2}} | ||
'''Diploid monocot''' is a temperament archetype where the generator is a [[3/2]] perfect fifth and the period is half a [[2/1]] octave, or 600{{c}}. The generator can also be characterized as a perfect fourth [[4/3]], or as a "perfect semitone" <math>\frac{3}{2\sqrt{2}}</math>. Diploid monocot temperaments usually generate the [[2L 8s]] MOS structure and either [[2L 10s]] (and thus [[12L 2s]]) or [[10L 2s]] as children. | '''Diploid monocot''' is a temperament archetype where the generator is a [[3/2]] perfect fifth and the period is half a [[2/1]] octave, or 600{{c}}. The generator can also be characterized as a perfect fourth [[4/3]], or as a "perfect semitone" <math>\frac{3}{2\sqrt{2}}</math>. Diploid monocot temperaments usually generate the [[2L 8s]] MOS structure and either [[2L 10s]] (and thus [[12L 2s]]) or [[10L 2s]] as children. | ||
== | == Intervals and notation == | ||
Diploid monocot 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. As such, there is no universally accepted convention. Note and interval names are provided where diploid monocot intervals align with standard monocot intervals. | Diploid monocot 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. As such, there is no universally accepted convention. Note and interval names are provided where diploid monocot intervals align with standard monocot intervals. | ||
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! Notation | ! Notation | ||
! Name | ! Name | ||
|- | |||
| −6 | |||
| 588.27 | |||
| Gb | |||
| diminished fifth | |||
| 1188.27 | |||
| — | |||
| — | |||
|- | |- | ||
| −5 | | −5 | ||
| Line 106: | Line 114: | ||
| B | | B | ||
| major seventh | | major seventh | ||
|- | |||
| 6 | |||
| 11.73 | |||
| — | |||
| — | |||
| 611.73 | |||
| F# | |||
| augmented fourth | |||
|} | |} | ||
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Injera extends [[meantone]] by setting 7/5 equal to 10/7, so that both [[5/4]] and [[7/4]] are found at 4 generators up, offset by a 600{{c}} tritone representing both 7/5 and 10/7. | Injera extends [[meantone]] by setting 7/5 equal to 10/7, so that both [[5/4]] and [[7/4]] are found at 4 generators up, offset by a 600{{c}} tritone representing both 7/5 and 10/7. | ||
[[ | === Kalismic === | ||
Kalismic sets the semioctave to [[99/70]]~[[140/99]], so that [[10/9]] and [[11/7]] are a semioctave apart, as well as are [[11/10]] and [[14/9]]. The tone is split into two [[35/33]] semitones, and the [[Pythagorean comma]] into two [[2835/2816|fwiwismas]]. | |||