Ploidacot/Diploid monocot: Difference between revisions
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{{Breadcrumb}}{{Infobox ploidacot|Ploids=2|Shears=0|Cots=1|Pergen=[P8/2, P5]|Forms=10, 12|Title=Diploid monocot|Wedgie=2}} | {{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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|+ style="font-size: 105%;" | Diploid monocot intervals (assuming pure fifth and octave) | |+ style="font-size: 105%;" | Diploid monocot intervals (assuming pure fifth and octave) | ||
|- | |- | ||
! colspan=" | ! rowspan="2" | # | ||
! colspan=" | ! colspan="3" | Ploid 1 | ||
! colspan="3" | Ploid 2 | |||
|- | |- | ||
! Cents | ! Cents | ||
! Notation | |||
! Name | ! Name | ||
! Cents | |||
! Notation | ! Notation | ||
! Name | ! Name | ||
|- | |||
| −6 | |||
| 588.27 | |||
| Gb | |||
| diminished fifth | |||
| 1188.27 | |||
| — | |||
| — | |||
|- | |- | ||
| −5 | | −5 | ||
| 90. | | 90.22 | ||
| Db | |||
| minor second | | minor second | ||
| 690.22 | |||
| 690. | |||
| — | | — | ||
| — | | — | ||
| Line 33: | Line 39: | ||
| — | | — | ||
| — | | — | ||
| 792.18 | | 792.18 | ||
| Ab | |||
| minor sixth | | minor sixth | ||
|- | |- | ||
| −3 | | −3 | ||
| 294. | | 294.13 | ||
| Eb | |||
| minor third | | minor third | ||
| 894.13 | |||
| 894. | |||
| — | | — | ||
| — | | — | ||
|- | |- | ||
| −2 | | −2 | ||
|396.09 | | 396.09 | ||
| — | | — | ||
| — | | — | ||
| 996.09 | | 996.09 | ||
| Bb | |||
| minor seventh | | minor seventh | ||
|- | |- | ||
| −1 | | −1 | ||
| 498. | | 498.04 | ||
| F | |||
| perfect fourth | | perfect fourth | ||
| | | 1098.04 | ||
| — | | — | ||
| — | | — | ||
| Line 67: | Line 69: | ||
| 0 | | 0 | ||
| 0 | | 0 | ||
| C | |||
| unison | | unison | ||
| 600 | | 600 | ||
| — | | — | ||
| Line 78: | Line 79: | ||
| — | | — | ||
| — | | — | ||
| 701.96 | | 701.96 | ||
| G | |||
| perfect fifth | | perfect fifth | ||
|- | |- | ||
| 2 | | 2 | ||
| 203.91 | | 203.91 | ||
| D | |||
| major second | | major second | ||
| 803.91 | | 803.91 | ||
| — | | — | ||
| Line 96: | Line 95: | ||
| — | | — | ||
| — | | — | ||
| 905.87 | | 905.87 | ||
| A | |||
| major sixth | | major sixth | ||
|- | |- | ||
| 4 | | 4 | ||
| 407.82 | | 407.82 | ||
| E | |||
| major third | | major third | ||
| | | 1007.82 | ||
| — | | — | ||
| — | | — | ||
| Line 114: | Line 111: | ||
| — | | — | ||
| — | | — | ||
| | | 1109.78 | ||
| | | 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]]. | |||
[[Category:Ploidacots|Diploid monocot]] | |||