Ploidacot/Triploid alpha-dicot: Difference between revisions
Created page with "{{Breadcrumb}} {{Infobox ploidacot|Ploids=3|Shears=1|Cots=2|Pergen=[P8/3, P4/2]|Forms=6, 9, 15, 24|Title=Triploid alpha-dicot|Wedgie=6}} '''Triploid alpha-dicot''' is a temperament archetype with a 1/3-octave period, and a generator of a hemifourth. In a pure tuning, the generator is exactly a half of 4/3. But the alternative generator with size around 151¢ is rather easier to grasp. Triploid alpha-dicot temperaments usually generate the 6L 3s and 9L 6s MO..." Tags: Mobile edit Mobile web edit |
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== Intervals and notation == | == Intervals and notation == | ||
Triploid alpha-dicot notation is complicated as it conventionally requires either the introduction of new "1/3-pythagorean" ordinals or the use of scales other than the standard diatonic scale. | Triploid alpha-dicot notation is complicated as it conventionally requires either the introduction of new "1/3-pythagorean" 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 triploid alpha-dicot intervals align with standard monocot intervals (which use [[chain-of-fifths notation]]). | ||
{| class="wikitable" | |||
|+ style="font-size: 105%;" | Triploid alpha-dicot intervals (assuming pure fifth and octave) | |||
|- | |||
! rowspan="2" | # | |||
! colspan="3" | Ploid 1 | |||
! colspan="3" | Ploid 2 | |||
! colspan="3" | Ploid 3 | |||
|- | |||
! Cents | |||
! Notation | |||
! Name | |||
! Cents | |||
! Notation | |||
! Name | |||
! Cents | |||
! Notation | |||
! Name | |||
|- | |||
| −5 | |||
| 45.11 | |||
| — | |||
| — | |||
| 445.11 | |||
| — | |||
| — | |||
| 845.11 | |||
| — | |||
| — | |||
|- | |||
| −4 | |||
| 196.09 | |||
| — | |||
| — | |||
| 596.09 | |||
| — | |||
| — | |||
| 996.09 | |||
| Bb | |||
| minor seventh | |||
|- | |||
| −3 | |||
| 347.07 | |||
| — | |||
| — | |||
| 747.07 | |||
| — | |||
| — | |||
| 1147.07 | |||
| — | |||
| — | |||
|- | |||
| −2 | |||
| 98.04 | |||
| — | |||
| — | |||
| 498.04 | |||
| F | |||
| perfect fourth | |||
| 898.04 | |||
| — | |||
| — | |||
|- | |||
| −1 | |||
| 249.02 | |||
| — | |||
| — | |||
| 649.02 | |||
| — | |||
| — | |||
| 1049.02 | |||
| — | |||
| — | |||
|- | |||
| 0 | |||
| 0 | |||
| C | |||
| unison | |||
| 400 | |||
| — | |||
| — | |||
| 800 | |||
| — | |||
| — | |||
|- | |||
| 1 | |||
| 150.98 | |||
| — | |||
| — | |||
| 550.98 | |||
| — | |||
| — | |||
| 950.98 | |||
| — | |||
| — | |||
|- | |||
| 2 | |||
| 301.96 | |||
| — | |||
| — | |||
| 701.96 | |||
| G | |||
| perfect fifth | |||
| 1101.96 | |||
| — | |||
| — | |||
|- | |||
| 3 | |||
| 52.93 | |||
| — | |||
| — | |||
| 452.93 | |||
| — | |||
| — | |||
| 852.93 | |||
| — | |||
| — | |||
|- | |||
| 4 | |||
| 203.91 | |||
| D | |||
| major second | |||
| 603.91 | |||
| — | |||
| — | |||
| 1003.91 | |||
| — | |||
| — | |||
|- | |||
| 5 | |||
| 354.89 | |||
| — | |||
| — | |||
| 754.89 | |||
| — | |||
| — | |||
| 1154.89 | |||
| — | |||
| — | |||
|} | |||
== Temperament interpretations == | == Temperament interpretations == | ||
Perhaps the most typical interpretation of this ploidacot is [[triforce]]. The period is [[5/4]][[~]][[14/11]] and the generator is [[11/10]]~[[12/11]]~[[35/32]], so that [[3/2]] is a period up two generators, [[7/4]] at two periods up one generator, and [[11/8]] at a period up one generator. | Perhaps the most typical interpretation of this ploidacot is [[triforce]]. The period is [[5/4]][[~]][[14/11]] and the generator is [[11/10]]~[[12/11]]~[[35/32]], so that [[3/2]] is a period up two generators, [[7/4]] at two periods up one generator, and [[11/8]] at a period up one generator. | ||