Ploidacot/Dicot: Difference between revisions
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{{Breadcrumb}}{{Infobox ploidacot|Ploids=1|Shears=0|Cots=2|Pergen=[P8, P5/2]|Forms=7, 10, 17|Title=Dicot}} | {{Breadcrumb}}{{Infobox ploidacot|Ploids=1|Shears=0|Cots=2|Pergen=[P8, P5/2]|Forms=7, 10, 17|Title=Dicot|Wedgie=2}} | ||
'''Dicot''' is a temperament archetype where the generator is a [[Neutral third (interval region)|neutral third]], two of which make a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Dicot temperaments usually generate the [[7L 3s]] MOS structure, fittingly named "dicoid", and one of its children [[10L 7s]] or [[7L 10s]]. Dicot temperaments tend to involve "neutral" intervals, which are in-between conventional diatonic intervals. | '''Dicot''' is a temperament archetype where the generator is a [[Neutral third (interval region)|neutral third]], two of which make a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Dicot temperaments usually generate the [[7L 3s]] MOS structure, fittingly named "dicoid", and one of its children [[10L 7s]] or [[7L 10s]]. Dicot temperaments tend to involve "neutral" intervals, which are in-between conventional diatonic intervals. | ||
== Intervals and notation == | == Intervals and notation == | ||
Dicot temperaments can be notated using [[Neutral chain-of-fifths notation|neutral chain-of-fifths notation | Dicot temperaments can be notated using [[Neutral chain-of-fifths notation|neutral chain-of-fifths notation]]. | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 30: | Line 30: | ||
|- | |- | ||
| −7 | | −7 | ||
| | | 1143.16 | ||
| Cd | | Cd | ||
| semidiminished octave | | semidiminished octave | ||
|- | |- | ||
| −6 | | −6 | ||
| 294. | | 294.13 | ||
| Eb | | Eb | ||
| minor third | | minor third | ||
| Line 55: | Line 55: | ||
|- | |- | ||
| −2 | | −2 | ||
| 498. | | 498.04 | ||
| F | | F | ||
| perfect fourth | | perfect fourth | ||
| Line 67: | Line 67: | ||
| 0 | | 0 | ||
| C | | C | ||
| perfect unison | | perfect unison | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 80: | Line 80: | ||
|- | |- | ||
| 3 | | 3 | ||
| | | 1052.93 | ||
| Bd | | Bd | ||
| neutral seventh | | neutral seventh | ||
| Line 115: | Line 115: | ||
|- | |- | ||
| 10 | | 10 | ||
| | | 1109.78 | ||
| B | | B | ||
| major seventh | | major seventh | ||
| Line 127: | Line 127: | ||
=== Neutral === | === Neutral === | ||
[[Neutral]] is the temperament equating [[11/9]] with [[27/22]]. This makes 11/9 the neutral third and [[11/8]] the semiaugmented fourth. [[Namo]] extends neutral so that [[16/13]] is found at the same neutral third. Namo is often used as an 11- and 13-limit extension of other temperaments. | [[Neutral (temperament)|Neutral]] is the temperament equating [[11/9]] with [[27/22]]. This makes 11/9 the neutral third and [[11/8]] the semiaugmented fourth. [[Namo]] extends neutral so that [[16/13]] is found at the same neutral third. Namo is often used as an 11- and 13-limit extension of other temperaments. | ||
=== Mohajira === | === Mohajira === | ||
| Line 135: | Line 135: | ||
Fittingly to its name, [[hemififths]] divides the fifth evenly into two {{nowrap|[[49/40]]~[[60/49]]<nowiki/>s}}. 7/4 is the semiaugmented sixth, and consequently 5/4 is the sesqui-augmented (one-and-a-half augmented) second. | Fittingly to its name, [[hemififths]] divides the fifth evenly into two {{nowrap|[[49/40]]~[[60/49]]<nowiki/>s}}. 7/4 is the semiaugmented sixth, and consequently 5/4 is the sesqui-augmented (one-and-a-half augmented) second. | ||
[[Category:Ploidacots|Dicot]] | |||