Ploidacot/Monocot: Difference between revisions

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{{Breadcrumb}}{{Infobox ploidacot|Ploids=1|Shears=0|Cots=1|Pergen=[P8, P5]|Forms=5, 7, 12|Title=Monocot}}'''Monocot''' is a temperament archetype where the generator is a [[3/2]] perfect fifth, and the period is a [[2/1]] octave. In other words, it is the standard chain of fifths, repeating every octave. Monocot temperaments usually generate the (mos)diatonic scale ([[5L 2s]]) and one of its chromatic children ([[5L 7s]] or [[7L 5s]]) (though there are exotempered exceptions such as [[mavila]] ([[2L 5s]]) and [[trienstonian]] ([[5L 3s]])) and as such they are very commonly used and are a well-explored category of temperaments.

{{Breadcrumb}}{{Infobox ploidacot|Ploids=1|Shears=0|Cots=1|Pergen=[P8, P5]|Forms=5, 7, 12|Title=Monocot|Wedgie=1}}'''Monocot''' is a temperament archetype where the generator is a [[3/2]] perfect fifth, and the period is a [[2/1]] octave. In other words, it is the standard chain of fifths, repeating every octave. Monocot temperaments usually generate the (mos)diatonic scale ([[5L 2s]]) and one of its chromatic children ([[5L 7s]] or [[7L 5s]]) (though there are exotempered exceptions such as [[mavila]] ([[2L 5s]]) and [[trienstonian]] ([[5L 3s]])) and as such they are very commonly used and are a well-explored category of temperaments.

== Intervals and notation ==

Monocot is the only ploidacot to have an agreed-upon, fully unambiguous scheme for interval and note names, which can be found at [[~~Chain~~-of-fifths notation]].

Monocot is the only ploidacot to have an agreed-upon, fully unambiguous scheme for interval and note names, which can be found at [[chain-of-fifths notation]].

{| class="wikitable"

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| '''0'''

| '''C'''

| Perfect unison ~~/ Perfect octave~~

| Perfect unison

|-

| 1

| 498.05

| 498.04

| F

| Perfect fourth

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|-

| 3

| 294.14

| 294.13

| Eb

| Minor third

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|-

| 7

| 1,086.32

| 1,086.31

| Cb

| Diminished octave

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=== Trienstonian ===

[[Trienstonian]] is an exotemperament where the fifth is sharpened so that the major sixth is [[7/4]]. This is thus tuned best with tunings around or sharp of [[5edo]], which do not generate a (usable) diatonic scale.

~~{{Todo| unify precision }}~~

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-{{Breadcrumb}}{{Infobox ploidacot|Ploids=1|Shears=0|Cots=1|Pergen=[P8, P5]|Forms=5, 7, 12|Title=Monocot}}'''Monocot''' is a temperament archetype where the generator is a [[3/2]] perfect fifth, and the period is a [[2/1]] octave. In other words, it is the standard chain of fifths, repeating every octave. Monocot temperaments usually generate the (mos)diatonic scale ([[5L&nbsp;2s]]) and one of its chromatic children ([[5L&nbsp;7s]] or [[7L&nbsp;5s]]) (though there are exotempered exceptions such as [[mavila]] ([[2L&nbsp;5s]]) and [[trienstonian]] ([[5L&nbsp;3s]])) and as such they are very commonly used and are a well-explored category of temperaments.
+{{Breadcrumb}}{{Infobox ploidacot|Ploids=1|Shears=0|Cots=1|Pergen=[P8, P5]|Forms=5, 7, 12|Title=Monocot|Wedgie=1}}'''Monocot''' is a temperament archetype where the generator is a [[3/2]] perfect fifth, and the period is a [[2/1]] octave. In other words, it is the standard chain of fifths, repeating every octave. Monocot temperaments usually generate the (mos)diatonic scale ([[5L&nbsp;2s]]) and one of its chromatic children ([[5L&nbsp;7s]] or [[7L&nbsp;5s]]) (though there are exotempered exceptions such as [[mavila]] ([[2L&nbsp;5s]]) and [[trienstonian]] ([[5L&nbsp;3s]])) and as such they are very commonly used and are a well-explored category of temperaments.
 == Intervals and notation ==
-Monocot is the only ploidacot to have an agreed-upon, fully unambiguous scheme for interval and note names, which can be found at [[Chain-of-fifths notation]].
+Monocot is the only ploidacot to have an agreed-upon, fully unambiguous scheme for interval and note names, which can be found at [[chain-of-fifths notation]].
 {| class="wikitable"
@@ Line 50: / Line 50: @@
 | '''0'''
 | '''C'''
-| Perfect unison / Perfect octave
+| Perfect unison
 |-
 | 1
-| 498.05
+| 498.04
 | F
 | Perfect fourth
@@ Line 63: / Line 63: @@
 |-
 | 3
-| 294.14
+| 294.13
 | Eb
 | Minor third
@@ Line 83: / Line 83: @@
 |-
 | 7
-| 1,086.32
+| 1,086.31
 | Cb
 | Diminished octave
@@ Line 112: / Line 112: @@
 === Trienstonian ===
 [[Trienstonian]] is an exotemperament where the fifth is sharpened so that the major sixth is [[7/4]]. This is thus tuned best with tunings around or sharp of [[5edo]], which do not generate a (usable) diatonic scale.
-{{Todo| unify precision }}