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'''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 ==
== 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"
{| class="wikitable"
|+Monocot intervals (assuming pure fifth and octave)
|+ style="font-size: 105%;" | Monocot intervals (assuming pure fifth and octave)
!#
!Steps
!Notation
!Name
|-
|-
| -7
! #
|113.69
! Steps
|C#
! Notation
|Augmented unison
! Name
|-
|-
| -6
| −7
|611.73
| 113.69
|F#
| C#
|Augmented fourth
| Augmented unison
|-
|-
| -5
| −6
|1,109.78
| 611.73
|B
| F#
|Major seventh
| Augmented fourth
|-
|-
| -4
| −5
|407.82
| 1,109.78
|E
| B
|Major third
| Major seventh
|-
|-
| -3
| −4
|905.87
| 407.82
|A
| E
|Major sixth
| Major third
|-
|-
| -2
| −3
|203.91
| 905.87
|D
| A
|Major second
| Major sixth
|-
|-
| -1
| −2
|701.96
| 203.91
|G
| D
|Perfect fifth
| Major second
|-
|-
|'''0'''
| −1
|'''0'''
| 701.96
|'''C'''
| G
|Perfect unison / Perfect octave
| Perfect fifth
|-
|-
|1
| '''0'''
|498.05
| '''0'''
|F
| '''C'''
|Perfect fourth
| Perfect unison
|-
|-
|2
| 1
|996.09
| 498.04
|Bb
| F
|Minor seventh
| Perfect fourth
|-
|-
|3
| 2
|294.14
| 996.09
|Eb
| Bb
|Minor third
| Minor seventh
|-
|-
|4
| 3
|792.18
| 294.13
|Ab
| Eb
|Minor sixth
| Minor third
|-
|-
|5
| 4
|90.22
| 792.18
|Db
| Ab
|Minor second
| Minor sixth
|-
|-
|6
| 5
|588.27
| 90.22
|Gb
| Db
|Diminished fifth
| Minor second
|-
|-
|7
| 6
|1,086.32
| 588.27
|Cb
| Gb
|Diminished octave
| Diminished fifth
|-
| 7
| 1,086.31
| Cb
| Diminished octave
|}
|}


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=== Mavila ===
=== Mavila ===
[[Mavila]] is an exotemperament that flattens the fifth beyond the diatonic range (to around 670-680 cents) so that the "major third" is flatter than the "minor third", meaning that the "minor third" can be assigned to 5/4 and the "major third" can be assigned to 6/5. This has the effect of "swapping" major and minor intervals from what they are in meantone. This means that the normal chain-of-fifths interval names stop making much sense (but see in [[Mavila#Notation]]).
[[Mavila]] is an exotemperament that flattens the fifth beyond the diatonic range (to around 670–680{{c}}) so that the "major third" is flatter than the "minor third", meaning that the "minor third" can be assigned to 5/4 and the "major third" can be assigned to 6/5. This has the effect of "swapping" major and minor intervals from what they are in meantone. This means that the normal chain-of-fifths interval names stop making much sense (but see in [[Mavila#Notation]]).


=== Deeptone ===
=== Deeptone ===
[[Deeptone]] flattens the fifth to around 690 cents, so the major third is a [[16/13]] and the augmented third is [[5/4]].
[[Deeptone]] flattens the fifth to around 690{{c}}, so the major third is a [[16/13]] and the augmented third is [[5/4]].


=== Meantone ===
=== Meantone ===
[[Meantone]] can be seen as the most "basic" monocot temperament, which flattens the fifth slightly to around 696 cents so that the major third is [[5/4]]. Consequently, the minor third becomes [[6/5]], and the major sixth becomes [[5/3]].  
[[Meantone]] can be seen as the most "basic" monocot temperament, which flattens the fifth slightly to around 696{{c}} so that the major third is [[5/4]]. Consequently, the minor third becomes [[6/5]], and the major sixth becomes [[5/3]].  


In the 7-limit, the augmented sixth becomes 7/4, resulting in [[septimal meantone]]. Alternately, the fifth can be flattened further (to around 693 cents) so that the diminished seventh is sharper than the augmented sixth. Then, it makes sense to interpret the diminished seventh as 7/4, resulting in [[flattone]] temperament.
In the 7-limit, the augmented sixth becomes 7/4, resulting in [[septimal meantone]]. Alternately, the fifth can be flattened further (to around 693{{c}}) so that the diminished seventh is sharper than the augmented sixth. Then, it makes sense to interpret the diminished seventh as 7/4, resulting in [[flattone]] temperament.


=== Schismic ===
=== Schismic ===
[[Schismic]] interprets the diminished fourth, an interval of about 384 cents when justly tuned, as [[5/4]]. This makes it a very accurate microtemperament, and it naturally extends to prime 19 by finding 19/16 at the minor third (called [[nestoria]]).
[[Schismic]] interprets the diminished fourth, an interval of about 384{{c}} when justly tuned, as [[5/4]]. This makes it a very accurate microtemperament, and it naturally extends to prime 19 by finding 19/16 at the minor third (called [[nestoria]]).


In the 7-limit, the doubly-diminished octave, an interval of about 973 cents when justly tuned, can be interpreted as [[7/4]] with a small loss of accuracy compared to 5-limit schismic; this is called [[garibaldi]].
In the 7-limit, the doubly-diminished octave, an interval of about 973{{c}} when justly tuned, can be interpreted as [[7/4]] with a small loss of accuracy compared to 5-limit schismic; this is called [[garibaldi]].


=== Superpyth ===
=== Superpyth ===
[[Superpyth]] interprets the minor seventh as [[7/4]], which suggests a tuning of the perfect fifth at around 710 cents. [[5/4]] can then be seen as the augmented second (for standard superpyth) or the double-augmented unison (for [[ultrapyth]], which also extends to prime 13 by setting the major third equal to [[13/10]]).  
[[Superpyth]] interprets the minor seventh as [[7/4]], which suggests a tuning of the perfect fifth at around 710{{c}}. [[5/4]] can then be seen as the augmented second (for standard superpyth) or the double-augmented unison (for [[ultrapyth]], which also extends to prime 13 by setting the major third equal to [[13/10]]).  


=== Trienstonian ===
=== Trienstonian ===
T[[Trienstonian|rienstonian]] 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.
[[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.
 
[[Category:Ploidacots|Monocot]]
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