ArrowHead294 at 15:50, 27 January 2026

2026-01-27T15:50:59Z

← Older revision		Revision as of 15:50, 27 January 2026
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	{{Breadcrumb}}{{Infobox ploidacot\|Ploids=5\|Shears=0\|Cots=1\|Pergen=[P8/5, P5]\|Forms=20, 25, 30, 35\|Title=Pentaploid monocot\|Wedgie=5}}		{{Breadcrumb}}{{Infobox ploidacot\|Ploids=5\|Shears=0\|Cots=1\|Pergen=[P8/5, P5]\|Forms=20, 25, 30, 35\|Title=Pentaploid monocot\|Wedgie=5}}
	'''Pentaploid monocot''' is a temperament archetype where the generator is a [[3/2]] perfect fifth and the period is 1/5 of a [[2/1]] octave, or 240{{c}}. The generator can also be characterized as a perfect fourth [[4/3]], or as a small comma of <math>\frac{2\sqrt[5]{8}}{3}</math>. Pentaploid monocot temperaments usually generate the [[5L 10s]], [[5L 15s]], and [[5L 20s]] MOS scales.		'''Pentaploid monocot''' is a temperament archetype where the generator is a [[3/2]] perfect fifth and the period is 1/5 of a [[2/1]] octave, or 240{{c}}. The generator can also be characterized as a perfect fourth [[4/3]], or as a small comma of <math>\frac{2\sqrt[5]{8}}{3}</math>. Pentaploid monocot temperaments usually generate the [[5L 10s]], [[5L 15s]], and [[5L 20s]] MOS scales.

	== Intervals and notation ==		== Intervals and notation ==

Xenllium: Created page with "{{Breadcrumb}}{{Infobox ploidacot|Ploids=5|Shears=0|Cots=1|Pergen=[P8/5, P5]|Forms=20, 25, 30, 35|Title=Pentaploid monocot|Wedgie=5}} '''Pentaploid monocot''' is a temperament archetype where the generator is a 3/2 perfect fifth and the period is 1/5 of a 2/1 octave, or 240{{c}}. The generator can also be characterized as a perfect fourth 4/3, or as a small comma of $\frac{2\sqrt[5]{8}}{3}$ . Pentaploid monocot temperaments usually generate the 5L..."

2026-01-27T15:42:39Z

Created page with "{{Breadcrumb}}{{Infobox ploidacot|Ploids=5|Shears=0|Cots=1|Pergen=[P8/5, P5]|Forms=20, 25, 30, 35|Title=Pentaploid monocot|Wedgie=5}} '''Pentaploid monocot''' is a temperament archetype where the generator is a 3/2 perfect fifth and the period is 1/5 of a 2/1 octave, or 240{{c}}. The generator can also be characterized as a perfect fourth 4/3, or as a small comma of <math>\frac{2\sqrt[5]{8}}{3}</math>. Pentaploid monocot temperaments usually generate the 5L..."

New page

{{Breadcrumb}}{{Infobox ploidacot|Ploids=5|Shears=0|Cots=1|Pergen=[P8/5, P5]|Forms=20, 25, 30, 35|Title=Pentaploid monocot|Wedgie=5}}
'''Pentaploid monocot''' is a temperament archetype where the generator is a [[3/2]] perfect fifth and the period is 1/5 of a [[2/1]] octave, or 240{{c}}. The generator can also be characterized as a perfect fourth [[4/3]], or as a small comma of <math>\frac{2\sqrt[5]{8}}{3}</math>. Pentaploid monocot temperaments usually generate the [[5L 10s]], [[5L 15s]], and [[5L 20s]] MOS scales.

== Intervals and notation ==
While there is no agreed-upon notation system for pentaploid monocot, the following is based on interpreting the generator as a fifth, allowing for an ^ or v to stand for 1/5 of a diatonic semitone, so ^^^C and vvDb are enharmonic.

{| class="wikitable"
|+ style="font-size: 105%;" | Pentaploid monocot intervals (assuming pure fifth and octave)
|-
! rowspan="2" | #
! colspan="3" | Ploid 1
! colspan="3" | Ploid 2
! colspan="3" | Ploid 3
! colspan="3" | Ploid 4
! colspan="3" | Ploid 5
|-
! Cents
! Notation
! Name
! Cents
! Notation
! Name
! Cents
! Notation
! Name
! Cents
! Notation
! Name
! Cents
! Notation
! Name
|-
| −6
| 108.27
| ^Db
| —
| 348.27
| vvFb
| —
| 588.27
| Gb
| diminished fifth
| 828.27
| ^^Ab
| —
| 1068.27
| vCb
| —
|-
| −5
| 90.22
| Db
| minor second
| 330.22
| ^^Eb
| —
| 570.22
| vGb
| —
| 810.22
| ^Ab
| —
| 1050.22
| vvCb
| —
|-
| −4
| 72.18
| vDb
| —
| 312.18
| ^Eb
| —
| 552.18
| vvGb
| —
| 792.18
| Ab
| minor sixth
| 1032.18
| ^^Bb
| —
|-
| −3
| 54.13
| vvDb
| —
| 294.13
| Eb
| minor third
| 534.13
| ^^F
| —
| 774.13
| vAb
| —
| 1014.13
| ^Bb
| —
|-
| −2
| 36.09
| ^^C
| —
| 276.09
| vEb
| —
| 516.09
| ^F
| —
| 756.09
| vvAb
| —
| 996.09
| Bb
| minor seventh
|-
| −1
| 18.04
| ^C
| —
| 258.04
| vvEb
| —
| 498.04
| F
| perfect fourth
| 738.04
| ^^G
| —
| 978.04
| vBb
| —
|-
| 0
| 0
| C
| unison
| 240
| ^^D
| —
| 480
| vF
| —
| 720
| ^G
| —
| 960
| vvBb
| —
|-
| 1
| 221.96
| ^D
| —
| 461.96
| vvF
| —
| 701.96
| G
| perfect fifth
| 941.96
| ^^A
| —
| 1181.96
| vC
| —
|-
| 2
| 203.91
| D
| major second
| 443.91
| ^^E
| —
| 683.91
| vG
| —
| 923.91
| ^A
| —
| 1163.91
| vvC
| —
|-
| 3
| 185.87
| vD
| —
| 425.87
| ^E
| —
| 665.87
| vvG
| —
| 905.87
| A
| major sixth
| 1145.87
| ^^B
| —
|-
| 4
| 167.82
| vvD
| —
| 407.82
| E
| major third
| 647.82
| ^^F#
| —
| 887.82
| vA
| —
| 1127.82
| ^B
| —
|-
| 5
| 149.78
| ^^C#
| —
| 389.78
| vE
| —
| 629.78
| ^F#
| —
| 869.78
| vvA
| —
| 1109.78
| B
| major seventh
|-
| 6
| 131.73
| ^C#
| —
| 371.73
| vvE
| —
| 611.73
| F#
| augmented fourth
| 851.73
| ^^G#
| —
| 1091.73
| vB
| —
|}

== Temperament interpretations ==
By definition, pentaploid monocot temperaments split the octave in five.

=== Quintile ===
{{Main| Quintile family }}

Quintile temperament sets ~59049/51200 as a period, and uses a fifth as a generator.

[[Category:Ploidacots|Pentaploid monocot]]

Ploidacot/Pentaploid monocot - Revision history

ArrowHead294 at 15:50, 27 January 2026