Xenllium: Created page with "{{Breadcrumb}}{{Infobox ploidacot|Ploids=7|Shears=0|Cots=1|Pergen=[P8/7, P5]|Forms=21, 28, 35|Title=Heptaploid monocot|Wedgie=7}} '''Heptaploid monocot''' is a temperament archetype where the generator is a 3/2 perfect fifth and the period is 1/7 of a 2/1 octave, or 171.429{{c}}. The generator can also be characterized as a perfect fourth 4/3, or as a small comma of $\frac{3}{2\sqrt[7]{16}}$ . Heptaploid monocot temperaments usually generate the 7..."

2026-02-07T12:35:26Z

Created page with "{{Breadcrumb}}{{Infobox ploidacot|Ploids=7|Shears=0|Cots=1|Pergen=[P8/7, P5]|Forms=21, 28, 35|Title=Heptaploid monocot|Wedgie=7}} '''Heptaploid monocot''' is a temperament archetype where the generator is a 3/2 perfect fifth and the period is 1/7 of a 2/1 octave, or 171.429{{c}}. The generator can also be characterized as a perfect fourth 4/3, or as a small comma of <math>\frac{3}{2\sqrt[7]{16}}</math>. Heptaploid monocot temperaments usually generate the 7..."

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{{Breadcrumb}}{{Infobox ploidacot|Ploids=7|Shears=0|Cots=1|Pergen=[P8/7, P5]|Forms=21, 28, 35|Title=Heptaploid monocot|Wedgie=7}}
'''Heptaploid monocot''' is a temperament archetype where the generator is a [[3/2]] perfect fifth and the period is 1/7 of a [[2/1]] octave, or 171.429{{c}}. The generator can also be characterized as a perfect fourth [[4/3]], or as a small comma of <math>\frac{3}{2\sqrt[7]{16}}</math>. Heptaploid monocot temperaments usually generate the [[7L 7s]], [[7L 14s]], and [[7L 21s]] MOS scales.

== Intervals and notation ==
While there is no agreed-upon notation system for heptaploid monocot, the following is based on interpreting the generator as a fifth, allowing for an ^ or v to stand for 1/7 of a chromatic semitone, so ^^^^C and vvvC# are enharmonic.

{| class="wikitable"
|+ style="font-size: 105%;" | Heptaploid monocot intervals (assuming pure fifth and octave)
|-
! rowspan="2" | #
! colspan="2" | Ploid 1
! colspan="2" | Ploid 2
! colspan="2" | Ploid 3
! colspan="2" | Ploid 4
! colspan="2" | Ploid 5
! colspan="2" | Ploid 6
! colspan="2" | Ploid 7
|-
! Cents
! Notation
! Cents
! Notation
! Cents
! Notation
! Cents
! Notation
! Cents
! Notation
! Cents
! Notation
! Cents
! Notation
|-
| −7
| 57.74
| vvDb
| 229.17
| ^^^Ebb
| 400.60
| ^Fb
| 572.03
| vGb
| 743.46
| vvvAb
| 914.89
| ^^Bbb
| 1086.31
| Cb
|-
| −6
| 73.98
| vDb
| 245.41
| vvvEb
| 416.84
| ^^Fb
| 588.27
| Gb
| 759.70
| vvAb
| 931.13
| ^^^Bbb
| 1102.56
| ^Cb
|-
| −5
| 90.22
| Db
| 261.65
| vvEb
| 433.08
| ^^^Fb
| 604.51
| ^Gb
| 775.94
| vAb
| 947.37
| vvvBb
| 1118.80
| ^^Cb
|-
| −4
| 106.47
| ^Db
| 277.89
| vEb
| 449.32
| vvvF
| 620.75
| ^^Gb
| 792.18
| Ab
| 963.61
| vvBb
| 1135.04
| ^^^Cb
|-
| −3
| 122.71
| ^^Db
| 294.13
| Eb
| 465.56
| vvF
| 636.99
| ^^^Gb
| 808.42
| ^Ab
| 979.85
| vBb
| 1151.28
| vvvC
|-
| −2
| 138.95
| ^^^Db
| 310.38
| ^Eb
| 481.80
| vF
| 653.23
| vvvG
| 824.66
| ^^Ab
| 996.09
| Bb
| 1167.52
| vvC
|-
| −1
| 155.19
| vvvD
| 326.62
| ^^Eb
| 498.04
| F
| 669.47
| vvG
| 840.90
| ^^^Ab
| 1012.33
| ^Bb
| 1183.76
| vC
|-
| 0
| 0.00
| C
| 171.43
| vvD
| 342.86
| ^^^Eb
| 514.29
| ^F
| 685.71
| vG
| 857.14
| vvvA
| 1028.57
| ^^Bb
|-
| 1
| 16.24
| ^C
| 187.67
| vD
| 359.10
| vvvE
| 530.53
| ^^F
| 701.96
| G
| 873.38
| vvA
| 1044.81
| ^^^Bb
|-
| 2
| 32.48
| ^^C
| 203.91
| D
| 375.34
| vvE
| 546.77
| ^^^F
| 718.20
| ^G
| 889.62
| vA
| 1061.05
| vvvB
|-
| 3
| 48.72
| ^^^C
| 220.15
| ^D
| 391.58
| vE
| 563.01
| vvvF#
| 734.44
| ^^G
| 905.87
| A
| 1077.29
| vvB
|-
| 4
| 64.96
| vvvC#
| 236.39
| ^^D
| 407.82
| E
| 579.25
| vvF#
| 750.68
| ^^^G
| 922.11
| ^A
| 1093.53
| vB
|-
| 5
| 81.20
| vvC#
| 252.63
| ^^^D
| 424.06
| ^E
| 595.49
| vF#
| 766.92
| vvvG#
| 938.35
| ^^A
| 1109.78
| B
|-
| 6
| 97.44
| vC#
| 268.87
| vvvD#
| 440.30
| ^^E
| 611.73
| F#
| 783.16
| vvG#
| 954.59
| ^^^A
| 1126.02
| ^B
|-
| 7
| 113.69
| C#
| 285.11
| vvD#
| 456.54
| ^^^E
| 627.97
| ^F#
| 799.40
| vG#
| 970.83
| vvvA#
| 1142.26
| ^^B
|}

== Temperament interpretations ==
By definition, heptaploid monocot temperaments split the octave in seven.

=== Absurdity ===
[[Absurdity]] temperament sets ~800/729 as a period, and uses a fifth as a generator. In this temperament, [[27/20]] is equated to three periods.

[[Category:Ploidacots|Heptaploid monocot]]

Ploidacot/Heptaploid monocot - Revision history