Ploidacot/Diploid dicot - Revision history

Xenllium at 12:55, 7 January 2026

2026-01-07T12:55:57Z

← Older revision		Revision as of 12:55, 7 January 2026
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	{\| class="wikitable"		{\| class="wikitable"
			\|+ style="font-size: 105%;" \| Diploid dicot intervals (assuming pure fifth and octave)
	\|-		\|-
	! rowspan="2" \| #		! rowspan="2" \| #

FloraC: Text replacement - "[[Category:Ploidacot" to "[[Category:Ploidacots"

2026-01-06T09:44:34Z

Text replacement - "[[Category:Ploidacot" to "[[Category:Ploidacots"

← Older revision		Revision as of 09:44, 6 January 2026
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	A diploid dicot temperament must temper out at least two commas: one to equate an interval to its octave-complement, and one to equate another interval to its fifth-complement. As a result, diploid dicot temperaments must be at least in the 7-limit or another 4-prime subgroup. As such, there are few specifically defined interpretations of diploid dicot as a temperament, and instead they may be found by combining [[Ploidacot/Dicot\|dicot]] and [[Ploidacot/Diploid monocot\|diploid monocot]] temperaments.		A diploid dicot temperament must temper out at least two commas: one to equate an interval to its octave-complement, and one to equate another interval to its fifth-complement. As a result, diploid dicot temperaments must be at least in the 7-limit or another 4-prime subgroup. As such, there are few specifically defined interpretations of diploid dicot as a temperament, and instead they may be found by combining [[Ploidacot/Dicot\|dicot]] and [[Ploidacot/Diploid monocot\|diploid monocot]] temperaments.

	[[Category:~~Ploidacot~~\|Diploid dicot]]		[[Category:Ploidacots\|Diploid dicot]]

Xenllium at 23:51, 5 January 2026

2026-01-05T23:51:29Z

← Older revision		Revision as of 23:51, 5 January 2026
Line 1:		Line 1:
	{{Breadcrumb}}{{Infobox ploidacot\|Ploids=2\|Shears=0\|Cots=2\|Pergen=[P8/2, P4/2]\|Forms=6, 10, 14\|Title=Diploid dicot\|Wedgie=4}}'''Diploid dicot''' is a temperament archetype where the generator is a neutral third, two of which stack to a [[3/2]] perfect fifth, and the period is half a [[2/1]] octave, or 600{{cent}}. In other words, this is the same as the [[hemipythagorean]] structure. The generator can also be characterized as an inframinor third or ultramajor second, two of which reach a perfect fourth. Diploid dicot temperaments usually generate the decatonic scale [[4L 6s]] and the 14-note scale [[10L 4s]].		{{Breadcrumb}}{{Infobox ploidacot\|Ploids=2\|Shears=0\|Cots=2\|Pergen=[P8/2, P4/2]\|Forms=6, 10, 14, 24\|Title=Diploid dicot\|Wedgie=4}}'''Diploid dicot''' is a temperament archetype where the generator is a neutral third, two of which stack to a [[3/2]] perfect fifth, and the period is half a [[2/1]] octave, or 600{{cent}}. In other words, this is the same as the [[hemipythagorean]] structure. The generator can also be characterized as an inframinor third or ultramajor second, two of which reach a perfect fourth. Diploid dicot temperaments usually generate the decatonic scale [[4L 6s]] and the 14-note scale [[10L 4s]].

	== ~~Notation~~ ==		== Intervals and notation ==
	Diploid dicot notation is complicated as it conventionally requires either the introduction of new "[[hemipythagorean]]" ordinals or the use of scales other than the standard diatonic scale. As such, there is no universally accepted convention. Note and interval names are provided where diploid dicot intervals align with standard dicot intervals (which use [[neutral chain-of-fifths notation]]).		Diploid dicot notation is complicated as it conventionally requires either the introduction of new "[[hemipythagorean]]" ordinals or the use of scales other than the standard diatonic scale. As such, there is no universally accepted convention. Note and interval names are provided where diploid dicot intervals align with standard dicot intervals (which use [[neutral chain-of-fifths notation]]).

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	A diploid dicot temperament must temper out at least two commas: one to equate an interval to its octave-complement, and one to equate another interval to its fifth-complement. As a result, diploid dicot temperaments must be at least in the 7-limit or another 4-prime subgroup. As such, there are few specifically defined interpretations of diploid dicot as a temperament, and instead they may be found by combining [[Ploidacot/Dicot\|dicot]] and [[Ploidacot/Diploid monocot\|diploid monocot]] temperaments.		A diploid dicot temperament must temper out at least two commas: one to equate an interval to its octave-complement, and one to equate another interval to its fifth-complement. As a result, diploid dicot temperaments must be at least in the 7-limit or another 4-prime subgroup. As such, there are few specifically defined interpretations of diploid dicot as a temperament, and instead they may be found by combining [[Ploidacot/Dicot\|dicot]] and [[Ploidacot/Diploid monocot\|diploid monocot]] temperaments.

	[[Category:Ploidacot]]		[[Category:Ploidacot\|Diploid dicot]]

Xenllium: /* Notation */

2026-01-04T03:55:59Z

Notation

← Older revision		Revision as of 03:55, 4 January 2026
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	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
	! colspan="4" \| Ploid 1		! rowspan="2" \| #
	! colspan="4" \| Ploid 2		! colspan="3" \| Ploid 1
			! colspan="3" \| Ploid 2
	\|-		\|-
	~~! #~~
	! Cents		! Cents
			! Notation
	! Name		! Name
			! Cents
	! Notation		! Notation
	~~! #~~
	~~! Cents~~
	! Name		! Name
	~~! Notation~~		\|-
			\| −7
			\| 543.157
			\|
			\|
			\| 1143.157
			\| Cd
			\| semidiminished octave
	\|-		\|-
	\| −6		\| −6
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	\| Eb		\| Eb
	\| minor third		\| minor third
	~~\| −6~~
	\| 894.135		\| 894.135
	\|		\|
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	\|-		\|-
	\| −5		\| −5
	\| 45.~~1125~~		\| 45.112
	\|		\|
	\|		\|
	~~\| −5~~		\| 645.112
	\| 645.~~1125~~
	\| Gd		\| Gd
	\| semidiminished fifth		\| semidiminished fifth
	\|-		\|-
	\| −4		\| −4
	\| 396.09		\| 396.090
	\|		\|
	\|		\|
	~~\| −4~~		\| 996.090
	\| 996.09
	\| Bb		\| Bb
	\| minor seventh		\| minor seventh
	\|-		\|-
	\| −3		\| −3
	\| 147.~~0675~~		\| 147.067
	\| Dd		\| Dd
	\| neutral second		\| neutral second
	~~\| −3~~		\| 747.067
	\| 747.~~0675~~
	\|		\|
	\|		\|
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	\| F		\| F
	\| perfect fourth		\| perfect fourth
	~~\| −2~~
	\| 1098.045		\| 1098.045
	\|		\|
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	\|-		\|-
	\| −1		\| −1
	\| 249.~~0225~~		\| 249.022
	\|		\|
	\|		\|
	~~\| −1~~		\| 849.022
	\| 849.~~0225~~
	\| Ad		\| Ad
	\| neutral sixth		\| neutral sixth
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	\| C		\| C
	\| perfect unison		\| perfect unison
	~~\| 0~~
	\| 600		\| 600
	\|		\|
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	\|-		\|-
	\| 1		\| 1
	\| 350.~~9775~~		\| 350.978
	\| Ed		\| Ed
	\| neutral third		\| neutral third
	~~\| 1~~		\| 950.978
	\| 950.~~9775~~
	\|		\|
	\|		\|
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	\|		\|
	\|		\|
	~~\| 2~~
	\| 701.955		\| 701.955
	\| G		\| G
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	\|-		\|-
	\| 3		\| 3
	\| 452.~~9325~~		\| 452.933
	\|		\|
	\|		\|
	~~\| 3~~		\| 1052.933
	\| 1052.~~9325~~
	\| Bd		\| Bd
	\| neutral seventh		\| neutral seventh
	\|-		\|-
	\| 4		\| 4
	\| 203.91		\| 203.910
	\| D		\| D
	\| major second		\| major second
	~~\| 4~~		\| 803.910
	\| 803.91
	\|		\|
	\|		\|
	\|-		\|-
	\| 5		\| 5
	\| 554.~~8875~~		\| 554.888
	\| Ft		\| Ft
	\| semiaugmented fourth		\| semiaugmented fourth
	~~\| 5~~		\| 1154.888
	\| 1154.~~8875~~
	\|		\|
	\|		\|
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	\|		\|
	\|		\|
	~~\| 6~~
	\| 905.865		\| 905.865
	\| A		\| A
	\| major sixth		\| major sixth
			\|-
			\| 7
			\| 56.843
			\| Ct
			\| semiaugmented unison
			\| 656.843
			\|
			\|
	\|}		\|}

Xenllium: /* Temperament interpretations */

2026-01-04T02:08:07Z

Temperament interpretations

← Older revision		Revision as of 02:08, 4 January 2026
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	A diploid dicot temperament must temper out at least two commas: one to equate an interval to its octave-complement, and one to equate another interval to its fifth-complement. As a result, diploid dicot temperaments must be at least in the 7-limit or another 4-prime subgroup. As such, there are few specifically defined interpretations of diploid dicot as a temperament, and instead they may be found by combining [[Ploidacot/Dicot\|dicot]] and [[Ploidacot/Diploid monocot\|diploid monocot]] temperaments.		A diploid dicot temperament must temper out at least two commas: one to equate an interval to its octave-complement, and one to equate another interval to its fifth-complement. As a result, diploid dicot temperaments must be at least in the 7-limit or another 4-prime subgroup. As such, there are few specifically defined interpretations of diploid dicot as a temperament, and instead they may be found by combining [[Ploidacot/Dicot\|dicot]] and [[Ploidacot/Diploid monocot\|diploid monocot]] temperaments.

	~~{{Todo\| unify precision }}~~		[[Category:Ploidacot]]

VectorGraphics at 23:28, 25 October 2025

2025-10-25T23:28:31Z

← Older revision		Revision as of 23:28, 25 October 2025
Line 1:		Line 1:
	{{Breadcrumb}}{{Infobox ploidacot\|Ploids=2\|Shears=0\|Cots=2\|Pergen=[P8/2, P4/2]\|Forms=6, 10, 14\|Title=Diploid dicot}}'''Diploid dicot''' is a temperament archetype where the generator is a neutral third, two of which stack to a [[3/2]] perfect fifth, and the period is half a [[2/1]] octave, or 600{{cent}}. In other words, this is the same as the [[hemipythagorean]] structure. The generator can also be characterized as an inframinor third or ultramajor second, two of which reach a perfect fourth. Diploid dicot temperaments usually generate the decatonic scale [[4L 6s]] and the 14-note scale [[10L 4s]].		{{Breadcrumb}}{{Infobox ploidacot\|Ploids=2\|Shears=0\|Cots=2\|Pergen=[P8/2, P4/2]\|Forms=6, 10, 14\|Title=Diploid dicot\|Wedgie=4}}'''Diploid dicot''' is a temperament archetype where the generator is a neutral third, two of which stack to a [[3/2]] perfect fifth, and the period is half a [[2/1]] octave, or 600{{cent}}. In other words, this is the same as the [[hemipythagorean]] structure. The generator can also be characterized as an inframinor third or ultramajor second, two of which reach a perfect fourth. Diploid dicot temperaments usually generate the decatonic scale [[4L 6s]] and the 14-note scale [[10L 4s]].

	== Notation ==		== Notation ==

ArrowHead294 at 15:55, 9 September 2025

2025-09-09T15:55:09Z

Show changes

VectorGraphics at 00:26, 2 September 2025

2025-09-02T00:26:26Z

← Older revision		Revision as of 00:26, 2 September 2025
Line 1:		Line 1:
	'''Diploid dicot''' is a temperament archetype where the generator is a neutral third, two of which stack to a [[3/2]] perfect fifth, and the period is half a [[2/1]] octave, or 600 cents. In other words, this is the same as the [[hemipythagorean]] structure. The generator can also be characterized as an inframinor third or ultramajor second, two of which reach a perfect fourth. Diploid dicot temperaments usually generate the decatonic scale [[4L 6s]] and the 14-note scale [[10L 4s]].		{{Breadcrumb}}{{Infobox ploidacot\|Ploids=2\|Shears=0\|Cots=2\|Pergen=[P8/2, P4/2]\|Forms=6, 10, 14\|Title=Diploid dicot}}'''Diploid dicot''' is a temperament archetype where the generator is a neutral third, two of which stack to a [[3/2]] perfect fifth, and the period is half a [[2/1]] octave, or 600 cents. In other words, this is the same as the [[hemipythagorean]] structure. The generator can also be characterized as an inframinor third or ultramajor second, two of which reach a perfect fourth. Diploid dicot temperaments usually generate the decatonic scale [[4L 6s]] and the 14-note scale [[10L 4s]].

	== Notation ==		== Notation ==

FloraC: Todo

2025-09-01T09:33:42Z

Todo

← Older revision		Revision as of 09:33, 1 September 2025
Line 137:		Line 137:
	== Temperament interpretations ==		== Temperament interpretations ==
	A diploid dicot temperament must temper out at least two commas: one to equate an interval to its octave-complement, and one to equate another interval to its fifth-complement. As a result, diploid dicot temperaments must be at least in the 7-limit or another 4-prime subgroup. As such, there are few specifically defined interpretations of diploid dicot as a temperament, and instead they may be found by combining [[Ploidacot/Dicot\|dicot]] and [[Ploidacot/Diploid monocot\|diploid monocot]] temperaments.		A diploid dicot temperament must temper out at least two commas: one to equate an interval to its octave-complement, and one to equate another interval to its fifth-complement. As a result, diploid dicot temperaments must be at least in the 7-limit or another 4-prime subgroup. As such, there are few specifically defined interpretations of diploid dicot as a temperament, and instead they may be found by combining [[Ploidacot/Dicot\|dicot]] and [[Ploidacot/Diploid monocot\|diploid monocot]] temperaments.

			{{Todo\| unify precision }}

VectorGraphics: Created page with "'''Diploid dicot''' is a temperament archetype where the generator is a neutral third, two of which stack to a 3/2 perfect fifth, and the period is half a 2/1 octave, or 600 cents. In other words, this is the same as the hemipythagorean structure. The generator can also be characterized as an inframinor third or ultramajor second, two of which reach a perfect fourth. Diploid dicot temperaments usually generate the decatonic scale 4L 6s and the 14-note sca..."

2025-08-30T20:04:58Z

Created page with "'''Diploid dicot''' is a temperament archetype where the generator is a neutral third, two of which stack to a 3/2 perfect fifth, and the period is half a 2/1 octave, or 600 cents. In other words, this is the same as the hemipythagorean structure. The generator can also be characterized as an inframinor third or ultramajor second, two of which reach a perfect fourth. Diploid dicot temperaments usually generate the decatonic scale 4L 6s and the 14-note sca..."

New page

'''Diploid dicot''' is a temperament archetype where the generator is a neutral third, two of which stack to a [[3/2]] perfect fifth, and the period is half a [[2/1]] octave, or 600 cents. In other words, this is the same as the [[hemipythagorean]] structure. The generator can also be characterized as an inframinor third or ultramajor second, two of which reach a perfect fourth. Diploid dicot temperaments usually generate the decatonic scale [[4L 6s]] and the 14-note scale [[10L 4s]].

== Notation ==
Diploid dicot notation is complicated as it conventionally requires either the introduction of new "[[hemipythagorean]]" ordinals or the use of scales other than the standard diatonic scale. As such, there is no universally accepted convention. Note and interval names are provided where diploid dicot intervals align with standard dicot intervals (which use [[neutral chain-of-fifths notation]]).
{| class="wikitable"
|+
! colspan="4" rowspan="1" |Ploid 1
! colspan="4" rowspan="1" |Ploid 2
|-
!#
!Cents
!Name
!Notation
!#
!Cents
!Name
!Notation
|-
| -6
|294.135
|Eb
|minor third
| -6
|894.135
|
|
|-
| -5
|45.1125
|
|
| -5
|645.1125
|Gd
|semidiminished fifth
|-
| -4
|396.09
|
|
| -4
|996.09
|Bb
|minor seventh
|-
| -3
|147.0675
|Dd
|neutral second
| -3
|747.0675
|
|
|-
| -2
|498.045
|F
|perfect fourth
| -2
|1098.045
|
|
|-
| -1
|249.0225
|
|
| -1
|849.0225
|Ad
|neutral sixth
|-
|0
|0
|C
|perfect unison
|0
|600
|
|
|-
|1
|350.9775
|Ed
|neutral third
|1
|950.9775
|
|
|-
|2
|101.955
|
|
|2
|701.955
|G
|perfect fifth
|-
|3
|452.9325
|
|
|3
|1052.9325
|Bd
|neutral seventh
|-
|4
|203.91
|D
|major second
|4
|803.91
|
|
|-
|5
|554.8875
|Ft
|semiaugmented fourth
|5
|1154.8875
|
|
|-
|6
|305.865
|
|
|6
|905.865
|A
|major sixth
|}

== Temperament interpretations ==
A diploid dicot temperament must temper out at least two commas: one to equate an interval to its octave-complement, and one to equate another interval to its fifth-complement. As a result, diploid dicot temperaments must be at least in the 7-limit or another 4-prime subgroup. As such, there are few specifically defined interpretations of diploid dicot as a temperament, and instead they may be found by combining [[Ploidacot/Dicot|dicot]] and [[Ploidacot/Diploid monocot|diploid monocot]] temperaments.