Ploidacot/Diploid alpha-tricot - Revision history

Fredg999 category edits: Removing from Category:Ploidacots using Cat-a-lot

2026-07-16T06:38:47Z

Removing from Category:Ploidacots using Cat-a-lot

← Older revision		Revision as of 06:38, 16 July 2026
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	The larger generator is equated to [[9/7]] and the smaller one to [[11/10]], treating the period as [[99/70]]. This is also equated to [[17/12]], which leads to the stack of three large generators being [[17/8]].		The larger generator is equated to [[9/7]] and the smaller one to [[11/10]], treating the period as [[99/70]]. This is also equated to [[17/12]], which leads to the stack of three large generators being [[17/8]].

	~~[[Category:Ploidacots\|Diploid alpha-tricot]]~~

Xenllium at 13:00, 7 January 2026

2026-01-07T13:00:15Z

← Older revision		Revision as of 13:00, 7 January 2026
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	== Intervals and notation ==		== Intervals and notation ==
	Diploid alpha-tricot 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. Note and interval names are provided where diploid alpha-~~dicot~~ intervals align with standard monocot intervals (which use [[chain-of-fifths notation]]).		Diploid alpha-tricot 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. Note and interval names are provided where diploid alpha-tricot intervals align with standard monocot intervals (which use [[chain-of-fifths notation]]).

	{\| class="wikitable"		{\| class="wikitable"
			\|+ style="font-size: 105%;" \| Diploid alpha-tricot intervals (assuming pure fifth and octave)
	\|-		\|-
	! rowspan="2" \| #		! rowspan="2" \| #
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	The larger generator is equated to [[9/7]] and the smaller one to [[11/10]], treating the period as [[99/70]]. This is also equated to [[17/12]], which leads to the stack of three large generators being [[17/8]].		The larger generator is equated to [[9/7]] and the smaller one to [[11/10]], treating the period as [[99/70]]. This is also equated to [[17/12]], which leads to the stack of three large generators being [[17/8]].

	[[Category:Ploidacots]]		[[Category:Ploidacots\|Diploid alpha-tricot]]

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

2026-01-06T09:43:49Z

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

← Older revision		Revision as of 09:43, 6 January 2026
Line 228:		Line 228:
	The larger generator is equated to [[9/7]] and the smaller one to [[11/10]], treating the period as [[99/70]]. This is also equated to [[17/12]], which leads to the stack of three large generators being [[17/8]].		The larger generator is equated to [[9/7]] and the smaller one to [[11/10]], treating the period as [[99/70]]. This is also equated to [[17/12]], which leads to the stack of three large generators being [[17/8]].

	[[Category:~~Ploidacot~~]]		[[Category:Ploidacots]]

Xenllium at 07:21, 4 January 2026

2026-01-04T07:21:25Z

Show changes

VectorGraphics at 23:29, 25 October 2025

2025-10-25T23:29:54Z

← Older revision		Revision as of 23:29, 25 October 2025
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	{{Breadcrumb}}		{{Breadcrumb}}
	{{Infobox ploidacot\|Ploids=2\|Shears=1\|Cots=3\|Pergen=[P8/2, P4/3]\|Forms=6, 8, 14\|Title=Diploid alpha-tricot}}		{{Infobox ploidacot\|Ploids=2\|Shears=1\|Cots=3\|Pergen=[P8/2, P4/3]\|Forms=6, 8, 14\|Title=Diploid alpha-tricot\|Wedgie=6}}

	'''Diploid alpha-tricot''' is a temperament archetype with a half-octave period, and a generator that is a third of the size of a stack of a period and a perfect fifth (433.98{{c}}), but the alternative generator with size a third of a perfect fourth is rather easier to grasp.		'''Diploid alpha-tricot''' is a temperament archetype with a half-octave period, and a generator that is a third of the size of a stack of a period and a perfect fifth (433.98{{c}}), but the alternative generator with size a third of a perfect fourth is rather easier to grasp.

VectorGraphics at 09:23, 10 September 2025

2025-09-10T09:23:38Z

← Older revision		Revision as of 09:23, 10 September 2025
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	== Intervals and notation ==		== Intervals and notation ==
	~~The notation for diploid~~ alpha-tricot is ~~an extension~~ of the ~~notation for omega-tricot, but with a symbol for~~ the ~~half-octave~~.		Diploid alpha-tricot 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.


	<!-- TODO - actually do the notation -->		<!-- TODO - actually do the notation -->

ArrowHead294 at 15:59, 9 September 2025

2025-09-09T15:59:01Z

← Older revision		Revision as of 15:59, 9 September 2025
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	{{Breadcrumb}}{{Infobox ploidacot\|Ploids=2\|Shears=1\|Cots=3\|Pergen=[P8/2, P4/3]\|Forms=6, 8, 14\|Title=Diploid alpha-tricot}}		{{Breadcrumb}}
			{{Infobox ploidacot\|Ploids=2\|Shears=1\|Cots=3\|Pergen=[P8/2, P4/3]\|Forms=6, 8, 14\|Title=Diploid alpha-tricot}}

	'''Diploid alpha-tricot''' is a temperament archetype with a half-octave period, and a generator that is a third of the size of a stack of a period and a perfect fifth (433.98{{c}}), but the alternative generator with size a third of a perfect fourth is rather easier to grasp.		'''Diploid alpha-tricot''' is a temperament archetype with a half-octave period, and a generator that is a third of the size of a stack of a period and a perfect fifth (433.98{{c}}), but the alternative generator with size a third of a perfect fourth is rather easier to grasp.

	Diploid alpha-tricot temperaments usually generate the [[2L 4s]], [[6L 2s]] and [[8L 6s]] MOS structures.		Diploid alpha-tricot temperaments usually generate the [[2L 4s]], [[6L 2s]], and [[8L 6s]] MOS structures.

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

Jerdle at 16:58, 6 September 2025

2025-09-06T16:58:25Z

← Older revision		Revision as of 16:58, 6 September 2025
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	{{Breadcrumb}}{{Infobox ploidacot\|Ploids=2\|Shears=1\|Cots=3\|Pergen=[P8/2, P4/3]\|Forms=6, 8, 14\|Title=Diploid alpha-tricot}}		{{Breadcrumb}}{{Infobox ploidacot\|Ploids=2\|Shears=1\|Cots=3\|Pergen=[P8/2, P4/3]\|Forms=6, 8, 14\|Title=Diploid alpha-tricot}}

	'''Diploid alpha-tricot''' is a temperament archetype with a half-octave period, and a generator that is ~~technically~~ a third of the size of a stack of a period and a perfect fifth (433.98{{c}}), but the alternative generator with size a third of a perfect fourth is rather easier to grasp.		'''Diploid alpha-tricot''' is a temperament archetype with a half-octave period, and a generator that is a third of the size of a stack of a period and a perfect fifth (433.98{{c}}), but the alternative generator with size a third of a perfect fourth is rather easier to grasp.

	Diploid alpha-tricot temperaments usually generate the [[2L 4s]], [[6L 2s]] and [[8L 6s]] MOS structures.		Diploid alpha-tricot temperaments usually generate the [[2L 4s]], [[6L 2s]] and [[8L 6s]] MOS structures.

Jerdle at 15:40, 6 September 2025

2025-09-06T15:40:53Z

← Older revision		Revision as of 15:40, 6 September 2025
Line 1:		Line 1:
	{{Breadcrumb}}{{Infobox ploidacot\|Ploids=2\|Shears=1\|Cots=3\|Pergen=[P8/2, P4/3]\|Forms=6, 8, 14\|Title=Diploid alpha-tricot}}		{{Breadcrumb}}{{Infobox ploidacot\|Ploids=2\|Shears=1\|Cots=3\|Pergen=[P8/2, P4/3]\|Forms=6, 8, 14\|Title=Diploid alpha-tricot}}

	'''Diploid alpha-tricot''' is a temperament archetype with a half-octave period, and a generator that is technically a third of the size of a stack of a period and a perfect fifth (~~434~~{{c}}), but the alternative generator with size a third of a perfect fourth is rather easier to grasp.		'''Diploid alpha-tricot''' is a temperament archetype with a half-octave period, and a generator that is technically a third of the size of a stack of a period and a perfect fifth (433.98{{c}}), but the alternative generator with size a third of a perfect fourth is rather easier to grasp.

	Diploid alpha-tricot temperaments usually generate the [[2L 4s]], [[6L 2s]] and [[8L 6s]] MOS structures.		Diploid alpha-tricot temperaments usually generate the [[2L 4s]], [[6L 2s]] and [[8L 6s]] MOS structures.

Jerdle: Created page on diploid alpha-tricot.

2025-09-06T15:40:26Z

Created page on diploid alpha-tricot.

New page

{{Breadcrumb}}{{Infobox ploidacot|Ploids=2|Shears=1|Cots=3|Pergen=[P8/2, P4/3]|Forms=6, 8, 14|Title=Diploid alpha-tricot}}

'''Diploid alpha-tricot''' is a temperament archetype with a half-octave period, and a generator that is technically a third of the size of a stack of a period and a perfect fifth (434{{c}}), but the alternative generator with size a third of a perfect fourth is rather easier to grasp.

Diploid alpha-tricot temperaments usually generate the [[2L 4s]], [[6L 2s]] and [[8L 6s]] MOS structures.

== Intervals and notation ==
The notation for diploid alpha-tricot is an extension of the notation for omega-tricot, but with a symbol for the half-octave.



== Temperament interpretations ==
Here, there is one obvious temperament, which is a 2.3.7.11/5.17 restriction of [[echidna]].

The larger generator is equated to [[9/7]] and the smaller one to [[11/10]], treating the period as [[99/70]]. This is also equated to [[17/12]], which leads to the stack of three large generators being [[17/8]].