User:Unque/Dhembrwood - Revision history

Unque at 19:49, 23 September 2025

2025-09-23T19:49:39Z

← Older revision		Revision as of 19:49, 23 September 2025
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	== Dhembrwood[9] ==		== Dhembrwood[9] ==
	Dhembrwood[9] is generated by taking the first eight notes of the Bright Dhembrwood[18] mode, and adding the octave above the root; this provides a single step that is not equivalent to the ~~Large~~ or ~~Small~~ step of Dhembrewood[18], but rather equal to the average thereof. Since the large and small steps always add up to 2\9, the average of the two steps (and therefore the size of the ~~Medium~~ step) will always be exactly 1\9.		Dhembrwood[9] is generated by taking the first eight notes of the Bright Dhembrwood[18] mode, and adding the octave above the root; this provides a single step that is not equivalent to the large or small step of Dhembrewood[18], but rather equal to the average thereof. Since the large and small steps always add up to 2\9, the average of the two steps (and therefore the size of the medium step) will always be exactly 1\9.

	Because of that medium step, all nine modes of Dhembrwood[9] are unique; these modes can be named after the Eight or Nine Dwarves from Rapunzel:		Because of that medium step, all nine modes of Dhembrwood[9] are unique; these modes can be named after the Eight or Nine Dwarves from Rapunzel:
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	* Quicksilver (sLsLsLsLM)		* Quicksilver (sLsLsLsLM)
	* ~~Cythera~~ (LsLsLsLMs)		* The Sun (LsLsLsLMs)
	* America (sLsLsLMsL)		* America (sLsLsLMsL)
	* The Moon (LsLsLMsLs)		* The Moon (LsLsLMsLs)
	* Big Jim (sLsLMsLsL)		* Big Jim (sLsLMsLsL)
	* Mount ~~Olympus~~ (LsLMsLsLs)		* Mount Fuji (LsLMsLsLs)
	* Urecrtum (sLMsLsLsL)		* Urecrtum (sLMsLsLsL)
	* SpongeBob (LMsLsLsLs)		* SpongeBob (LMsLsLsLs)
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	{\| class="wikitable"		{\| class="wikitable"
	\|+		\|+
	!Bright Gen		!Bright Gen/Large Step
	!Dark Gen		!Dark Gen/Small Step
	!Notes		!Notes
	\|-		\|-
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	\|4\45		\|4\45
	\|Not 45edo's optimal tuning of 9/5		\|Not 45edo's optimal tuning of 9/5
			\|-
			\|5\36
			\|3\36
			\|
	\|-		\|-
	\|4\27		\|4\27
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	\|~62.8c		\|~62.8c
	\|		\|
			\|-
			\|5\27
			\|1\27
			\|Definitely not 27edo's optimal tuning of 9/5
			\|-
			\|7\36
			\|1\36
			\|Doesn't even remotely pass as 9/5
	\|-		\|-
	\|2\9		\|2\9

Unque at 15:24, 8 September 2024

2024-09-08T15:24:07Z

← Older revision		Revision as of 15:24, 8 September 2024
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	== Technical Data ==		== Technical Data ==
	Dhembrwood belongs to the Subgroup 2.9/5.Kleven. It is defined by tempering such that nine [[wikipedia:Komornik–Loreti_constant\|Komornik-Loreti Constants]] (~~user~~ [[User:MissMagenta\|MissMagenta]] calls this interval the Kleventh, a clipping of "Komornik-Loreti Seventh") reduce to an octave; this maps the Kleventh (somewhat inaccurately) to 8\9.		Dhembrwood belongs to the Subgroup 2.9/5.Kleven. It is defined by tempering such that nine [[wikipedia:Komornik–Loreti_constant\|Komornik-Loreti Constants]] ([[User:MissMagenta\|MissMagenta]] calls this interval the Kleventh, a clipping of "Komornik-Loreti Seventh") reduce to an octave; this maps the Kleventh (somewhat inaccurately) to 8\9.

	Dhembrwood has a period of 2\9 (Seven Klevenths, octave-reduced) and a generator of 10/9.		Dhembrwood has a period of 2\9 (Seven Klevenths, octave-reduced) and a generator of 10/9.

Unque at 00:16, 30 August 2024

2024-08-30T00:16:12Z

← Older revision		Revision as of 00:16, 30 August 2024
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	== Music ==		== Music ==
	~~{{Todo~~\| ~~Write~~ music ~~using~~ Dhembrwood ~~\|inline=1}}~~		[[File:Swang in Bb Griselda.mp3\|thumb\|"Swang in Bb Griselda," a piece written in the Griselda mode of Dhembrwood[9]]]
			Due to first and foremost being a joke, music written in Dhembrwood is scarce, but not entirely unheard of.

	== See Also ==		== See Also ==
	[[User:MissMagenta/EDKL]]		[[User:MissMagenta/EDKL]]

Unque at 19:10, 22 August 2024

2024-08-22T19:10:16Z

← Older revision		Revision as of 19:10, 22 August 2024
Line 4:		Line 4:

	== Technical Data ==		== Technical Data ==
	Dhembrwood belongs to the Subgroup 2.9/5.Kleven~~; it~~ is defined by tempering such that nine [[wikipedia:Komornik–Loreti_constant\|Komornik-Loreti Constants]] (user [[User:MissMagenta\|MissMagenta]] calls this interval the Kleventh, a clipping of "Komornik-Loreti Seventh") ~~equal eight octaves~~. It has a period of 2\9 and a generator of 10/9.		Dhembrwood belongs to the Subgroup 2.9/5.Kleven. It is defined by tempering such that nine [[wikipedia:Komornik–Loreti_constant\|Komornik-Loreti Constants]] (user [[User:MissMagenta\|MissMagenta]] calls this interval the Kleventh, a clipping of "Komornik-Loreti Seventh") reduce to an octave; this maps the Kleventh (somewhat inaccurately) to 8\9.

			Dhembrwood has a period of 2\9 (Seven Klevenths, octave-reduced) and a generator of 10/9.

	== Dhembrwood[18] ==		== Dhembrwood[18] ==

Unque at 19:02, 22 August 2024

2024-08-22T19:02:20Z

← Older revision		Revision as of 19:02, 22 August 2024
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	\|Collapsed		\|Collapsed
	\|}		\|}

			== Music ==
			{{Todo\| Write music using Dhembrwood \|inline=1}}

	== See Also ==		== See Also ==
	~~About the Kleventh: [[User:MissMagenta/EDKL]]~~		[[User:MissMagenta/EDKL]]

	[[User:MissMagenta/~~Correspondence of~~ EDKL ~~to Equal Tunings~~]]

Unque: Created page with "{{Novelty}} Dhembrwood is a temperament originally presented as a joke, which was later refined into a scale that could debatably be considered usable. == Technical Data ==..."

2024-08-22T19:00:52Z

Created page with "{{Novelty}} Dhembrwood is a temperament originally presented as a joke, which was later refined into a scale that could debatably be considered usable. == Technical Data ==..."

New page

{{Novelty}}

Dhembrwood is a temperament originally presented as a joke, which was later refined into a scale that could debatably be considered usable.

== Technical Data ==
Dhembrwood belongs to the Subgroup 2.9/5.Kleven; it is defined by tempering such that nine [[wikipedia:Komornik–Loreti_constant|Komornik-Loreti Constants]] (user [[User:MissMagenta|MissMagenta]] calls this interval the Kleventh, a clipping of "Komornik-Loreti Seventh") equal eight octaves. It has a period of 2\9 and a generator of 10/9.

== Dhembrwood[18] ==
The parent scale for Dhembrwood is the Dhembrwood[18] scale. This scale repeats every other octave, generating a 4/1-equivalent form of the MOS scale [[9L 9s]].

If disambiguation is necessary, the two modes of this scale can be referred to "Bright Dhembrwood[18]" and "Dark Dhembrwood[18]."

== Dhembrwood[9] ==
Dhembrwood[9] is generated by taking the first eight notes of the Bright Dhembrwood[18] mode, and adding the octave above the root; this provides a single step that is not equivalent to the Large or Small step of Dhembrewood[18], but rather equal to the average thereof. Since the large and small steps always add up to 2\9, the average of the two steps (and therefore the size of the Medium step) will always be exactly 1\9.

Because of that medium step, all nine modes of Dhembrwood[9] are unique; these modes can be named after the Eight or Nine Dwarves from Rapunzel:

* Clumsy (LsLsLsLsM)
* Snoozy (sLsLsLsML)
* Cheerful (LsLsLsMLs)
* Fearful (sLsLsMLsL)
* Hyper (LsLsMLsLs)
* Hungry (sLsMLsLsL)
* Griselda (LsMLsLsLs)
* Ambidextrous (sMLsLsLsL)
* Sometimes Bewildered (MLsLsLsLs)

== Dhembrwood[9] ==
If we use the Dark Dhembrwood[18] mode instead of the Light mode, we generate Dhembrwood[9] instead; this scale also has a single medium step, and thus provides nine more unique modes to explore. These modes can be named after the nine planets of the Solar System:

* Quicksilver (sLsLsLsLM)
* Cythera (LsLsLsLMs)
* America (sLsLsLMsL)
* The Moon (LsLsLMsLs)
* Big Jim (sLsLMsLsL)
* Mount Olympus (LsLMsLsLs)
* Urecrtum (sLMsLsLsL)
* SpongeBob (LMsLsLsLs)
* Pluto (MsLsLsLsL)

== Tuning Ranges ==
Below are listed several sequences that support the Dhembrwood scales:
{| class="wikitable"
|+
!Bright Gen
!Dark Gen
!Notes
|-
|1\9
|1\9
|Equalized
|-
|6\45
|4\45
|Not 45edo's optimal tuning of 9/5
|-
|4\27
|2\27
|Basic Dhembrwood
|-
|10/9
|~84.3c
|Untempered 10/9
|-
|7\45
|3\45
|
|-
|3\18
|1\18
|
|-
|~195.9c
|25/24
|Scales harder than this are debatably not true Dhembrwood
|-
|9/8
|~62.8c
|
|-
|2\9
|0
|Collapsed
|}

== See Also ==
About the Kleventh: [[User:MissMagenta/EDKL]]

[[User:MissMagenta/Correspondence of EDKL to Equal Tunings]]