User:Unque/Dhembrwood: Difference between revisions

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== 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.

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== 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:

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* Quicksilver (sLsLsLsLM)

* ~~Cythera~~ (LsLsLsLMs)

* The Sun (LsLsLsLMs)

* America (sLsLsLMsL)

* The Moon (LsLsLMsLs)

* Big Jim (sLsLMsLsL)

* Mount ~~Olympus~~ (LsLMsLsLs)

* Mount Fuji (LsLMsLsLs)

* Urecrtum (sLMsLsLsL)

* SpongeBob (LMsLsLsLs)

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{| class="wikitable"

|+

!Bright Gen

!Bright Gen/Large Step

!Dark Gen

!Dark Gen/Small Step

!Notes

|-

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|4\45

|Not 45edo's optimal tuning of 9/5

|-

|5\36

|3\36

|

|-

|4\27

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|~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

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== 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 ==

[[User:MissMagenta/EDKL]]

@@ Line 4: / Line 4: @@
 == 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.
@@ Line 14: / Line 14: @@
 == 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:
@@ Line 32: / Line 32: @@
 * Quicksilver (sLsLsLsLM)
-* Cythera (LsLsLsLMs)
+* The Sun (LsLsLsLMs)
 * America (sLsLsLMsL)
 * The Moon (LsLsLMsLs)
 * Big Jim (sLsLMsLsL)
-* Mount Olympus (LsLMsLsLs)
+* Mount Fuji (LsLMsLsLs)
 * Urecrtum (sLMsLsLsL)
 * SpongeBob (LMsLsLsLs)
@@ Line 45: / Line 45: @@
 {| class="wikitable"
 |+
-!Bright Gen
+!Bright Gen/Large Step
-!Dark Gen
+!Dark Gen/Small Step
 !Notes
 |-
@@ Line 56: / Line 56: @@
 |4\45
 |Not 45edo's optimal tuning of 9/5
+|-
+|5\36
+|3\36
+|
 |-
 |4\27
@@ Line 80: / Line 84: @@
 |~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
@@ Line 87: / Line 99: @@
 == 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 ==
 [[User:MissMagenta/EDKL]]