User:Unque/Dhembrwood: Difference between revisions
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Dhembrwood is a temperament originally presented as a joke, which was later refined into a scale that could debatably be considered usable. | Dhembrwood is a temperament originally presented as a joke, which was later refined into a scale that could debatably be considered usable. | ||
== Technical Data == | == Technical Data == | ||
Dhembrwood belongs to the Subgroup 2.9/5.Kleven | 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[18] == | == Dhembrwood[18] == | ||
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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 | 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) | ||
* | * The Sun (LsLsLsLMs) | ||
* America (sLsLsLMsL) | * America (sLsLsLMsL) | ||
* The Moon (LsLsLMsLs) | * The Moon (LsLsLMsLs) | ||
* Big Jim (sLsLMsLsL) | * Big Jim (sLsLMsLsL) | ||
* Mount | * 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 | ||
| Line 85: | Line 98: | ||
== Music == | == Music == | ||
[[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]] | ||