Diaphonic cycle - Revision history

BudjarnLambeth: Categorised this uncategorised page

2023-04-28T08:59:26Z

Categorised this uncategorised page

← Older revision		Revision as of 08:59, 28 April 2023
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	* http://eamusic.dartmouth.edu/~larry/published_articles/divisions_of_the_tetrachord/chapter8.pdf		* http://eamusic.dartmouth.edu/~larry/published_articles/divisions_of_the_tetrachord/chapter8.pdf
	* http://anaphoria.com/helixintro.html		* http://anaphoria.com/helixintro.html
			[[Category:Erv Wilson]]
			[[Category:Harmonic series]]
			[[Category:Subharmonic series]]
			[[Category:Terms]]
			[[Category:Scale]]

Wolftune: removed the confusion of "overtone series" with "harmonic" in parens, leaving it cleaner

2022-01-22T20:20:27Z

removed the confusion of "overtone series" with "harmonic" in parens, leaving it cleaner

← Older revision		Revision as of 20:20, 22 January 2022
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	A diaphonic cycle is a type of scale described by [[Erv Wilson]] which joins two ~~overtone (~~harmonic) or ~~undertone (~~subharmonic) series segments together at a junction or disjunction, and then repeats.		A diaphonic cycle is a type of scale described by [[Erv Wilson]] which joins two harmonic or subharmonic series segments together at a junction or disjunction, and then repeats.

	For example, one of the subharmonic genus, using a junction:		For example, one of the subharmonic genus, using a junction:

Cmloegcmluin at 21:54, 15 March 2021

2021-03-15T21:54:48Z

← Older revision		Revision as of 21:54, 15 March 2021
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	\| '''lower section''' <br> (subharmonics 20 - 14) \|\| 20/20 \|\| 20/19 \|\| 20/18 \|\| 20/17 \|\| 20/16 \|\| 20/15 \|\| 20/14 \|\| \|\| \|\| \|\| \|\| \|\|		\| '''lower section''' <br> (subharmonics 20 - 14) \|\| 20/20 \|\| 20/19 \|\| 20/18 \|\| 20/17 \|\| 20/16 \|\| 20/15 \|\| 20/14 \|\| \|\| \|\| \|\| \|\| \|\|
	\|-		\|-
	\| '''combined scale''' (using LCM) \|\| 60/60 \|\| 60/57 \|\| 60/54 \|\| 60/51 \|\| 60/48 \|\| 60/45 \|\| 60/42 \|\| 60/40 \|\| 60/38 \|\| 60/36 \|\| 60/34 \|\| 60/32 \|\| (60/30)		\| '''combined scale''' <br> (using LCM) \|\| 60/60 \|\| 60/57 \|\| 60/54 \|\| 60/51 \|\| 60/48 \|\| 60/45 \|\| 60/42 \|\| 60/40 \|\| 60/38 \|\| 60/36 \|\| 60/34 \|\| 60/32 \|\| (60/30)
	\|-		\|-
	\| '''combined scale''' (reduced to lowest terms) \|\| 1/1 \|\| 20/19 \|\| 10/9 \|\| 20/17 \|\| 5/4 \|\| 4/3 \|\| 10/7 \|\| 3/2 \|\| 30/19 \|\| 5/3 \|\| 30/17 \|\| 15/8 \|\| (2/1)		\| '''combined scale''' <br> (reduced to lowest terms) \|\| 1/1 \|\| 20/19 \|\| 10/9 \|\| 20/17 \|\| 5/4 \|\| 4/3 \|\| 10/7 \|\| 3/2 \|\| 30/19 \|\| 5/3 \|\| 30/17 \|\| 15/8 \|\| (2/1)
	\|}		\|}

Cmloegcmluin at 21:54, 15 March 2021

2021-03-15T21:54:26Z

← Older revision		Revision as of 21:54, 15 March 2021
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	! scale step !! 1 !! 2 !! 3 !! 4 !! 5 !! 6 !! 7 (Junction) !! 8 !! 9 !! 10 !! 11 !! 12 !! (1)		! scale step !! 1 !! 2 !! 3 !! 4 !! 5 !! 6 !! 7 (Junction) !! 8 !! 9 !! 10 !! 11 !! 12 !! (1)
	\|-		\|-
	\| upper section \|\| \|\| \|\| \|\| \|\| \|\| \|\| 21/21 \|\| 21/20 \|\| 21/19 \|\| 21/18 \|\| 21/17 \|\| 21/16 \|\| (21/15)		\| '''upper section''' <br> (subharmonics 21 - 15, rebased onto 20/14 = 10/7) \|\| \|\| \|\| \|\| \|\| \|\| \|\| 21/21 \|\| 21/20 \|\| 21/19 \|\| 21/18 \|\| 21/17 \|\| 21/16 \|\| (21/15)
	\|-		\|-
	\| lower section \|\| 20/20 \|\| 20/19 \|\| 20/18 \|\| 20/17 \|\| 20/16 \|\| 20/15 \|\| 20/14 \|\| \|\| \|\| \|\| \|\| \|\|		\| '''lower section''' <br> (subharmonics 20 - 14) \|\| 20/20 \|\| 20/19 \|\| 20/18 \|\| 20/17 \|\| 20/16 \|\| 20/15 \|\| 20/14 \|\| \|\| \|\| \|\| \|\| \|\|
	\|-		\|-
	\| combined scale \|\| 60/60 \|\| 60/57 \|\| 60/54 \|\| 60/51 \|\| 60/48 \|\| 60/45 \|\| 60/42 \|\| 60/40 \|\| 60/38 \|\| 60/36 \|\| 60/34 \|\| 60/32 \|\| (60/30)		\| '''combined scale''' (using LCM) \|\| 60/60 \|\| 60/57 \|\| 60/54 \|\| 60/51 \|\| 60/48 \|\| 60/45 \|\| 60/42 \|\| 60/40 \|\| 60/38 \|\| 60/36 \|\| 60/34 \|\| 60/32 \|\| (60/30)
	\|-		\|-
	\| reduced \|\| 1/1 \|\| 20/19 \|\| 10/9 \|\| 20/17 \|\| 5/4 \|\| 4/3 \|\| 10/7 \|\| 3/2 \|\| 30/19 \|\| 5/3 \|\| 30/17 \|\| 15/8 \|\| (2/1)		\| '''combined scale''' (reduced to lowest terms) \|\| 1/1 \|\| 20/19 \|\| 10/9 \|\| 20/17 \|\| 5/4 \|\| 4/3 \|\| 10/7 \|\| 3/2 \|\| 30/19 \|\| 5/3 \|\| 30/17 \|\| 15/8 \|\| (2/1)
	\|}		\|}

Cmloegcmluin: just basically getting it out there

2021-03-15T17:30:34Z

just basically getting it out there

New page

A diaphonic cycle is a type of scale described by [[Erv Wilson]] which joins two overtone (harmonic) or undertone (subharmonic) series segments together at a junction or disjunction, and then repeats.

For example, one of the subharmonic genus, using a junction:

{| class="wikitable"
|-
! scale step !! 1 !! 2 !! 3 !! 4 !! 5 !! 6 !! 7 (Junction) !! 8 !! 9 !! 10 !! 11 !! 12 !! (1)
|-
| upper section || || || || || || || 21/21 || 21/20 || 21/19 || 21/18 || 21/17 || 21/16 || (21/15)
|-
| lower section || 20/20 || 20/19 || 20/18 || 20/17 || 20/16 || 20/15 || 20/14 || || || || || ||
|-
| combined scale || 60/60 || 60/57 || 60/54 || 60/51 || 60/48 || 60/45 || 60/42 || 60/40 || 60/38 || 60/36 || 60/34 || 60/32 || (60/30)
|-
| reduced || 1/1 || 20/19 || 10/9 || 20/17 || 5/4 || 4/3 || 10/7 || 3/2 || 30/19 || 5/3 || 30/17 || 15/8 || (2/1)
|}

= See also =

* http://anaphoria.com/diaphonicset.pdf
* http://eamusic.dartmouth.edu/~larry/published_articles/divisions_of_the_tetrachord/chapter8.pdf
* http://anaphoria.com/helixintro.html