TOH - Revision history

ArrowHead294 at 19:17, 13 March 2025

2025-03-13T19:17:44Z

← Older revision		Revision as of 19:17, 13 March 2025
Line 6:		Line 6:

	[[File:TOH 1 through 4 on C.png\|left\|thumb\|960x960px\|The first four tritaves of odd harmonics, on C, notated using [[Richie's HEJI extensions]].]]		[[File:TOH 1 through 4 on C.png\|left\|thumb\|960x960px\|The first four tritaves of odd harmonics, on C, notated using [[Richie's HEJI extensions]].]]

	{\| class="wikitable"		{\| class="wikitable"
	\|+1-TOH		\|+ style="font-size: 105%" \| 1-TOH
	!step		! step
	!0		! 0
	!1		! 1
	\|-		\|-
	\|~~pitch~~		\| Pitch
	\|(1/1)		\| (1/1)
	\|3/1		\| 3/1
	\|-		\|-
	\|~~reduced~~		\| Reduced
	\|(1/1)		\| (1/1)
	\|3/1		\| 3/1
	\|}		\|}
	{\| class="wikitable"		{\| class="wikitable"
	\|+2-TOH		\|+ 2-TOH
	!~~step~~		! Step
	!0		! 0
	!1		! 1
	!2		! 2
	!3		! 3
	\|-		\|-
	\|~~pitch~~		\| Pitch
	\|(3/3)		\| (3/3)
	\|5/3		\| 5/3
	\|7/3		\| 7/3
	\|9/3		\| 9/3
	\|-		\|-
	\|~~reduced~~		\| Reduced
	\|(1/1)		\| (1/1)
	\|5/3		\| 5/3
	\|7/3		\| 7/3
	\|3/1		\| 3/1
	\|}		\|}

	{\| class="wikitable"		{\| class="wikitable"
	\|+3-TOH		\|+ style="font-size: 105%" \| 3-TOH
	!~~step~~		\|-
	!0		! Step
	!1		! 0
	!2		! 1
	!3		! 2
	!4		! 3
	!5		! 4
	!6		! 5
	!7		! 6
	!8		! 7
	!9		! 8
			! 9
	\|-		\|-
	\|~~pitch~~		\| Pitch
	\|(9/9)		\| (9/9)
	\|11/9		\| 11/9
	\|13/9		\| 13/9
	\|15/9		\| 15/9
	\|17/9		\| 17/9
	\|19/9		\| 19/9
	\|21/9		\| 21/9
	\|23/9		\| 23/9
	\|25/9		\| 25/9
	\|27/9		\| 27/9
	\|-		\|-
	\|~~reduced~~		\| Reduced
	\|(1/1)		\| (1/1)
	\|11/9		\| 11/9
	\|13/9		\| 13/9
	\|5/3		\| 5/3
	\|17/9		\| 17/9
	\|19/9		\| 19/9
	\|7/3		\| 7/3
	\|23/9		\| 23/9
	\|25/9		\| 25/9
	\|3/1		\| 3/1
	\|}		\|}

	== Listening ==		== Listening ==
	https://soundcloud.com/cmloegcmluin/sets/third-tritave-odd-harmonics		https://soundcloud.com/cmloegcmluin/sets/third-tritave-odd-harmonics

	[[Category:Harmonic series]]		[[Category:Harmonic series]]
	[[Category:Tritave]]		[[Category:Tritave]]
	[[Category:Tables]]		[[Category:Tables]]

Fredg999: Reference Richie's notation in the caption

2023-06-05T04:03:07Z

Reference Richie's notation in the caption

← Older revision		Revision as of 04:03, 5 June 2023
Line 5:		Line 5:
	It is similar in concept to an octave of the [[harmonic series]], a special case of a [[Overtone scales\|mode of the harmonic series]] where the mode is a power of 2. However, here the tuning spans (and repeats at) the [[tritave]], and includes only [[Oddharmonic series\|odds]].		It is similar in concept to an octave of the [[harmonic series]], a special case of a [[Overtone scales\|mode of the harmonic series]] where the mode is a power of 2. However, here the tuning spans (and repeats at) the [[tritave]], and includes only [[Oddharmonic series\|odds]].

	[[File:TOH 1 through 4 on C.png\|left\|thumb\|960x960px\|The first four tritaves of odd harmonics, on C.]]		[[File:TOH 1 through 4 on C.png\|left\|thumb\|960x960px\|The first four tritaves of odd harmonics, on C, notated using [[Richie's HEJI extensions]].]]
	{\| class="wikitable"		{\| class="wikitable"
	\|+1-TOH		\|+1-TOH

Cmloegcmluin: add Richie Greene's excellent staff notated rendition of the first four TOH

2023-06-04T22:55:24Z

add Richie Greene's excellent staff notated rendition of the first four TOH

← Older revision		Revision as of 22:55, 4 June 2023
Line 4:		Line 4:

	It is similar in concept to an octave of the [[harmonic series]], a special case of a [[Overtone scales\|mode of the harmonic series]] where the mode is a power of 2. However, here the tuning spans (and repeats at) the [[tritave]], and includes only [[Oddharmonic series\|odds]].		It is similar in concept to an octave of the [[harmonic series]], a special case of a [[Overtone scales\|mode of the harmonic series]] where the mode is a power of 2. However, here the tuning spans (and repeats at) the [[tritave]], and includes only [[Oddharmonic series\|odds]].

			[[File:TOH 1 through 4 on C.png\|left\|thumb\|960x960px\|The first four tritaves of odd harmonics, on C.]]
	{\| class="wikitable"		{\| class="wikitable"
	\|+1-TOH		\|+1-TOH

BudjarnLambeth at 04:52, 26 April 2023

2023-04-26T04:52:10Z

← Older revision		Revision as of 04:52, 26 April 2023
Line 81:		Line 81:
	[[Category:Harmonic series]]		[[Category:Harmonic series]]
	[[Category:Tritave]]		[[Category:Tritave]]
			[[Category:Tables]]

BudjarnLambeth: Categorised this uncategorised page

2023-04-26T04:51:56Z

Categorised this uncategorised page

← Older revision		Revision as of 04:51, 26 April 2023
Line 79:		Line 79:
	== Listening ==		== Listening ==
	https://soundcloud.com/cmloegcmluin/sets/third-tritave-odd-harmonics		https://soundcloud.com/cmloegcmluin/sets/third-tritave-odd-harmonics
			[[Category:Harmonic series]]
			[[Category:Tritave]]

Cmloegcmluin at 19:27, 1 April 2021

2021-04-01T19:27:09Z

← Older revision		Revision as of 19:27, 1 April 2021
Line 76:		Line 76:
	\|3/1		\|3/1
	\|}		\|}

			== Listening ==
			https://soundcloud.com/cmloegcmluin/sets/third-tritave-odd-harmonics

Cmloegcmluin at 19:25, 1 April 2021

2021-04-01T19:25:51Z

@@ Line 1: / Line 1: @@
-An '''n-TOH''' stands for the nth tritave of odd harmonics.
+An '''n-TOH''' (pronounced /toʊ/, like "toe") stands for the nth tritave of odd harmonics.
 TOHs reject factors of 2 in JI ratios, having a [[prime minimum]] of 3 (similar to [[Bohlen-Pierce]]).
-(tables forthcoming, as soon as I can use Edit instead of Edit Source after creating the page)
+It is similar in concept to an octave of the [[harmonic series]], a special case of a [[Overtone scales|mode of the harmonic series]] where the mode is a power of 2. However, here the tuning spans (and repeats at) the [[tritave]], and includes only [[Oddharmonic series|odds]].

Cmloegcmluin: Created page with "An '''n-TOH''' stands for the nth tritave of odd harmonics. TOHs reject factors of 2 in JI ratios, having a prime minimum of 3 (similar to Bohlen-Pierce). (tables f..."

2021-04-01T19:18:01Z

Created page with "An '''n-TOH''' stands for the nth tritave of odd harmonics. TOHs reject factors of 2 in JI ratios, having a prime minimum of 3 (similar to Bohlen-Pierce). (tables f..."

New page

An '''n-TOH''' stands for the nth tritave of odd harmonics.

TOHs reject factors of 2 in JI ratios, having a [[prime minimum]] of 3 (similar to [[Bohlen-Pierce]]).

(tables forthcoming, as soon as I can use Edit instead of Edit Source after creating the page)