81/20 - Revision history

FloraC: Update linking; misc. cleanup

2025-02-26T17:04:54Z

Update linking; misc. cleanup

← Older revision		Revision as of 17:04, 26 February 2025
Line 3:		Line 3:
	\| Color name = g15, gu double octave		\| Color name = g15, gu double octave
	}}		}}
	The ratio of '''81/20''' is the distance between the 81st and 20th [[harmonic]], which can be seen as a [[4/1\|double octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[6/5]]'s and 3 [[5/4]]'s. This suggests that an [[octave stretch]] of half a syntonic comma is a good way to optimise a [[diatonic scale]] for [[~~Just~~ intonation\|pure]] thirds, resulting in whole tones of approximately 193 cents and [[semitone]]s of 122.		The ratio of '''81/20''' is the distance between the 81st and 20th [[harmonic]], which can be seen as a [[4/1\|double octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking four [[6/5]]'s and three [[5/4]]'s. This suggests that an [[octave stretch]] of half a syntonic comma is a good way to optimise a [[diatonic scale]] for [[just intonation\|pure]] thirds, resulting in whole tones of approximately 193 cents and [[semitone (interval region)\|semitones]] of 122.

	~~[[Category:Octave]]~~
	~~{{todo\|categorize}}~~

BudjarnLambeth: Change/remove expand/stub in accordance with XW:IntTodo

2025-01-03T07:57:13Z

Change/remove expand/stub in accordance with XW:IntTodo

← Older revision		Revision as of 07:57, 3 January 2025
Line 3:		Line 3:
	\| Color name = g15, gu double octave		\| Color name = g15, gu double octave
	}}		}}
	The ratio of '''81/20''' is the distance between the 81st and 20th harmonic, which can be seen as a [[4/1\|double octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[6/5]]'s and 3 [[5/4]]'s. This suggests that an octave stretch of half a syntonic comma is a good way to optimise a diatonic scale for pure thirds, resulting in whole tones of approximately 193 cents and ~~semitones~~ of 122.		The ratio of '''81/20''' is the distance between the 81st and 20th [[harmonic]], which can be seen as a [[4/1\|double octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[6/5]]'s and 3 [[5/4]]'s. This suggests that an [[octave stretch]] of half a syntonic comma is a good way to optimise a [[diatonic scale]] for [[Just intonation\|pure]] thirds, resulting in whole tones of approximately 193 cents and [[semitone]]s of 122.

	[[Category:Octave]]		[[Category:Octave]]
	{{todo~~\|expand~~\|categorize}}		{{todo\|categorize}}

Yourmusic Productions: formatting

2024-09-22T18:06:41Z

formatting

← Older revision		Revision as of 18:06, 22 September 2024
Line 3:		Line 3:
	\| Color name = g15, gu double octave		\| Color name = g15, gu double octave
	}}		}}
	The ratio of '''81/20''' is the distance between the 81st and 20th harmonic, which can be seen as a ~~double~~ [[octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[6/5]]'s and 3 [[5/4]]'s. This suggests that an octave stretch of half a syntonic comma is a good way to optimise a diatonic scale for pure thirds, resulting in whole tones of approximately 193 cents and semitones of 122.		The ratio of '''81/20''' is the distance between the 81st and 20th harmonic, which can be seen as a [[4/1\|double octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[6/5]]'s and 3 [[5/4]]'s. This suggests that an octave stretch of half a syntonic comma is a good way to optimise a diatonic scale for pure thirds, resulting in whole tones of approximately 193 cents and semitones of 122.

	[[Category:Octave]]		[[Category:Octave]]
	{{todo\|expand\|categorize}}		{{todo\|expand\|categorize}}

Yourmusic Productions: Expansion.

2024-09-22T13:40:40Z

Expansion.

← Older revision		Revision as of 13:40, 22 September 2024
Line 3:		Line 3:
	\| Color name = g15, gu double octave		\| Color name = g15, gu double octave
	}}		}}
	The ratio of '''81/20''' is the distance between the 81st and 20th harmonic, which can be seen as a double [[octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[6/5]]'s and 3 [[5/4]]'s. This suggests that an octave stretch of half a syntonic comma is a good way to optimise a diatonic scale for pure thirds.		The ratio of '''81/20''' is the distance between the 81st and 20th harmonic, which can be seen as a double [[octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[6/5]]'s and 3 [[5/4]]'s. This suggests that an octave stretch of half a syntonic comma is a good way to optimise a diatonic scale for pure thirds, resulting in whole tones of approximately 193 cents and semitones of 122.

	[[Category:Octave]]		[[Category:Octave]]
	{{todo\|expand\|categorize}}		{{todo\|expand\|categorize}}

Yourmusic Productions: formatting

2024-09-22T13:38:26Z

formatting

← Older revision		Revision as of 13:38, 22 September 2024
Line 3:		Line 3:
	\| Color name = g15, gu double octave		\| Color name = g15, gu double octave
	}}		}}
	The ratio of '''81/20''' is the distance between the 81st and 20th harmonic, which can be seen as an [[octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[6/5]]'s and 3 [[5/4]]'s. This suggests that an octave stretch of half a syntonic comma is a good way to optimise a diatonic scale for pure thirds.		The ratio of '''81/20''' is the distance between the 81st and 20th harmonic, which can be seen as a double [[octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[6/5]]'s and 3 [[5/4]]'s. This suggests that an octave stretch of half a syntonic comma is a good way to optimise a diatonic scale for pure thirds.

	[[Category:Octave]]		[[Category:Octave]]
	{{todo\|expand\|categorize}}		{{todo\|expand\|categorize}}

Yourmusic Productions: formatting

2024-09-22T13:32:58Z

formatting

← Older revision		Revision as of 13:32, 22 September 2024
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	\| Name = syntonic octave		\| Name = syntonic double octave
	\| Color name = g15, gu double octave		\| Color name = g15, gu double octave
	}}		}}
	The ratio of '''81/20''' is the distance between the 81st and 20th harmonic, which can be seen as an [[octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[[6/5]]]'s and 3 [[5/4]]'s. This suggests that an octave stretch of half a syntonic comma is a good way to optimise a diatonic scale for pure thirds.		The ratio of '''81/20''' is the distance between the 81st and 20th harmonic, which can be seen as an [[octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[6/5]]'s and 3 [[5/4]]'s. This suggests that an octave stretch of half a syntonic comma is a good way to optimise a diatonic scale for pure thirds.

	[[Category:Octave]]		[[Category:Octave]]
	{{todo\|expand\|categorize}}		{{todo\|expand\|categorize}}

Yourmusic Productions: Create Page.

2024-09-22T13:32:17Z

Create Page.

New page

{{Infobox Interval
| Name = syntonic octave
| Color name = g15, gu double octave
}}
The ratio of '''81/20''' is the distance between the 81st and 20th harmonic, which can be seen as an [[octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[[6/5]]]'s and 3 [[5/4]]'s. This suggests that an octave stretch of half a syntonic comma is a good way to optimise a diatonic scale for pure thirds.

[[Category:Octave]]
{{todo|expand|categorize}}