15ed4 - Revision history

Fredg999 category edits: Removing from Category:Ed4 using Cat-a-lot

2025-07-31T21:18:54Z

Removing from Category:Ed4 using Cat-a-lot

← Older revision		Revision as of 21:18, 31 July 2025
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	[[Category:macrotonal]]		[[Category:macrotonal]]
	~~[[Category:Ed4]]~~

BudjarnLambeth: /* Basics */

2024-10-05T02:41:52Z

Basics

← Older revision		Revision as of 02:41, 5 October 2024
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	== Basics ==		== Basics ==
	15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).		15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).

	{{Harmonics in equal		{{Harmonics in equal
	\| steps = 15		\| steps = 15

BudjarnLambeth at 02:41, 5 October 2024

2024-10-05T02:41:44Z

← Older revision		Revision as of 02:41, 5 October 2024
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	15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).		15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).

	~~== Harmonics ==~~
	{{Harmonics in equal		{{Harmonics in equal
	\| steps = 15		\| steps = 15

BudjarnLambeth: Harmonics intervals

2024-10-05T02:40:54Z

Harmonics intervals

← Older revision		Revision as of 02:40, 5 October 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''15ED4'''~~ is ~~the [[Ed4\|equal division of the double octave]] into 15 parts of 160 [[cent\|cents]] each (~~every second step of [[15edo]]).		{{ED intro}} It is every second step of [[15edo]].

	Lookalikes: [[12edt]]		Lookalikes: [[12edt]]

	=Basics=		== Basics ==
	15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).		15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).
	~~{{harmonics in equal\|15\|4\|columns=14}}~~

	=MOS Scales=		== Harmonics ==
	There are a variety of Mos scales available. William Lynch considers the symmetrical MOS: LsLsLsLs to be the most consonant scale in 15ED4. There is also a LsLLsLLLs scale which is more spacey sounding than the symmetrical MOS. The symmetrical MOS can be harmonized with c		{{Harmonics in equal
			\| steps = 15
			\| num = 4
			\| denom = 1
			}}
			{{Harmonics in equal
			\| steps = 15
			\| num = 4
			\| denom = 1
			\| start = 12
			\| collapsed = 1
			}}

			== MOS Scales ==
			There are a variety of Mos scales available. William Lynch considers the symmetrical MOS: LsLsLsLs to be the most consonant scale in 15ED4. There is also a LsLLsLLLs scale which is more spacey sounding than the symmetrical MOS. The symmetrical MOS can be harmonized with c.

			== Intervals ==
			{{Interval table}}

	[[Category:macrotonal]]		[[Category:macrotonal]]
	[[Category:Ed4]]		[[Category:Ed4]]

Plumtree: Infobox ET

2023-05-02T10:58:47Z

Infobox ET

← Older revision		Revision as of 10:58, 2 May 2023
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			{{Infobox ET}}
	'''15ED4''' is the [[Ed4\|equal division of the double octave]] into 15 parts of 160 [[cent\|cents]] each (every second step of [[15edo]]).		'''15ED4''' is the [[Ed4\|equal division of the double octave]] into 15 parts of 160 [[cent\|cents]] each (every second step of [[15edo]]).

FloraC: Don't use wrong data even if the module has bugs

2023-05-02T09:41:50Z

Don't use wrong data even if the module has bugs

← Older revision		Revision as of 09:41, 2 May 2023
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	~~{{Infobox ET\|1ed1840616/1678131}}~~

	'''15ED4''' is the [[Ed4\|equal division of the double octave]] into 15 parts of 160 [[cent\|cents]] each (every second step of [[15edo]]).		'''15ED4''' is the [[Ed4\|equal division of the double octave]] into 15 parts of 160 [[cent\|cents]] each (every second step of [[15edo]]).

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	=Basics=		=Basics=
	15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).		15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).
			{{harmonics in equal\|15\|4\|columns=14}}

	=MOS Scales=		=MOS Scales=
	There are a variety of Mos scales available. William Lynch considers the symmetrical MOS: LsLsLsLs to be the most consonant scale in 15ED4. There is also a LsLLsLLLs scale which is more spacey sounding than the symmetrical MOS. The symmetrical MOS can be harmonized with c		There are a variety of Mos scales available. William Lynch considers the symmetrical MOS: LsLsLsLs to be the most consonant scale in 15ED4. There is also a LsLLsLLLs scale which is more spacey sounding than the symmetrical MOS. The symmetrical MOS can be harmonized with c

CompactStar at 04:03, 2 May 2023

2023-05-02T04:03:42Z

← Older revision		Revision as of 04:03, 2 May 2023
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	{{Infobox ET\|~~15ed40001~~/~~10000~~}}		{{Infobox ET\|1ed1840616/1678131}}

	'''15ED4''' is the [[Ed4\|equal division of the double octave]] into 15 parts of 160 [[cent\|cents]] each (every second step of [[15edo]]).		'''15ED4''' is the [[Ed4\|equal division of the double octave]] into 15 parts of 160 [[cent\|cents]] each (every second step of [[15edo]]).

CompactStar at 23:08, 20 March 2023

2023-03-20T23:08:10Z

← Older revision		Revision as of 23:08, 20 March 2023
Line 7:		Line 7:
	=Basics=		=Basics=
	15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).		15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).
	~~{{harmonics in equal\|15\|40001/10000\|columns=14}}~~

	=MOS Scales=		=MOS Scales=
	There are a variety of Mos scales available. William Lynch considers the symmetrical MOS: LsLsLsLs to be the most consonant scale in 15ED4. There is also a LsLLsLLLs scale which is more spacey sounding than the symmetrical MOS. The symmetrical MOS can be harmonized with c		There are a variety of Mos scales available. William Lynch considers the symmetrical MOS: LsLsLsLs to be the most consonant scale in 15ED4. There is also a LsLLsLLLs scale which is more spacey sounding than the symmetrical MOS. The symmetrical MOS can be harmonized with c

CompactStar at 23:08, 20 March 2023

2023-03-20T23:08:05Z

← Older revision		Revision as of 23:08, 20 March 2023
Line 7:		Line 7:
	=Basics=		=Basics=
	15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).		15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).
	{{harmonics in equal\|40001\|10000\|columns=14}}		{{harmonics in equal\|15\|40001/10000\|columns=14}}

	=MOS Scales=		=MOS Scales=

CompactStar at 23:07, 20 March 2023

2023-03-20T23:07:50Z

← Older revision		Revision as of 23:07, 20 March 2023
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	{{Infobox ET\|~~45ed64~~}}		{{Infobox ET\|15ed40001/10000}}

	'''15ED4''' is the [[Ed4\|equal division of the double octave]] into 15 parts of 160 [[cent\|cents]] each (every second step of [[15edo]]).		'''15ED4''' is the [[Ed4\|equal division of the double octave]] into 15 parts of 160 [[cent\|cents]] each (every second step of [[15edo]]).

Line 6:		Line 7:
	=Basics=		=Basics=
	15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).		15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen\|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt\|12EDT]]).
	{{harmonics in equal\|45\|64\|columns=14}}		{{harmonics in equal\|40001\|10000\|columns=14}}

	=MOS Scales=		=MOS Scales=