1953 scale - Revision history

Fredg999: Remove comment about "naughty" harmonic (XW:NG)

2025-08-21T21:06:17Z

Remove comment about "naughty" harmonic (XW:NG)

← Older revision		Revision as of 21:06, 21 August 2025
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	This scale's 5-limit performance is amazing; in the 7-limit department it does not perform as well unless we choose to use a non-patent val for 7 (which tempers out the septimal diesis [[49/48]], much as 19edo itself does). The harmonic seventh tetrad can only be voiced using this alternate val, but it's possible to voice the subminor triad (6:7:9) using the ''patent'' 7 as well.		This scale's 5-limit performance is amazing; in the 7-limit department it does not perform as well unless we choose to use a non-patent val for 7 (which tempers out the septimal diesis [[49/48]], much as 19edo itself does). The harmonic seventh tetrad can only be voiced using this alternate val, but it's possible to voice the subminor triad (6:7:9) using the ''patent'' 7 as well.

	The eleventh harmonic does not appear ~~(although this might not necessarily be a bad thing for those who consider it [[User:MasonGreen1/Naughty and nice harmonics\|naughty]])~~. The thirteenth harmonic does appear and the half-suspended triad 10:13:15 is common. This makes the 1953 scale an ideal scale for exploring the possibilities of the 13th harmonic alongside the more familiar 5 and 7, and it can be considered a tuning of the 3.5.7.13 subset.		The eleventh harmonic does not appear. The thirteenth harmonic does appear and the half-suspended triad 10:13:15 is common. This makes the 1953 scale an ideal scale for exploring the possibilities of the 13th harmonic alongside the more familiar 5 and 7, and it can be considered a tuning of the 3.5.7.13 subset.

	The distances (in 53edo scale degrees) between adjacent notes of the 1953 scale are 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2.		The distances (in 53edo scale degrees) between adjacent notes of the 1953 scale are 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2.

Fredg999: Update link

2025-08-21T20:58:42Z

Update link

← Older revision		Revision as of 20:58, 21 August 2025
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	This scale's 5-limit performance is amazing; in the 7-limit department it does not perform as well unless we choose to use a non-patent val for 7 (which tempers out the septimal diesis [[49/48]], much as 19edo itself does). The harmonic seventh tetrad can only be voiced using this alternate val, but it's possible to voice the subminor triad (6:7:9) using the ''patent'' 7 as well.		This scale's 5-limit performance is amazing; in the 7-limit department it does not perform as well unless we choose to use a non-patent val for 7 (which tempers out the septimal diesis [[49/48]], much as 19edo itself does). The harmonic seventh tetrad can only be voiced using this alternate val, but it's possible to voice the subminor triad (6:7:9) using the ''patent'' 7 as well.

	The eleventh harmonic does not appear (although this might not necessarily be a bad thing for those who consider it [[~~Naughty_and_nice_harmonics~~\|naughty]]). The thirteenth harmonic does appear and the half-suspended triad 10:13:15 is common. This makes the 1953 scale an ideal scale for exploring the possibilities of the 13th harmonic alongside the more familiar 5 and 7, and it can be considered a tuning of the 3.5.7.13 subset.		The eleventh harmonic does not appear (although this might not necessarily be a bad thing for those who consider it [[User:MasonGreen1/Naughty and nice harmonics\|naughty]]). The thirteenth harmonic does appear and the half-suspended triad 10:13:15 is common. This makes the 1953 scale an ideal scale for exploring the possibilities of the 13th harmonic alongside the more familiar 5 and 7, and it can be considered a tuning of the 3.5.7.13 subset.

	The distances (in 53edo scale degrees) between adjacent notes of the 1953 scale are 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2.		The distances (in 53edo scale degrees) between adjacent notes of the 1953 scale are 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2.

VectorGraphics at 00:49, 31 May 2025

2025-05-31T00:49:30Z

← Older revision		Revision as of 00:49, 31 May 2025
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	{{main\|53edo\|Kleismic MOSes}}		{{main\|53edo\|Kleismic MOSes}}

	The '''1953 scale''' is ~~Mason Green's~~ name for ~~a nineteen-note subset of~~ [[~~53edo\|53edo~~]] ~~(a MOS). It is a 15L 4s~~ scale (it has 15 long intervals 3 53-edosteps wide, plus 4 short intervals 2 steps wide).		The '''1953 scale''' is the name for the [[15L 4s]] [[kleismic]] "enharmonic" scale tuned in 53edo - it has 15 long intervals 3 53-edosteps wide, plus 4 short intervals 2 steps wide, and works best in 2.3.5.13.

	This scale offers a possible alternative to [[19edo\|19edo]] as a way of expanding beyond 12edo. Unlike 19edo, whose fifths are all significantly flat, the 1953 scale has nearly perfect fifths, making it sound potentially more like 12edo. Its major thirds are also significantly better than those of 19edo.		This scale offers a possible alternative to [[19edo\|19edo]] as a way of expanding beyond 12edo. Unlike 19edo, whose fifths are all significantly flat, the 1953 scale has nearly perfect fifths, making it sound potentially more like 12edo. Its major thirds are also significantly better than those of 19edo.
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	Although the abundance of wolf fifths might seem like a disadvantage, composers may use them strategically to add expression to a piece (as [https://en.wikipedia.org/wiki/Blue_note blue note]s). Another option is to use them as melodic intervals (in melodic lines or modulation) rather than played together harmonically, which lessens the unpleasant effect of the "wolfiness" and can also be used to add expression.		Although the abundance of wolf fifths might seem like a disadvantage, composers may use them strategically to add expression to a piece (as [https://en.wikipedia.org/wiki/Blue_note blue note]s). Another option is to use them as melodic intervals (in melodic lines or modulation) rather than played together harmonically, which lessens the unpleasant effect of the "wolfiness" and can also be used to add expression.

	~~The generator for this scale is a just minor third, making this a [[Hanson\|Hanson]] MOS.~~ One thing that 19edo and 53edo have in common is that both have near-just minor thirds; thus, using minor thirds to generate a 19-note scale in 53edo is a natural option.		One thing that 19edo and 53edo have in common is that both have near-just minor thirds; thus, using minor thirds to generate a 19-note scale in 53edo is a natural option.

	Because it has only nineteen notes, the 1953 scale is ideal for keyboard instruments (19-keys-per-octave pianos do exist and have been made for centuries, although they are less common than their 12-key cousins). The [[Skip fretting system 53 3 14]] for stringed instruments also makes this scale intuitively accessible using only the open strings and first four frets, while still allowing the full gamut of 53edo further up the neck.		Because it has only nineteen notes, the 1953 scale is ideal for keyboard instruments (19-keys-per-octave pianos do exist and have been made for centuries, although they are less common than their 12-key cousins). The [[Skip fretting system 53 3 14]] for stringed instruments also makes this scale intuitively accessible using only the open strings and first four frets, while still allowing the full gamut of 53edo further up the neck.

	This scale's 5-limit performance is amazing; in the 7-limit department it does not perform as well unless we choose to use a non-patent val for 7 (which tempers out the septimal ~~comma~~, much as 19edo itself does). The harmonic seventh tetrad can only be voiced using this alternate val, but it's possible to voice the subminor triad (6:7:9) using the ''patent'' 7 as well.		This scale's 5-limit performance is amazing; in the 7-limit department it does not perform as well unless we choose to use a non-patent val for 7 (which tempers out the septimal diesis [[49/48]], much as 19edo itself does). The harmonic seventh tetrad can only be voiced using this alternate val, but it's possible to voice the subminor triad (6:7:9) using the ''patent'' 7 as well.

	The eleventh harmonic does not appear (although this might not necessarily be a bad thing for those who consider it [[Naughty_and_nice_harmonics\|naughty]]). The thirteenth harmonic does appear and the half-suspended triad 10:13:15 is common. This makes the 1953 scale an ideal scale for exploring the possibilities of the 13th harmonic alongside the more familiar 5 and 7, and it can be considered a tuning of the 3.5.7.13 subset.		The eleventh harmonic does not appear (although this might not necessarily be a bad thing for those who consider it [[Naughty_and_nice_harmonics\|naughty]]). The thirteenth harmonic does appear and the half-suspended triad 10:13:15 is common. This makes the 1953 scale an ideal scale for exploring the possibilities of the 13th harmonic alongside the more familiar 5 and 7, and it can be considered a tuning of the 3.5.7.13 subset.

VectorGraphics: pretty sure the convention is to avoid using specialized names for edosteps, except for 1200edo

2025-05-31T00:40:32Z

pretty sure the convention is to avoid using specialized names for edosteps, except for 1200edo

← Older revision		Revision as of 00:40, 31 May 2025
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	{{main\|53edo\|Kleismic MOSes}}		{{main\|53edo\|Kleismic MOSes}}

	The '''1953 scale''' is Mason Green's name for a nineteen-note subset of [[53edo\|53edo]] (a MOS). It is a 15L~~+4S~~ scale (it has 15 long intervals 3 ~~[[Holdrian_comma\|Holdrian commas]]~~ wide, plus 4 short intervals 2 ~~Holdrians~~ wide).		The '''1953 scale''' is Mason Green's name for a nineteen-note subset of [[53edo\|53edo]] (a MOS). It is a 15L 4s scale (it has 15 long intervals 3 53-edosteps wide, plus 4 short intervals 2 steps wide).

	This scale offers a possible alternative to [[19edo\|19edo]] as a way of expanding beyond 12edo. Unlike 19edo, whose fifths are all significantly flat, the 1953 scale has nearly perfect fifths, making it sound potentially more like 12edo. Its major thirds are also significantly better than those of 19edo.		This scale offers a possible alternative to [[19edo\|19edo]] as a way of expanding beyond 12edo. Unlike 19edo, whose fifths are all significantly flat, the 1953 scale has nearly perfect fifths, making it sound potentially more like 12edo. Its major thirds are also significantly better than those of 19edo.

ArrowHead294 at 20:00, 30 May 2025

2025-05-30T20:00:44Z

← Older revision		Revision as of 20:00, 30 May 2025
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	{{~~breadcrumb~~\|53edo}}		{{main\|53edo\|Kleismic MOSes}}
	~~{{breadcrumb~~\|Kleismic MOSes}}

	The '''1953 scale''' is Mason Green's name for a nineteen-note subset of [[53edo\|53edo]] (a MOS). It is a 15L+4S scale (it has 15 long intervals 3 [[Holdrian_comma\|Holdrian commas]] wide, plus 4 short intervals 2 Holdrians wide).		The '''1953 scale''' is Mason Green's name for a nineteen-note subset of [[53edo\|53edo]] (a MOS). It is a 15L+4S scale (it has 15 long intervals 3 [[Holdrian_comma\|Holdrian commas]] wide, plus 4 short intervals 2 Holdrians wide).

Lériendil at 06:52, 16 May 2025

2025-05-16T06:52:42Z

← Older revision		Revision as of 06:52, 16 May 2025
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			{{breadcrumb\|53edo}}
			{{breadcrumb\|Kleismic MOSes}}

	The '''1953 scale''' is Mason Green's name for a nineteen-note subset of [[53edo\|53edo]] (a MOS). It is a 15L+4S scale (it has 15 long intervals 3 [[Holdrian_comma\|Holdrian commas]] wide, plus 4 short intervals 2 Holdrians wide).		The '''1953 scale''' is Mason Green's name for a nineteen-note subset of [[53edo\|53edo]] (a MOS). It is a 15L+4S scale (it has 15 long intervals 3 [[Holdrian_comma\|Holdrian commas]] wide, plus 4 short intervals 2 Holdrians wide).

VectorGraphics: this is not on userspace

2025-05-16T06:33:14Z

this is not on userspace

← Older revision		Revision as of 06:33, 16 May 2025
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	The '''1953 scale''' is ~~my (~~Mason Green's) name for a nineteen-note subset of [[53edo\|53edo]] (a MOS). It is a 15L+4S scale (it has 15 long intervals 3 [[Holdrian_comma\|Holdrian commas]] wide, plus 4 short intervals 2 Holdrians wide).		The '''1953 scale''' is Mason Green's name for a nineteen-note subset of [[53edo\|53edo]] (a MOS). It is a 15L+4S scale (it has 15 long intervals 3 [[Holdrian_comma\|Holdrian commas]] wide, plus 4 short intervals 2 Holdrians wide).

	This scale offers a possible alternative to [[19edo\|19edo]] as a way of expanding beyond 12edo. Unlike 19edo, whose fifths are all significantly flat, the 1953 scale has nearly perfect fifths, making it sound potentially more like 12edo. Its major thirds are also significantly better than those of 19edo.		This scale offers a possible alternative to [[19edo\|19edo]] as a way of expanding beyond 12edo. Unlike 19edo, whose fifths are all significantly flat, the 1953 scale has nearly perfect fifths, making it sound potentially more like 12edo. Its major thirds are also significantly better than those of 19edo.

Yourmusic Productions: Update to reflect advances in skip-fretting design since this was originally written.

2022-07-26T13:29:53Z

Update to reflect advances in skip-fretting design since this was originally written.

← Older revision		Revision as of 13:29, 26 July 2022
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	The generator for this scale is a just minor third, making this a [[Hanson\|Hanson]] MOS. One thing that 19edo and 53edo have in common is that both have near-just minor thirds; thus, using minor thirds to generate a 19-note scale in 53edo is a natural option.		The generator for this scale is a just minor third, making this a [[Hanson\|Hanson]] MOS. One thing that 19edo and 53edo have in common is that both have near-just minor thirds; thus, using minor thirds to generate a 19-note scale in 53edo is a natural option.

	Because it has only nineteen notes, the 1953 scale is ideal for keyboard instruments (19-keys-per-octave pianos do exist and have been made for centuries, although they are less common than their 12-key cousins). ~~Since it's non-equally-tempered, it might be more difficult to design a guitar to play in~~ this scale ~~although it's probably possible~~.		Because it has only nineteen notes, the 1953 scale is ideal for keyboard instruments (19-keys-per-octave pianos do exist and have been made for centuries, although they are less common than their 12-key cousins). The [[Skip fretting system 53 3 14]] for stringed instruments also makes this scale intuitively accessible using only the open strings and first four frets, while still allowing the full gamut of 53edo further up the neck.

	This scale's 5-limit performance is amazing; in the 7-limit department it does not perform as well unless we choose to use a non-patent val for 7 (which tempers out the septimal comma, much as 19edo itself does). The harmonic seventh tetrad can only be voiced using this alternate val, but it's possible to voice the subminor triad (6:7:9) using the ''patent'' 7 as well.		This scale's 5-limit performance is amazing; in the 7-limit department it does not perform as well unless we choose to use a non-patent val for 7 (which tempers out the septimal comma, much as 19edo itself does). The harmonic seventh tetrad can only be voiced using this alternate val, but it's possible to voice the subminor triad (6:7:9) using the ''patent'' 7 as well.

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

2022-02-25T14:54:41Z

Removing from Category:Scales using Cat-a-lot

← Older revision		Revision as of 14:54, 25 February 2022
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	[[Category:53edo]]		[[Category:53edo]]
	[[Category:modes]]		[[Category:modes]]
	~~[[Category:scales]]~~

Fredg999 category edits: Moving from Category:19-tone to Category:19-tone scales using Cat-a-lot

2022-02-25T03:01:05Z

Moving from Category:19-tone to Category:19-tone scales using Cat-a-lot

← Older revision		Revision as of 03:01, 25 February 2022
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	</li><li>3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3		</li><li>3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3

	</li><li>3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2</li></ul> [[Category:19-tone]]		</li><li>3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2</li></ul> [[Category:19-tone scales]]
	[[Category:53edo]]		[[Category:53edo]]
	[[Category:modes]]		[[Category:modes]]
	[[Category:scales]]		[[Category:scales]]

← Older revision		Revision as of 00:40, 31 May 2025
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	{{main\|53edo\|Kleismic MOSes}}		{{main\|53edo\|Kleismic MOSes}}

	The '''1953 scale''' is Mason Green's name for a nineteen-note subset of [[53edo\|53edo]] (a MOS). It is a 15L~~+4S~~ scale (it has 15 long intervals 3 ~~[[Holdrian_comma\|Holdrian commas]]~~ wide, plus 4 short intervals 2 ~~Holdrians~~ wide).		The '''1953 scale''' is Mason Green's name for a nineteen-note subset of [[53edo\|53edo]] (a MOS). It is a 15L 4s scale (it has 15 long intervals 3 53-edosteps wide, plus 4 short intervals 2 steps wide).

	This scale offers a possible alternative to [[19edo\|19edo]] as a way of expanding beyond 12edo. Unlike 19edo, whose fifths are all significantly flat, the 1953 scale has nearly perfect fifths, making it sound potentially more like 12edo. Its major thirds are also significantly better than those of 19edo.		This scale offers a possible alternative to [[19edo\|19edo]] as a way of expanding beyond 12edo. Unlike 19edo, whose fifths are all significantly flat, the 1953 scale has nearly perfect fifths, making it sound potentially more like 12edo. Its major thirds are also significantly better than those of 19edo.

← Older revision		Revision as of 20:00, 30 May 2025
Line 1:		Line 1:
	{{~~breadcrumb~~\|53edo}}		{{main\|53edo\|Kleismic MOSes}}
	~~{{breadcrumb~~\|Kleismic MOSes}}

	The '''1953 scale''' is Mason Green's name for a nineteen-note subset of [[53edo\|53edo]] (a MOS). It is a 15L+4S scale (it has 15 long intervals 3 [[Holdrian_comma\|Holdrian commas]] wide, plus 4 short intervals 2 Holdrians wide).		The '''1953 scale''' is Mason Green's name for a nineteen-note subset of [[53edo\|53edo]] (a MOS). It is a 15L+4S scale (it has 15 long intervals 3 [[Holdrian_comma\|Holdrian commas]] wide, plus 4 short intervals 2 Holdrians wide).