SHEFKHED interval names - Revision history

Lériendil: page content was, in essence, a duplicate of what's currently on FKH

2025-04-09T03:43:55Z

page content was, in essence, a duplicate of what's currently on FKH

← Older revision		Revision as of 03:43, 9 April 2025
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	SHEFKHED interval names is a diatonic based system for interval naming developed after [[Extended-diatonic interval names\|a review of the historical development of Western interval names, and of current proposed schemes]], taking the best and leaving alone the worst aspects of the existing standards. In addition to the standard diatonic interval name qualifiers - 'M', 'm', 'P', 'A' and 'd', the three most commonly used microtonal qualifies, 'N', 'S' and 's' are used, along with interval-class degrees and the additional qualifiers 'c' and 'C'. Using these ''SHEFKHED interval names'' or ''Smith/Helmholtz/Ellis/Fokker/Keenan/Hearne Extended-diatonic interval names'', almost all small to medium sized [[Equal Temperaments\|equal temperaments]] (ETs) can be named such that 'S' and 's' and/or 'C' and 'c' correspond to a displacement of an interval up or down a single degree of the ET, respectively. With the addition of two more qualifiers, 'W' and 'n', SHEFKHED can name all intervals from all edos. Many commonly used [[MOS scale\|MOS scales]] may also be described using this scheme such that these scales' interval names are expressed consistently in in any tuning that supports them. The scheme, which can also be easily mapped to many of the current interval naming standards, facilitating translation between them, should improve pedagogy and communication in microtonal music.		#redirect [[FKH Extended-diatonic Interval Names]]

	~~This scheme is now called~~ [[FKH Extended-diatonic Interval Names]]

	[[Category:Interval naming]]		[[Category:Interval naming]]

Lhearne: moved content to FKH Extended-diatonic Interval Names

2024-03-18T10:59:54Z

moved content to FKH Extended-diatonic Interval Names

Show changes

Lhearne at 10:50, 18 March 2024

2024-03-18T10:50:46Z

← Older revision		Revision as of 10:50, 18 March 2024
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	~~''<nowiki/>''~~

	SHEFKHED interval names is a diatonic based system for interval naming developed after [[Extended-diatonic interval names\|a review of the historical development of Western interval names, and of current proposed schemes]], taking the best and leaving alone the worst aspects of the existing standards. In addition to the standard diatonic interval name qualifiers - 'M', 'm', 'P', 'A' and 'd', the three most commonly used microtonal qualifies, 'N', 'S' and 's' are used, along with interval-class degrees and the additional qualifiers 'c' and 'C'. Using these ''SHEFKHED interval names'' or ''Smith/Helmholtz/Ellis/Fokker/Keenan/Hearne Extended-diatonic interval names'', almost all small to medium sized [[Equal Temperaments\|equal temperaments]] (ETs) can be named such that 'S' and 's' and/or 'C' and 'c' correspond to a displacement of an interval up or down a single degree of the ET, respectively. With the addition of two more qualifiers, 'W' and 'n', SHEFKHED can name all intervals from all edos. Many commonly used [[MOS scale\|MOS scales]] may also be described using this scheme such that these scales' interval names are expressed consistently in in any tuning that supports them. The scheme, which can also be easily mapped to many of the current interval naming standards, facilitating translation between them, should improve pedagogy and communication in microtonal music.		SHEFKHED interval names is a diatonic based system for interval naming developed after [[Extended-diatonic interval names\|a review of the historical development of Western interval names, and of current proposed schemes]], taking the best and leaving alone the worst aspects of the existing standards. In addition to the standard diatonic interval name qualifiers - 'M', 'm', 'P', 'A' and 'd', the three most commonly used microtonal qualifies, 'N', 'S' and 's' are used, along with interval-class degrees and the additional qualifiers 'c' and 'C'. Using these ''SHEFKHED interval names'' or ''Smith/Helmholtz/Ellis/Fokker/Keenan/Hearne Extended-diatonic interval names'', almost all small to medium sized [[Equal Temperaments\|equal temperaments]] (ETs) can be named such that 'S' and 's' and/or 'C' and 'c' correspond to a displacement of an interval up or down a single degree of the ET, respectively. With the addition of two more qualifiers, 'W' and 'n', SHEFKHED can name all intervals from all edos. Many commonly used [[MOS scale\|MOS scales]] may also be described using this scheme such that these scales' interval names are expressed consistently in in any tuning that supports them. The scheme, which can also be easily mapped to many of the current interval naming standards, facilitating translation between them, should improve pedagogy and communication in microtonal music.
	==Introduction==		==Introduction==

Lhearne: /* Application in Regular diatonic edos */ typo

2024-03-18T02:18:13Z

Application in Regular diatonic edos: typo

← Older revision		Revision as of 02:18, 18 March 2024
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	\|minor second		\|minor second
	\|m2		\|m2
	\|comma-wide unison / ~~super~~ minor second		\|comma-wide unison / sub minor second
	\|C1/sm2		\|C1/sm2
	\|54.55		\|54.55

Lhearne: /* Application in Regular diatonic edos */ typo

2024-03-18T02:06:13Z

Application in Regular diatonic edos: typo

← Older revision		Revision as of 02:06, 18 March 2024
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	Well-ordered primary and their secondary interval names for 22edo, 41edo and 53edo are shown below in more detail.		Well-ordered primary and their secondary interval names for 22edo, 41edo and 53edo are shown below in more detail.
	{\| class="wikitable"		{\| class="wikitable"
	\|+22edo (patent 2.3.7.11.17 val)		\|+22edo (patent 2.3.5.7.11.17 val)
	!Degree		!Degree
	!Primary interval name		!Primary interval name

BudjarnLambeth: Categorised this uncategorised page

2023-04-26T01:23:39Z

Categorised this uncategorised page

← Older revision		Revision as of 01:23, 26 April 2023
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	P1 S1 1-2 Cm2 cM2 2-3 Cm3 cM3 3-4 s4 P4 S4 s5 P5 S5 5-6 Sm6 sM6 6-7 Sm7 sM7 7-8 s8 P8, from which we can see it is a Barbados tuning.		P1 S1 1-2 Cm2 cM2 2-3 Cm3 cM3 3-4 s4 P4 S4 s5 P5 S5 5-6 Sm6 sM6 6-7 Sm7 sM7 7-8 s8 P8, from which we can see it is a Barbados tuning.
			[[Category:Interval naming]]

Lhearne at 14:24, 9 May 2022

2022-05-09T14:24:04Z

← Older revision		Revision as of 14:24, 9 May 2022
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	43edo: P1 S1 1-2 sm2 m2 Sm2 sM2 M2 SM2 2-3 sm3 m3 Sm3 sM3 M3 SM3 3-4 s4 P4 S4 sA4 A4 d5 Sd5 s5 P5 S5 5-6 sm6 m6 Sm6 sM6 M6 SM6 6-7 sm7 m7 Sm7 sM7 M7 SM7 7-8 s8 P8		43edo: P1 S1 1-2 sm2 m2 Sm2 sM2 M2 SM2 2-3 sm3 m3 Sm3 sM3 M3 SM3 3-4 s4 P4 S4 sA4 A4 d5 Sd5 s5 P5 S5 5-6 sm6 m6 Sm6 sM6 M6 SM6 6-7 sm7 m7 Sm7 sM7 M7 SM7 7-8 s8 P8

	46edo: P1 C1/S1 sm2 m2 Cm2 SCm2 scM2 ~~sM2~~ M2 SM2 sm3 m3 Cm3 SCm3 scM3 cM3 M3 SM3 s4 P4 C4 SC4 scA4/d5 cA4/Cd5 A4/SCd5 SA4/sc5 c5 P5 S5 sm6 m6 Cm6 SCm6 scM6 ~~sM6~~ M6 SM6 sm7 m7 Cm7 SCm7 scM7 cM7 M7 SM7 c8/s8 P8		46edo: P1 C1/S1 sm2 m2 Cm2 SCm2 scM2 cM2 M2 SM2 sm3 m3 Cm3 SCm3 scM3 cM3 M3 SM3 s4 P4 C4 SC4 scA4/d5 cA4/Cd5 A4/SCd5 SA4/sc5 c5 P5 S5 sm6 m6 Cm6 SCm6 scM6 cM6 M6 SM6 sm7 m7 Cm7 SCm7 scM7 cM7 M7 SM7 c8/s8 P8

	50edo: P1 W1 S1 sm2 nm2 m2 Sm2 sM2 M2 WM2 SM2 sm3 nm3 m3 Sm3 sM3 M3 WM3 SM3 s4 n4 P4 W4 S4 A4 WA4/nd5 d5 s5 n5 P5 WS5 S5 sm6 nm6 m6 Sm6 sM6 M6 WM6 SM6 sm7 nm7 m7 Sm7 sM7 M7 WM7 SM7 s8 n8 P8		50edo: P1 W1 S1 sm2 nm2 m2 Sm2 sM2 M2 WM2 SM2 sm3 nm3 m3 Sm3 sM3 M3 WM3 SM3 s4 n4 P4 W4 S4 A4 WA4/nd5 d5 s5 n5 P5 WS5 S5 sm6 nm6 m6 Sm6 sM6 M6 WM6 SM6 sm7 nm7 m7 Sm7 sM7 M7 WM7 SM7 s8 n8 P8

Lhearne: /* Application in Regular diatonic edos */

2021-02-07T16:07:40Z

Application in Regular diatonic edos

← Older revision		Revision as of 16:07, 7 February 2021
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	22edo: P1 m2 Cm2 cM2 M2 m3 Cm3 cM3 M3 P4 C4 cA4/Cd5 c5 P5 m6 Cm6 cM6 M6 m7 Cm7 cM7 M7 P8		22edo: P1 m2 Cm2 cM2 M2 m3 Cm3 cM3 M3 P4 C4 cA4/Cd5 c5 P5 m6 Cm6 cM6 M6 m7 Cm7 cM7 M7 P8

	24edo: P1 S1/sm2 m2 N2 M2 SM2/sm3 m3 N3 M3 SM3/s4 P4 hA4 A4/d5 N5 P5 S5/sm6 m6 N6 M6 SM6/sm7 m7 N7 M7 SM7/s8 P8		24edo: P1 S1/sm2 m2 N2 M2 SM2/sm3 m3 N3 M3 SM3/s4 P4 hA4 A4/d5 hd5 P5 S5/sm6 m6 N6 M6 SM6/sm7 m7 N7 M7 SM7/s8 P8

	26edo: P1 S1 sm2 m2 M2 SM2 sm3 m3 M3 SM3 s4 P4 A4 SA4/sd5 d5 P5 S5 sm6 m6 M6 SM6 sm7 m7 M7 SM7 s8 P8		26edo: P1 S1 sm2 m2 M2 SM2 sm3 m3 M3 SM3 s4 P4 A4 SA4/sd5 d5 P5 S5 sm6 m6 M6 SM6 sm7 m7 M7 SM7 s8 P8

Lhearne: /* Super-flat edos */

2021-02-02T15:56:29Z

Super-flat edos

← Older revision		Revision as of 15:56, 2 February 2021
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	P1 d1 M2 m2 M3 m3 A4 P4 d4/A5 P5 d5 M6 m6 M7 m7 A8 P8.		P1 d1 M2 m2 M3 m3 A4 P4 d4/A5 P5 d5 M6 m6 M7 m7 A8 P8.

	In 16edo 81/80 is represented by -1 degrees and 64/63 by 1 degree, so m = sM = SM		In 16edo 81/80 is represented by -1 degrees and 64/63 by 1 degree, so m = SM = cM

	It's primary well-ordered interval names are:		It's primary well-ordered interval names are:

Gareth.hearne: changed 'super octave' to 'super unison' in 22edo table

2020-03-24T03:43:09Z

changed 'super octave' to 'super unison' in 22edo table

← Older revision		Revision as of 03:43, 24 March 2020
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	\|perfect unison		\|perfect unison
	\|P1		\|P1
	\|super ~~octave~~		\|super unison
	\|S1		\|S1
	\|0		\|0