SKULO interval names - Revision history

Lhearne: /* Alternatives */

2024-03-19T05:20:06Z

Alternatives

← Older revision		Revision as of 05:20, 19 March 2024
Line 457:		Line 457:
	\|1		\|1
	\|54.55		\|54.55
	\|comma-wide unison, (classic augmented unison)~~, minor 2nd~~		\|minor 2nd, comma-wide unison, (classic augmented unison)
	\|K1, (kkA1)~~, m2~~		\|m2, K1, (kkA1)
	\|81/80, (25/24)~~, 256/243~~		\|256/243, 81/80, (25/24)
	\|uber unison~~, subminor 2nd~~		\|subminor 2nd, uber unison
	\|U1~~, sm2~~		\|sm2, U1
	\|33/32~~, 28/27~~		\|28/27, 33/32
	\|-		\|-
	\|2		\|2
	\|109.09		\|109.09
	\|comma-narrow augmented unison~~, classic minor 2nd~~		\|classic minor 2nd, comma-narrow augmented unison
	\|kA1, ~~Km2~~		\|Km2, kA1,
	\|135/128~~, 16/15~~		\|16/15, 135/128
	\|lesser neutral 2nd		\|lesser neutral 2nd, unter augmented unison
	\|n2		\|n2, uA1
	\|88/81		\|88/81, 729/704
	\|-		\|-
	\|3		\|3
	\|163.64		\|163.64
	\|~~augmented unison,~~ classic/comma-narrow major 2nd		\|classic/comma-narrow major 2nd, augmented unison
	\|A1~~, kM2~~		\|kM2, A1
	\|2187/2048~~, 10/9~~		\|10/9, 2187/2048
	\|greater neutral 2nd		\|greater neutral 2nd, super augmented unison,
	\|N2		\|N2, SA1
	\|12/11		\|12/11, 243/224
	\|-		\|-
	\|4		\|4
Line 541:		Line 541:
	\| K4, (kkA4), d5		\| K4, (kkA4), d5
	\|27/20, (25/18), 729/512		\|27/20, (25/18), 729/512
	\|uber 4th / lesser neutral 4th		\|uber 4th / lesser neutral 4th, sub diminished 5th
	\| U4/n4		\| U4/n4, sd5
	\|11/8		\|11/8, 112/81
	\|-		\|-
	\|11		\|11
Line 559:		Line 559:
	\|k5, (KKd5), A4		\|k5, (KKd5), A4
	\|40/27, (32/25), 1024/729		\|40/27, (32/25), 1024/729
	\|unter 5th / greater neutral 5th		\|unter 5th / greater neutral 5th, super augmented 4th
	\|u5/N5		\|u5/N5, SA4
	\|16/11		\|16/11, 81/56
	\|-		\|-
	\|13		\|13
Line 622:		Line 622:
	\|Km7, d8		\|Km7, d8
	\|9/5, 4096/2187		\|9/5, 4096/2187
	\| lesser neutral 7th		\| lesser neutral 7th, super diminished 8ve
	\|n7		\|n7, sd8
	\|11/6		\|11/6, 448/243
	\|-		\|-
	\|20		\|20
Line 631:		Line 631:
	\|kM7, Kd8		\|kM7, Kd8
	\|15/8, 256/135		\|15/8, 256/135
	\|greater neutral 7th		\|greater neutral 7th, unter diminished 8ve
	\|N7		\|N7, ud8
	\| 81/44		\| 81/44, 1408/729
	\|-		\|-
	\|21		\|21

Lhearne: /* Alternatives */

2024-03-19T05:03:06Z

Alternatives

Show changes

Lhearne: /* Alternatives */

2024-03-19T04:55:51Z

Alternatives

← Older revision		Revision as of 04:55, 19 March 2024
Line 457:		Line 457:
	\|1		\|1
	\|54.55		\|54.55
	\|comma-wide unison, (classic augmented unison)		\|comma-wide unison, (classic augmented unison), minor second
	minor second		\|K1, (kkA1), m2
	\|K1, (kkA1)		\|81/80, (25/24), 256/243
	m2		\|uber unison, subminor second
	\|81/80, (25/24)		\|U1, sm2
	256/243		\|33/32, 28/27
	\|uber unison,
	subminor second,
	\|U1
	sm2
	\|33/32
	28/27
	\|-		\|-
	\|2		\|2
	\|109.09		\|109.09
	\|comma-narrow augmented unison		\|comma-narrow augmented unison, classic minor second
	classic minor second		\|kA1, Km2
	\|kA1		\|135/128, 16/15
	Km2
	\|135/128
	16/15
	\|lesser neutral second		\|lesser neutral second
	\|n2		\|n2
Line 484:		Line 475:
	\|3		\|3
	\|163.64		\|163.64
	\|augmented unison		\|augmented unison, classic/comma-narrow major second
	classic/comma-narrow major second		\|A1, kM2
	\|A1		\|2187/2048, 10/9
	kM2
	\|2187/2048
	10/9
	\|greater neutral second		\|greater neutral second
	\|N2		\|N2
Line 550:		Line 538:
	\|10		\|10
	\|545.45		\|545.45
	\|comma-wide fourth, (classic augmented fourth)		\|comma-wide fourth, (classic augmented fourth), diminished fifth
	diminished fifth		\| K4, (kkA4), d5
	\| K4, (kkA4)		\|27/20, (25/18), 729/512
	d5
	\|27/20, (25/18)
	729/512
	\|uber fourth / lesser neutral fourth		\|uber fourth / lesser neutral fourth
	\| U4/n4		\| U4/n4
Line 562:		Line 547:
	\|11		\|11
	\|600		\|600
	\|comma-narrow augmented fourth		\|comma-narrow augmented fourth, comma-wide diminished fifth
	comma-wide diminished fifth		\|kA4, Kd5
	\|kA4		\|45/32, 64/45
	Kd5		\|unter augmented fourth / greater neutral fourth, uber diminished fifth / lesser neutral fifth
	\|45/32		\|uA4/N4, Ud5/n5
	64/45		\|243/176, 352/243
	\|unter augmented fourth / greater neutral fourth
	uber diminished fifth / lesser neutral fifth
	\|uA4/N4
	Ud5/n5
	\|243/176
	352/243
	\|-		\|-
	\|12		\|12
	\|654.55		\|654.55
	\|comma-narrow fifth, (classic diminished fifth)		\|comma-narrow fifth, (classic diminished fifth), augmented fourth
	augmented fourth		\|k5, (KKd5), A4
	\|k5, (KKd5)		\|40/27, (32/25), 1024/729
	A4
	\|40/27, (32/25)
	1024/729
	\|unter fifth / greater neutral fifth		\|unter fifth / greater neutral fifth
	\|u5/N5		\|u5/N5
Line 643:		Line 619:
	\|19		\|19
	\|1036.36		\|1036.36
	\|classic/comma-wide minor seventh		\|classic/comma-wide minor seventh, diminished octave
	diminished octave		\|Km7, d8
	\|Km7		\|9/5, 4096/2187
	d8
	\|9/5
	4096/2187
	\| lesser neutral seventh		\| lesser neutral seventh
	\|n7		\|n7
Line 655:		Line 628:
	\|20		\|20
	\|1090.91		\|1090.91
	\|classic major seventh		\|classic major seventh, comma-wide diminished octave
	comma-wide diminished octave		\|kM7, Kd8
	\|kM7		\|15/8, 256/135
	Kd8
	\|15/8
	256/135
	\|greater neutral seventh		\|greater neutral seventh
	\|N7		\|N7
Line 667:		Line 637:
	\|21		\|21
	\|1145.45		\|1145.45
	\|major seventh		\|major seventh, comma-narrow octave, (classic diminished octave)
	comma-narrow octave, (classic diminished octave)		\|M7, k8, (KKd8)
	\|M7		\|243/128 , 160/81, (48/25)
	k8, (KKd8)		\|supermajor seventh, unter octave
	\|243/128		\|SM7, u8
	160/81, (48/25)		\|27/14, 64/33
	\|supermajor seventh
	unter octave
	\|SM7
	u8
	\|27/14
	64/33
	\|-		\|-
	\|22		\|22

Lhearne: /* Alternatives */

2024-03-19T04:34:34Z

Alternatives

← Older revision		Revision as of 04:34, 19 March 2024
Line 457:		Line 457:
	\|1		\|1
	\|54.55		\|54.55
	\|comma-wide unison, (classic augmented unison),		\|comma-wide unison, (classic augmented unison)
	minor second,		minor second
	\|K1, (kkA1),		\|K1, (kkA1)
	m2		m2
	\|81/80, (25/24),		\|81/80, (25/24)
	256/243		256/243
	\|uber unison,		\|uber unison,
	subminor second,		subminor second,
	\|U1,		\|U1
	sm2		sm2
	\|28/27~~, 33/32~~		\|33/32
			28/27
	\|-		\|-
	\|2		\|2
	\|109.09		\|109.09
	\|comma-narrow augmented unison		\|comma-narrow augmented unison
	classic minor second,		classic minor second
	\|kA1,		\|kA1
	Km2		Km2
	\|135/128,		\|135/128
	16/15		16/15
	\|lesser neutral second		\|lesser neutral second
Line 484:		Line 485:
	\|163.64		\|163.64
	\|augmented unison		\|augmented unison
	classic/comma-narrow major second,		classic/comma-narrow major second
	\|A1,		\|A1
	kM2		kM2
	\|2187/2048,		\|2187/2048
	10/9		10/9
	\|greater neutral second		\|greater neutral second
Line 549:		Line 550:
	\|10		\|10
	\|545.45		\|545.45
	\|comma-wide fourth, (classic augmented fourth),		\|comma-wide fourth, (classic augmented fourth)
	diminished fifth		diminished fifth
	\|K4, (kkA4),		\| K4, (kkA4)
	d5		d5
	\|27/20, (25/18),		\|27/20, (25/18)
	729/512		729/512
	\|uber fourth / lesser neutral fourth		\|uber fourth / lesser neutral fourth
	\|U4/n4		\| U4/n4
	\|11/8		\|11/8
	\|-		\|-
Line 576:		Line 577:
	\|12		\|12
	\|654.55		\|654.55
	\|comma-narrow fifth, (classic diminished fifth),		\|comma-narrow fifth, (classic diminished fifth)
	augmented fourth		augmented fourth
	\|k5, (KKd5),		\|k5, (KKd5)
	A4		A4
	\|40/27, (32/25),		\|40/27, (32/25)
	1024/729		1024/729
	\|unter fifth / greater neutral fifth		\|unter fifth / greater neutral fifth
Line 642:		Line 643:
	\|19		\|19
	\|1036.36		\|1036.36
	\|classic/comma-wide minor seventh,		\|classic/comma-wide minor seventh
	diminished octave		diminished octave
	\|Km7,		\|Km7
	d8		d8
	\|9/5,		\|9/5
	4096/2187		4096/2187
	\|lesser neutral seventh		\| lesser neutral seventh
	\|n7		\|n7
	\|11/6		\|11/6
Line 654:		Line 655:
	\|20		\|20
	\|1090.91		\|1090.91
	\|classic major seventh,		\|classic major seventh
	comma-wide diminished octave		comma-wide diminished octave
	\|kM7,		\|kM7
	Kd8		Kd8
	\|15/8,		\|15/8
	256/135		256/135
	\|greater neutral seventh		\|greater neutral seventh
	\|N7		\|N7
	\|81/44		\| 81/44
	\|-		\|-
	\|21		\|21
	\|1145.45		\|1145.45
	\|major seventh,		\|major seventh
	comma-narrow octave, (classic diminished octave)		comma-narrow octave, (classic diminished octave)
	\|M7,		\|M7
	k8, (KKd8)		k8, (KKd8)
	\|243/128,		\|243/128
	160/81, (48/25)		160/81, (48/25)
	\|supermajor seventh, unter octave		\|supermajor seventh
	\|SM7, u8		unter octave
	\|27/14, 64/33		\|SM7
			u8
			\|27/14
			64/33
	\|-		\|-
	\|22		\|22
Line 683:		Line 687:
	\|sub octave		\|sub octave
	\|s8		\|s8
	\|~~2/1,~~ 63/32		\|63/32
	\|}		\|}

	== WOFED interval names ==		==WOFED interval names ==
	Well-ordered, functional, extended diatonic interval names.		Well-ordered, functional, extended diatonic interval names.

Lhearne: /* Alternatives */ updated table

2024-03-19T04:30:27Z

Alternatives: updated table

← Older revision		Revision as of 04:30, 19 March 2024
Line 457:		Line 457:
	\|1		\|1
	\|54.55		\|54.55
	\|~~minor second /~~ comma-wide unison		\|comma-wide unison, (classic augmented unison),
	\|m2/K1		minor second,
	\|256/243, ~~81/80~~		\|K1, (kkA1),
	\|subminor second ~~/ uber unison~~		m2
	\|sm2~~/U1~~		\|81/80, (25/24),
			256/243
			\|uber unison,
			subminor second,
			\|U1,
			sm2
	\|28/27, 33/32		\|28/27, 33/32
	\|-		\|-
	\|2		\|2
	\|109.09		\|109.09
	\|classic minor second		\|comma-narrow augmented unison
	\|Km2		classic minor second,
	\|16/15		\|kA1,
			Km2
			\|135/128,
			16/15
	\|lesser neutral second		\|lesser neutral second
	\|n2		\|n2
Line 475:		Line 483:
	\|3		\|3
	\|163.64		\|163.64
	\|classic/comma-narrow major second		\|augmented unison
	\|kM2		classic/comma-narrow major second,
	\|10/9		\|A1,
			kM2
			\|2187/2048,
			10/9
	\|greater neutral second		\|greater neutral second
	\|N2		\|N2
Line 538:		Line 549:
	\|10		\|10
	\|545.45		\|545.45
	\|comma-wide fourth		\|comma-wide fourth, (classic augmented fourth),
	\|K4		diminished fifth
	\|27/20		\|K4, (kkA4),
			d5
			\|27/20, (25/18),
			729/512
	\|uber fourth / lesser neutral fourth		\|uber fourth / lesser neutral fourth
	\|U4/n4		\|U4/n4
Line 562:		Line 576:
	\|12		\|12
	\|654.55		\|654.55
	\|comma-narrow fifth		\|comma-narrow fifth, (classic diminished fifth),
	\|k5		augmented fourth
	\|40/27		\|k5, (KKd5),
			A4
			\|40/27, (32/25),
			1024/729
	\|unter fifth / greater neutral fifth		\|unter fifth / greater neutral fifth
	\|u5/N5		\|u5/N5
Line 625:		Line 642:
	\|19		\|19
	\|1036.36		\|1036.36
	\|classic/comma-wide minor seventh		\|classic/comma-wide minor seventh,
	\|Km7		diminished octave
	\|9/5		\|Km7,
			d8
			\|9/5,
			4096/2187
	\|lesser neutral seventh		\|lesser neutral seventh
	\|n7		\|n7
Line 634:		Line 654:
	\|20		\|20
	\|1090.91		\|1090.91
	\|classic major seventh		\|classic major seventh,
	\|kM7		comma-wide diminished octave
	\|15/8		\|kM7,
			Kd8
			\|15/8,
			256/135
	\|greater neutral seventh		\|greater neutral seventh
	\|N7		\|N7
Line 643:		Line 666:
	\|21		\|21
	\|1145.45		\|1145.45
	\|major seventh / comma-narrow octave		\|major seventh,
	\|M7 / k8		comma-narrow octave, (classic diminished octave)
	\|243/128, 160/81		\|M7,
	\|supermajor seventh / unter octave		k8, (KKd8)
	\|SM7/u8		\|243/128,
			160/81, (48/25)
			\|supermajor seventh, unter octave
			\|SM7, u8
	\|27/14, 64/33		\|27/14, 64/33
	\|-		\|-

Lhearne: /* Alternatives */

2024-03-19T02:54:21Z

Alternatives

← Older revision		Revision as of 02:54, 19 March 2024
Line 475:		Line 475:
	\|3		\|3
	\|163.64		\|163.64
	\|classic major second		\|classic/comma-narrow major second
	\|kM2		\|kM2
	\|10/9		\|10/9
Line 625:		Line 625:
	\|19		\|19
	\|1036.36		\|1036.36
	\|classic minor seventh		\|classic/comma-wide minor seventh
	\|Km7		\|Km7
	\|9/5		\|9/5

Lhearne: /* Alternatives */

2024-03-19T02:10:11Z

Alternatives

← Older revision		Revision as of 02:10, 19 March 2024
Line 460:		Line 460:
	\|m2/K1		\|m2/K1
	\|256/243, 81/80		\|256/243, 81/80
	\|~~sub minor~~ second / uber unison		\|subminor second / uber unison
	\|sm2/U1		\|sm2/U1
	\|28/27, 33/32		\|28/27, 33/32
Line 487:		Line 487:
	\|M2		\|M2
	\|9/8		\|9/8
	\|~~super major~~ second		\|supermajor second
	\|SM2		\|SM2
	\|8/7		\|8/7
Line 496:		Line 496:
	\|m3		\|m3
	\|32/27		\|32/27
	\|~~super minor~~ third		\|subminor third
	\|sm3		\|sm3
	\|7/6		\|7/6
Line 523:		Line 523:
	\|M3		\|M3
	\|81/64		\|81/64
	\|~~super major~~ third		\|supermajor third
	\|SM3		\|SM3
	\|9/7		\|9/7
Line 541:		Line 541:
	\|K4		\|K4
	\|27/20		\|27/20
	\|uber fourth		\|uber fourth / lesser neutral fourth
	\|U4		\|U4/n4
	\|11/8		\|11/8
	\|-		\|-
	\|11		\|11
	\|600		\|600
	\|~~classic~~ augmented fourth		\|comma-narrow augmented fourth
	~~classic~~ diminished fifth		comma-wide diminished fifth
	\|kA4		\|kA4
	Kd5		Kd5
	\|45/32		\|45/32
	64/45		64/45
	\|unter augmented fourth		\|unter augmented fourth / greater neutral fourth
	uber diminished fifth		uber diminished fifth / lesser neutral fifth
	\|uA4		\|uA4/N4
	Ud5		Ud5/n5
	\|243/176		\|243/176
	352/243		352/243
Line 565:		Line 565:
	\|k5		\|k5
	\|40/27		\|40/27
	\|unter fifth		\|unter fifth / greater neutral fifth
	\|u5		\|u5/N5
	\|16/11		\|16/11
	\|-		\|-
Line 583:		Line 583:
	\|m6		\|m6
	\|128/81		\|128/81
	\|~~sub minor~~ sixth		\|subminor sixth
	\|sm6		\|sm6
	\|14/9		\|14/9
Line 592:		Line 592:
	\|Km6		\|Km6
	\|8/5		\|8/5
	\|~~less~~ neutral sixth		\|lesser neutral sixth
	\|n6		\|n6
	\|44/27		\|44/27
Line 610:		Line 610:
	\|M6		\|M6
	\|27/16		\|27/16
	\|~~super major~~ sixth		\|supermajor sixth
	\|SM6		\|SM6
	\|12/7		\|12/7
Line 619:		Line 619:
	\|m7		\|m7
	\|16/9		\|16/9
	\|~~sub minor~~ seventh		\|subminor seventh
	\|sm7		\|sm7
	\|7/4		\|7/4
Line 646:		Line 646:
	\|M7 / k8		\|M7 / k8
	\|243/128, 160/81		\|243/128, 160/81
	\|~~super major~~ seventh / unter octave		\|supermajor seventh / unter octave
	\|SM7/k8		\|SM7/u8
	\|27/14, 64/33		\|27/14, 64/33
	\|-		\|-

Lhearne: /* SKU */ cut the mid-form, updated classic dim and aug intervals

2024-03-19T01:45:11Z

SKU: cut the mid-form, updated classic dim and aug intervals

Show changes

Lhearne: /* SKU */

2024-03-19T00:13:32Z

SKU

← Older revision		Revision as of 00:13, 19 March 2024
Line 358:		Line 358:
	'''34edo''': P1 K1/S1/sm2 m2 Km2 N2 kM2 M2 SM2/sm3 m3 Km3 N3 kM3 M3 SM3/s4 P4 K4 U4/d5 kA4/Kd5 A4/u5 k5 P5 S5/sm6 m6 Km6 N6 kM6 M6 SM6/sm7 m7 Km7 N7 kM7 M7 SM7/k8/s8 P8.		'''34edo''': P1 K1/S1/sm2 m2 Km2 N2 kM2 M2 SM2/sm3 m3 Km3 N3 kM3 M3 SM3/s4 P4 K4 U4/d5 kA4/Kd5 A4/u5 k5 P5 S5/sm6 m6 Km6 N6 kM6 M6 SM6/sm7 m7 Km7 N7 kM7 M7 SM7/k8/s8 P8.

	'''41edo''': P1 K1/S1 U1/sm2 m2 Km2 N2 kM2 M2 SM2 sm3 m3 Km3 N3 kM3 M3 SM3 s4 P4 K4 U4 kA4 Kd5 u5 k5 P5 S5 sm6 m6 Km6 N6 kM6 M6 SM6 sm7 m7 Km7 N7 kM7 M7 SM7/u8 k8/s8 P8.		'''41edo''': P1 K1/S1 U1/sm2 m2 Km2 N2 kM2 M2 SM2 sm3 m3 Km3 N3 kM3 M3 SM3 s4 P4 K4 U4 kA4/d5 Kd5/A4 u5 k5 P5 S5 sm6 m6 Km6 N6 kM6 M6 SM6 sm7 m7 Km7 N7 kM7 M7 SM7/u8 k8/s8 P8.

	'''46edo''': P1 K1/S1 U1/sm2 m2 Km2 n2 N2 kM2 M2 SM2 sm3 m3 Km3 n3 N3 kM3 M3 SM3 s4 P4 K4 U4 uA4/d5 kA4/Kd5 A4/Ud5 SA4/u5 k5 P5 S5 sm6 m6 Km6 n6 N6 kM6 M6 SM6 sm7 m7 Km7 n7 N7 kM7 M7 SM7/u8 k8/s8 P8.		'''46edo''': P1 K1/S1 U1/sm2 m2 Km2 n2 N2 kM2 M2 SM2 sm3 m3 Km3 n3 N3 kM3 M3 SM3 s4 P4 K4 U4 uA4/d5 kA4/Kd5 A4/Ud5 SA4/u5 k5 P5 S5 sm6 m6 Km6 n6 N6 kM6 M6 SM6 sm7 m7 Km7 n7 N7 kM7 M7 SM7/u8 k8/s8 P8.

Lhearne: Added to fist para

2024-03-18T11:25:36Z

Added to fist para

← Older revision		Revision as of 11:25, 18 March 2024
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	SKULO names are the successor to [[~~SHEFKHED interval names~~]]. SKULO is an [[Extended-diatonic interval names\|extended-diatonic]] system, wherein prefixes are added for sub-chroma alterations from standard Pythagorean diatonic intervals.		SKULO interval names are the successor to [[FKH Extended-diatonic Interval Names]]. SKULO is an [[Extended-diatonic interval names\|extended-diatonic]] system, wherein prefixes are added for sub-chroma alterations from standard Pythagorean diatonic intervals. SKULO also exists as a notation system based on a Pythagorean scale on a diatonic staff, with accidentals based on the letters representing the alterations. SKULO interval names observe diatonic interval arithmetic and follow the ''well-ordered'' interval naming scheme, wherein for the interval names of a tuning system no larger interval is named with reference to a smaller interval class.

	S signals the septimal intervals, altering a Pythagorean interval by the septimal or Archytas comma, [[64/63]].		S signals the septimal intervals, altering a Pythagorean interval by the septimal or Archytas comma, [[64/63]].
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	== SKU ==		== SKU ==
	{\| class="wikitable"		{\| class="wikitable"
	\|+Basic SKU extended diatonic intervals		\|+Basic SKU extended-diatonic intervals
	!Short-form		!Short-form
	!Mid-form		!Mid-form