Modes of Negri-9 - Revision history

Overthink: todo

2026-01-10T00:06:50Z

todo

← Older revision		Revision as of 00:06, 10 January 2026
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	__FORCETOC__		__FORCETOC__
			{{Todo\|intro\|cleanup\|inline=1}}
	==Features of Negri[9]==		==Features of Negri[9]==
	The nine note [[MOS_scale \| MOS]] of the [[Negri]] temperament is an excellent framework for both melody and harmony. In particular, this 9 note scale contains two 4:5:6:7 tetrads, and two 1/7:1/6:1/5:1/4 tetrads, and with a suitably tuned generator is the smallest [[Rothenberg propriety \| proper]] MOS with 9 or fewer notes where these tetrads are as well in tune. The 13th harmonic is also easily accessible, with the octave reduced 13th harmonic (13/8) being tuned the same as 8/5.		The nine note [[MOS_scale \| MOS]] of the [[Negri]] temperament is an excellent framework for both melody and harmony. In particular, this 9 note scale contains two 4:5:6:7 tetrads, and two 1/7:1/6:1/5:1/4 tetrads, and with a suitably tuned generator is the smallest [[Rothenberg propriety \| proper]] MOS with 9 or fewer notes where these tetrads are as well in tune. The 13th harmonic is also easily accessible, with the octave reduced 13th harmonic (13/8) being tuned the same as 8/5.

Lhearne: /* The Modes */ deleted empty column in table

2026-01-05T01:51:09Z

The Modes: deleted empty column in table

← Older revision		Revision as of 01:51, 5 January 2026
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	\| \| Interval Qualities		\| \| Interval Qualities
	\| style="text-align:center;" \| Other Notes		\| style="text-align:center;" \| Other Notes
	~~\| \|~~
	\|-		\|-
	\| \| 1		\| \| 1
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	\| \| A B C^ C#^ D#v E F^ F#^ G#v A'		\| \| A B C^ C#^ D#v E F^ F#^ G#v A'
	\| \| M2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7		\| \| M2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
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	\| \| B C^ C#^ D#v E F^ F#^ G#v A B'		\| \| B C^ C#^ D#v E F^ F#^ G#v A B'
	\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 m7		\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 m7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
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	\| \| C^ C#^ D#v E F^ F#^ G#v A B C^'		\| \| C^ C#^ D#v E F^ F#^ G#v A B C^'
	\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 M7		\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
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	\| \| C#^ D#v E F^ F#^ G#v A B C^ C#^'		\| \| C#^ D#v E F^ F#^ G#v A B C^ C#^'
	\| \| m2 p2.5 m3.3 p4 d5 m5.7 P6.5 M7		\| \| m2 p2.5 m3.3 p4 d5 m5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
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	\| \| D#v E F^ F#^ G#v A B C^ C#^ D#v'		\| \| D#v E F^ F#^ G#v A B C^ C#^ D#v'
	\| \| m2 p2.5 m3.3 p4 d5 M5.7 P6.5 M7		\| \| m2 p2.5 m3.3 p4 d5 M5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
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	\| \| E F^ F#^ G#v A B C^ C#^ D#v E'		\| \| E F^ F#^ G#v A B C^ C#^ D#v E'
	\| \| m2 p2.5 m3.3 p4 P5 M5.7 P6.5 M7		\| \| m2 p2.5 m3.3 p4 P5 M5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
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	\| \| F^ F#^ G#v A B C^ C#^ D#v E F^'		\| \| F^ F#^ G#v A B C^ C#^ D#v E F^'
	\| \| m2 p2.5 m3.3 A4 P5 M5.7 P6.5 M7		\| \| m2 p2.5 m3.3 A4 P5 M5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
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	\| \| F#^ G#v A B C^ C#^ D#v E F^ F#^'		\| \| F#^ G#v A B C^ C#^ D#v E F^ F#^'
	\| \| m2 p2.5 M3.3 A4 P5 M5.7 P6.5 M7		\| \| m2 p2.5 M3.3 A4 P5 M5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
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	\| \| G#v A B C^ C#^ D#v E F^ F#^ G#v'		\| \| G#v A B C^ C#^ D#v E F^ F#^ G#v'
	\| \| m2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7		\| \| m2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-

BudjarnLambeth at 03:10, 28 September 2025

2025-09-28T03:10:44Z

← Older revision		Revision as of 03:10, 28 September 2025
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	\|-		\|-
	\|}		\|}


	{{Navbox scale gallery}}		{{Navbox scale gallery}}

BudjarnLambeth: Modernise subheadings, add navbox

2025-09-28T03:10:36Z

Modernise subheadings, add navbox

← Older revision		Revision as of 03:10, 28 September 2025
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	__FORCETOC__		__FORCETOC__
	=Features of Negri[9]=		==Features of Negri[9]==
	The nine note [[MOS_scale \| MOS]] of the [[Negri]] temperament is an excellent framework for both melody and harmony. In particular, this 9 note scale contains two 4:5:6:7 tetrads, and two 1/7:1/6:1/5:1/4 tetrads, and with a suitably tuned generator is the smallest [[Rothenberg propriety \| proper]] MOS with 9 or fewer notes where these tetrads are as well in tune. The 13th harmonic is also easily accessible, with the octave reduced 13th harmonic (13/8) being tuned the same as 8/5.		The nine note [[MOS_scale \| MOS]] of the [[Negri]] temperament is an excellent framework for both melody and harmony. In particular, this 9 note scale contains two 4:5:6:7 tetrads, and two 1/7:1/6:1/5:1/4 tetrads, and with a suitably tuned generator is the smallest [[Rothenberg propriety \| proper]] MOS with 9 or fewer notes where these tetrads are as well in tune. The 13th harmonic is also easily accessible, with the octave reduced 13th harmonic (13/8) being tuned the same as 8/5.

	=The Modes=		==The Modes==
	Ray Perlner coined names for the 9 modes of Negri[9], mostly based on the fact that, in 19EDO, a 7-note subset of Negri-9 is equivalent to the well-known double harmonic scale. e.g. Mode 1, "Austro-Hungarian Minor" is spelled A B C Db D# E F Gb G# A' and contains the Hungarian Minor scale, A B C D# E F G# A' as a subset. These are denoted "Ray's name."		Ray Perlner coined names for the 9 modes of Negri[9], mostly based on the fact that, in 19EDO, a 7-note subset of Negri-9 is equivalent to the well-known double harmonic scale. e.g. Mode 1, "Austro-Hungarian Minor" is spelled A B C Db D# E F Gb G# A' and contains the Hungarian Minor scale, A B C D# E F G# A' as a subset. These are denoted "Ray's name."

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	\|}		\|}


			{{Navbox scale gallery}}
	[[Category:Negri]]		[[Category:Negri]]
	[[Category:Modes]]		[[Category:Modes]]
	[[Category:Lists of scales]]		[[Category:Lists of scales]]

Fredg999: Text replacement - "Ups_and_Downs_Notation" to "Ups and downs notation"

2025-08-20T01:10:00Z

Text replacement - "Ups_and_Downs_Notation" to "Ups and downs notation"

← Older revision		Revision as of 01:10, 20 August 2025
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	More systematic names based on [[Modal UDP Notation\|UDP notation]] are also given. For Negri[9], the chroma-aligned generator is 15/8 (alternatively 28/15, 13/7, or 24/13). All generators below refer to this generator.		More systematic names based on [[Modal UDP Notation\|UDP notation]] are also given. For Negri[9], the chroma-aligned generator is 15/8 (alternatively 28/15, 13/7, or 24/13). All generators below refer to this generator.

	The table below also gives step patterns and example spellings in [[~~Ups_and_Downs_Notation~~ \| ups and downs notation]] for 19EDO and 29EDO.		The table below also gives step patterns and example spellings in [[Ups and downs notation \| ups and downs notation]] for 19EDO and 29EDO.

	{\| class="wikitable"		{\| class="wikitable"

BudjarnLambeth: Added to category "lists of scales"

2023-04-17T23:39:33Z

Added to category "lists of scales"

← Older revision		Revision as of 23:39, 17 April 2023
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	[[Category:Negri]]		[[Category:Negri]]
	[[Category:Modes]]		[[Category:Modes]]
			[[Category:Lists of scales]]

Rperlner: Fixed 29EDO Step Pattern (because apparently I can't count.)

2022-07-04T17:40:24Z

Fixed 29EDO Step Pattern (because apparently I can't count.)

← Older revision		Revision as of 17:40, 4 July 2022
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	\| style="text-align:center;" \| 322222222		\| style="text-align:center;" \| 322222222
	\| \| A B C Db D# E F Gb G# A'		\| \| A B C Db D# E F Gb G# A'
	\| style="text-align:center;" \| ~~433333333~~		\| style="text-align:center;" \| 533333333
	\| \| A B C^ C#^ D#v E F^ F#^ G#v A'		\| \| A B C^ C#^ D#v E F^ F#^ G#v A'
	\| \| M2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7		\| \| M2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7
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	\| style="text-align:center;" \| 222222223		\| style="text-align:center;" \| 222222223
	\| \| B C Db D# E F Gb G# A B'		\| \| B C Db D# E F Gb G# A B'
	\| style="text-align:center;" \| ~~333333334~~		\| style="text-align:center;" \| 333333335
	\| \| B C^ C#^ D#v E F^ F#^ G#v A B'		\| \| B C^ C#^ D#v E F^ F#^ G#v A B'
	\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 m7		\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 m7
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	\| style="text-align:center;" \| 222222232		\| style="text-align:center;" \| 222222232
	\| \| C Db D# E F Gb G# A B C'		\| \| C Db D# E F Gb G# A B C'
	\| style="text-align:center;" \| ~~333333343~~		\| style="text-align:center;" \| 333333353
	\| \| C^ C#^ D#v E F^ F#^ G#v A B C^'		\| \| C^ C#^ D#v E F^ F#^ G#v A B C^'
	\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 M7		\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 M7
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	\| style="text-align:center;" \| 222222322		\| style="text-align:center;" \| 222222322
	\| \| Db D# E F Gb G# A B C Db'		\| \| Db D# E F Gb G# A B C Db'
	\| style="text-align:center;" \| ~~333333433~~		\| style="text-align:center;" \| 333333533
	\| \| C#^ D#v E F^ F#^ G#v A B C^ C#^'		\| \| C#^ D#v E F^ F#^ G#v A B C^ C#^'
	\| \| m2 p2.5 m3.3 p4 d5 m5.7 P6.5 M7		\| \| m2 p2.5 m3.3 p4 d5 m5.7 P6.5 M7
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	\| style="text-align:center;" \| 222223222		\| style="text-align:center;" \| 222223222
	\| \| D# E F Gb G# A B C Db D#'		\| \| D# E F Gb G# A B C Db D#'
	\| style="text-align:center;" \| ~~333334333~~		\| style="text-align:center;" \| 333335333
	\| \| D#v E F^ F#^ G#v A B C^ C#^ D#v'		\| \| D#v E F^ F#^ G#v A B C^ C#^ D#v'
	\| \| m2 p2.5 m3.3 p4 d5 M5.7 P6.5 M7		\| \| m2 p2.5 m3.3 p4 d5 M5.7 P6.5 M7
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	\| style="text-align:center;" \| 222232222		\| style="text-align:center;" \| 222232222
	\| \| E F Gb G# A B C Db D# E'		\| \| E F Gb G# A B C Db D# E'
	\| style="text-align:center;" \| ~~333343333~~		\| style="text-align:center;" \| 333353333
	\| \| E F^ F#^ G#v A B C^ C#^ D#v E'		\| \| E F^ F#^ G#v A B C^ C#^ D#v E'
	\| \| m2 p2.5 m3.3 p4 P5 M5.7 P6.5 M7		\| \| m2 p2.5 m3.3 p4 P5 M5.7 P6.5 M7
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	\| style="text-align:center;" \| 222322222		\| style="text-align:center;" \| 222322222
	\| \| F Gb G# A B C Db D# E F'		\| \| F Gb G# A B C Db D# E F'
	\| style="text-align:center;" \| ~~333433333~~		\| style="text-align:center;" \| 333533333
	\| \| F^ F#^ G#v A B C^ C#^ D#v E F^'		\| \| F^ F#^ G#v A B C^ C#^ D#v E F^'
	\| \| m2 p2.5 m3.3 A4 P5 M5.7 P6.5 M7		\| \| m2 p2.5 m3.3 A4 P5 M5.7 P6.5 M7
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	\| style="text-align:center;" \| 223222222		\| style="text-align:center;" \| 223222222
	\| \| Gb G# A B C Db D# E F Gb'		\| \| Gb G# A B C Db D# E F Gb'
	\| style="text-align:center;" \| ~~334333333~~		\| style="text-align:center;" \| 335333333
	\| \| F#^ G#v A B C^ C#^ D#v E F^ F#^'		\| \| F#^ G#v A B C^ C#^ D#v E F^ F#^'
	\| \| m2 p2.5 M3.3 A4 P5 M5.7 P6.5 M7		\| \| m2 p2.5 M3.3 A4 P5 M5.7 P6.5 M7
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	\| style="text-align:center;" \| 232222222		\| style="text-align:center;" \| 232222222
	\| \| G# A B C Db D# E F Gb G#'		\| \| G# A B C Db D# E F Gb G#'
	\| style="text-align:center;" \| ~~343333333~~		\| style="text-align:center;" \| 353333333
	\| \| G#v A B C^ C#^ D#v E F^ F#^ G#v'		\| \| G#v A B C^ C#^ D#v E F^ F#^ G#v'
	\| \| m2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7		\| \| m2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7

Rperlner: Filling in Content for Negri-9 Modes

2022-07-04T16:24:10Z

Filling in Content for Negri-9 Modes

← Older revision		Revision as of 16:24, 4 July 2022
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			__FORCETOC__
			=Features of Negri[9]=
			The nine note [[MOS_scale \| MOS]] of the [[Negri]] temperament is an excellent framework for both melody and harmony. In particular, this 9 note scale contains two 4:5:6:7 tetrads, and two 1/7:1/6:1/5:1/4 tetrads, and with a suitably tuned generator is the smallest [[Rothenberg propriety \| proper]] MOS with 9 or fewer notes where these tetrads are as well in tune. The 13th harmonic is also easily accessible, with the octave reduced 13th harmonic (13/8) being tuned the same as 8/5.

			=The Modes=
			Ray Perlner coined names for the 9 modes of Negri[9], mostly based on the fact that, in 19EDO, a 7-note subset of Negri-9 is equivalent to the well-known double harmonic scale. e.g. Mode 1, "Austro-Hungarian Minor" is spelled A B C Db D# E F Gb G# A' and contains the Hungarian Minor scale, A B C D# E F G# A' as a subset. These are denoted "Ray's name."

			More systematic names based on [[Modal UDP Notation\|UDP notation]] are also given. For Negri[9], the chroma-aligned generator is 15/8 (alternatively 28/15, 13/7, or 24/13). All generators below refer to this generator.

			The table below also gives step patterns and example spellings in [[Ups_and_Downs_Notation \| ups and downs notation]] for 19EDO and 29EDO.

			{\| class="wikitable"
			\|-
			\| \| Mode Number
			\| \| Ray's Name
			\| style="text-align:center;" \| UDP Name
			\| style="text-align:center;" \| 19 edo Step Pattern
			\| \| 19 EDO Spelling
			\| style="text-align:center;" \| 29 edo Step Pattern
			\| \| 29 EDO Spelling
			\| \| Interval Qualities
			\| style="text-align:center;" \| Other Notes
			\| \|
			\|-
			\| \| 1
			\| \| Austro-Hungarian Minor
			\| style="text-align:center;" \| 8\|0
			\| style="text-align:center;" \| 322222222
			\| \| A B C Db D# E F Gb G# A'
			\| style="text-align:center;" \| 433333333
			\| \| A B C^ C#^ D#v E F^ F#^ G#v A'
			\| \| M2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 2
			\| \| Reoriented
			\| style="text-align:center;" \| 0\|8
			\| style="text-align:center;" \| 222222223
			\| \| B C Db D# E F Gb G# A B'
			\| style="text-align:center;" \| 333333334
			\| \| B C^ C#^ D#v E F^ F#^ G#v A B'
			\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 m7
			\| \|
			\| \|
			\|-
			\| \| 3
			\| \| Negri Augmented Major
			\| style="text-align:center;" \| 1\|7
			\| style="text-align:center;" \| 222222232
			\| \| C Db D# E F Gb G# A B C'
			\| style="text-align:center;" \| 333333343
			\| \| C^ C#^ D#v E F^ F#^ G#v A B C^'
			\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 4
			\| \| Faceless
			\| style="text-align:center;" \| 2\|6
			\| style="text-align:center;" \| 222222322
			\| \| Db D# E F Gb G# A B C Db'
			\| style="text-align:center;" \| 333333433
			\| \| C#^ D#v E F^ F#^ G#v A B C^ C#^'
			\| \| m2 p2.5 m3.3 p4 d5 m5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 5
			\| \| Amended
			\| style="text-align:center;" \| 3\|5
			\| style="text-align:center;" \| 222223222
			\| \| D# E F Gb G# A B C Db D#'
			\| style="text-align:center;" \| 333334333
			\| \| D#v E F^ F#^ G#v A B C^ C#^ D#v'
			\| \| m2 p2.5 m3.3 p4 d5 M5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 6
			\| \| Symmetric Negri Major
			\| style="text-align:center;" \| 4\|4
			\| style="text-align:center;" \| 222232222
			\| \| E F Gb G# A B C Db D# E'
			\| style="text-align:center;" \| 333343333
			\| \| E F^ F#^ G#v A B C^ C#^ D#v E'
			\| \| m2 p2.5 m3.3 p4 P5 M5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 7
			\| \| Carolingian
			\| style="text-align:center;" \| 5\|3
			\| style="text-align:center;" \| 222322222
			\| \| F Gb G# A B C Db D# E F'
			\| style="text-align:center;" \| 333433333
			\| \| F^ F#^ G#v A B C^ C#^ D#v E F^'
			\| \| m2 p2.5 m3.3 A4 P5 M5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 8
			\| \| Estranged
			\| style="text-align:center;" \| 6\|2
			\| style="text-align:center;" \| 223222222
			\| \| Gb G# A B C Db D# E F Gb'
			\| style="text-align:center;" \| 334333333
			\| \| F#^ G#v A B C^ C#^ D#v E F^ F#^'
			\| \| m2 p2.5 M3.3 A4 P5 M5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 9
			\| \| Ultra-Hittite
			\| style="text-align:center;" \| 7\|1
			\| style="text-align:center;" \| 232222222
			\| \| G# A B C Db D# E F Gb G#'
			\| style="text-align:center;" \| 343333333
			\| \| G#v A B C^ C#^ D#v E F^ F#^ G#v'
			\| \| m2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\|}

	[[Category:Negri]]		[[Category:Negri]]
	[[Category:Modes]]		[[Category:Modes]]

Rperlner: Created page with "Category:Negri Category:Modes"

2022-04-23T18:39:43Z

Created page with "Category:Negri Category:Modes"

New page

[[Category:Negri]]
[[Category:Modes]]

← Older revision		Revision as of 01:51, 5 January 2026
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	\| \| Interval Qualities		\| \| Interval Qualities
	\| style="text-align:center;" \| Other Notes		\| style="text-align:center;" \| Other Notes
	~~\| \|~~
	\|-		\|-
	\| \| 1		\| \| 1
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	\| \| A B C^ C#^ D#v E F^ F#^ G#v A'		\| \| A B C^ C#^ D#v E F^ F#^ G#v A'
	\| \| M2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7		\| \| M2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
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	\| \| B C^ C#^ D#v E F^ F#^ G#v A B'		\| \| B C^ C#^ D#v E F^ F#^ G#v A B'
	\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 m7		\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 m7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
Line 53:		Line 50:
	\| \| C^ C#^ D#v E F^ F#^ G#v A B C^'		\| \| C^ C#^ D#v E F^ F#^ G#v A B C^'
	\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 M7		\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
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	\| \| C#^ D#v E F^ F#^ G#v A B C^ C#^'		\| \| C#^ D#v E F^ F#^ G#v A B C^ C#^'
	\| \| m2 p2.5 m3.3 p4 d5 m5.7 P6.5 M7		\| \| m2 p2.5 m3.3 p4 d5 m5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
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	\| \| D#v E F^ F#^ G#v A B C^ C#^ D#v'		\| \| D#v E F^ F#^ G#v A B C^ C#^ D#v'
	\| \| m2 p2.5 m3.3 p4 d5 M5.7 P6.5 M7		\| \| m2 p2.5 m3.3 p4 d5 M5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
Line 86:		Line 80:
	\| \| E F^ F#^ G#v A B C^ C#^ D#v E'		\| \| E F^ F#^ G#v A B C^ C#^ D#v E'
	\| \| m2 p2.5 m3.3 p4 P5 M5.7 P6.5 M7		\| \| m2 p2.5 m3.3 p4 P5 M5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
Line 97:		Line 90:
	\| \| F^ F#^ G#v A B C^ C#^ D#v E F^'		\| \| F^ F#^ G#v A B C^ C#^ D#v E F^'
	\| \| m2 p2.5 m3.3 A4 P5 M5.7 P6.5 M7		\| \| m2 p2.5 m3.3 A4 P5 M5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
Line 108:		Line 100:
	\| \| F#^ G#v A B C^ C#^ D#v E F^ F#^'		\| \| F#^ G#v A B C^ C#^ D#v E F^ F#^'
	\| \| m2 p2.5 M3.3 A4 P5 M5.7 P6.5 M7		\| \| m2 p2.5 M3.3 A4 P5 M5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-
Line 119:		Line 110:
	\| \| G#v A B C^ C#^ D#v E F^ F#^ G#v'		\| \| G#v A B C^ C#^ D#v E F^ F#^ G#v'
	\| \| m2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7		\| \| m2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7
	~~\| \|~~
	\| \|		\| \|
	\|-		\|-

← Older revision		Revision as of 01:10, 20 August 2025
Line 8:		Line 8:
	More systematic names based on [[Modal UDP Notation\|UDP notation]] are also given. For Negri[9], the chroma-aligned generator is 15/8 (alternatively 28/15, 13/7, or 24/13). All generators below refer to this generator.		More systematic names based on [[Modal UDP Notation\|UDP notation]] are also given. For Negri[9], the chroma-aligned generator is 15/8 (alternatively 28/15, 13/7, or 24/13). All generators below refer to this generator.

	The table below also gives step patterns and example spellings in [[~~Ups_and_Downs_Notation~~ \| ups and downs notation]] for 19EDO and 29EDO.		The table below also gives step patterns and example spellings in [[Ups and downs notation \| ups and downs notation]] for 19EDO and 29EDO.

	{\| class="wikitable"		{\| class="wikitable"

← Older revision		Revision as of 17:40, 4 July 2022
Line 28:		Line 28:
	\| style="text-align:center;" \| 322222222		\| style="text-align:center;" \| 322222222
	\| \| A B C Db D# E F Gb G# A'		\| \| A B C Db D# E F Gb G# A'
	\| style="text-align:center;" \| ~~433333333~~		\| style="text-align:center;" \| 533333333
	\| \| A B C^ C#^ D#v E F^ F#^ G#v A'		\| \| A B C^ C#^ D#v E F^ F#^ G#v A'
	\| \| M2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7		\| \| M2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7
Line 39:		Line 39:
	\| style="text-align:center;" \| 222222223		\| style="text-align:center;" \| 222222223
	\| \| B C Db D# E F Gb G# A B'		\| \| B C Db D# E F Gb G# A B'
	\| style="text-align:center;" \| ~~333333334~~		\| style="text-align:center;" \| 333333335
	\| \| B C^ C#^ D#v E F^ F#^ G#v A B'		\| \| B C^ C#^ D#v E F^ F#^ G#v A B'
	\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 m7		\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 m7
Line 50:		Line 50:
	\| style="text-align:center;" \| 222222232		\| style="text-align:center;" \| 222222232
	\| \| C Db D# E F Gb G# A B C'		\| \| C Db D# E F Gb G# A B C'
	\| style="text-align:center;" \| ~~333333343~~		\| style="text-align:center;" \| 333333353
	\| \| C^ C#^ D#v E F^ F#^ G#v A B C^'		\| \| C^ C#^ D#v E F^ F#^ G#v A B C^'
	\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 M7		\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 M7
Line 61:		Line 61:
	\| style="text-align:center;" \| 222222322		\| style="text-align:center;" \| 222222322
	\| \| Db D# E F Gb G# A B C Db'		\| \| Db D# E F Gb G# A B C Db'
	\| style="text-align:center;" \| ~~333333433~~		\| style="text-align:center;" \| 333333533
	\| \| C#^ D#v E F^ F#^ G#v A B C^ C#^'		\| \| C#^ D#v E F^ F#^ G#v A B C^ C#^'
	\| \| m2 p2.5 m3.3 p4 d5 m5.7 P6.5 M7		\| \| m2 p2.5 m3.3 p4 d5 m5.7 P6.5 M7
Line 72:		Line 72:
	\| style="text-align:center;" \| 222223222		\| style="text-align:center;" \| 222223222
	\| \| D# E F Gb G# A B C Db D#'		\| \| D# E F Gb G# A B C Db D#'
	\| style="text-align:center;" \| ~~333334333~~		\| style="text-align:center;" \| 333335333
	\| \| D#v E F^ F#^ G#v A B C^ C#^ D#v'		\| \| D#v E F^ F#^ G#v A B C^ C#^ D#v'
	\| \| m2 p2.5 m3.3 p4 d5 M5.7 P6.5 M7		\| \| m2 p2.5 m3.3 p4 d5 M5.7 P6.5 M7
Line 83:		Line 83:
	\| style="text-align:center;" \| 222232222		\| style="text-align:center;" \| 222232222
	\| \| E F Gb G# A B C Db D# E'		\| \| E F Gb G# A B C Db D# E'
	\| style="text-align:center;" \| ~~333343333~~		\| style="text-align:center;" \| 333353333
	\| \| E F^ F#^ G#v A B C^ C#^ D#v E'		\| \| E F^ F#^ G#v A B C^ C#^ D#v E'
	\| \| m2 p2.5 m3.3 p4 P5 M5.7 P6.5 M7		\| \| m2 p2.5 m3.3 p4 P5 M5.7 P6.5 M7
Line 94:		Line 94:
	\| style="text-align:center;" \| 222322222		\| style="text-align:center;" \| 222322222
	\| \| F Gb G# A B C Db D# E F'		\| \| F Gb G# A B C Db D# E F'
	\| style="text-align:center;" \| ~~333433333~~		\| style="text-align:center;" \| 333533333
	\| \| F^ F#^ G#v A B C^ C#^ D#v E F^'		\| \| F^ F#^ G#v A B C^ C#^ D#v E F^'
	\| \| m2 p2.5 m3.3 A4 P5 M5.7 P6.5 M7		\| \| m2 p2.5 m3.3 A4 P5 M5.7 P6.5 M7
Line 105:		Line 105:
	\| style="text-align:center;" \| 223222222		\| style="text-align:center;" \| 223222222
	\| \| Gb G# A B C Db D# E F Gb'		\| \| Gb G# A B C Db D# E F Gb'
	\| style="text-align:center;" \| ~~334333333~~		\| style="text-align:center;" \| 335333333
	\| \| F#^ G#v A B C^ C#^ D#v E F^ F#^'		\| \| F#^ G#v A B C^ C#^ D#v E F^ F#^'
	\| \| m2 p2.5 M3.3 A4 P5 M5.7 P6.5 M7		\| \| m2 p2.5 M3.3 A4 P5 M5.7 P6.5 M7
Line 116:		Line 116:
	\| style="text-align:center;" \| 232222222		\| style="text-align:center;" \| 232222222
	\| \| G# A B C Db D# E F Gb G#'		\| \| G# A B C Db D# E F Gb G#'
	\| style="text-align:center;" \| ~~343333333~~		\| style="text-align:center;" \| 353333333
	\| \| G#v A B C^ C#^ D#v E F^ F#^ G#v'		\| \| G#v A B C^ C#^ D#v E F^ F#^ G#v'
	\| \| m2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7		\| \| m2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7

← Older revision		Revision as of 16:24, 4 July 2022
Line 1:		Line 1:
			__FORCETOC__
			=Features of Negri[9]=
			The nine note [[MOS_scale \| MOS]] of the [[Negri]] temperament is an excellent framework for both melody and harmony. In particular, this 9 note scale contains two 4:5:6:7 tetrads, and two 1/7:1/6:1/5:1/4 tetrads, and with a suitably tuned generator is the smallest [[Rothenberg propriety \| proper]] MOS with 9 or fewer notes where these tetrads are as well in tune. The 13th harmonic is also easily accessible, with the octave reduced 13th harmonic (13/8) being tuned the same as 8/5.

			=The Modes=
			Ray Perlner coined names for the 9 modes of Negri[9], mostly based on the fact that, in 19EDO, a 7-note subset of Negri-9 is equivalent to the well-known double harmonic scale. e.g. Mode 1, "Austro-Hungarian Minor" is spelled A B C Db D# E F Gb G# A' and contains the Hungarian Minor scale, A B C D# E F G# A' as a subset. These are denoted "Ray's name."

			More systematic names based on [[Modal UDP Notation\|UDP notation]] are also given. For Negri[9], the chroma-aligned generator is 15/8 (alternatively 28/15, 13/7, or 24/13). All generators below refer to this generator.

			The table below also gives step patterns and example spellings in [[Ups_and_Downs_Notation \| ups and downs notation]] for 19EDO and 29EDO.

			{\| class="wikitable"
			\|-
			\| \| Mode Number
			\| \| Ray's Name
			\| style="text-align:center;" \| UDP Name
			\| style="text-align:center;" \| 19 edo Step Pattern
			\| \| 19 EDO Spelling
			\| style="text-align:center;" \| 29 edo Step Pattern
			\| \| 29 EDO Spelling
			\| \| Interval Qualities
			\| style="text-align:center;" \| Other Notes
			\| \|
			\|-
			\| \| 1
			\| \| Austro-Hungarian Minor
			\| style="text-align:center;" \| 8\|0
			\| style="text-align:center;" \| 322222222
			\| \| A B C Db D# E F Gb G# A'
			\| style="text-align:center;" \| 433333333
			\| \| A B C^ C#^ D#v E F^ F#^ G#v A'
			\| \| M2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 2
			\| \| Reoriented
			\| style="text-align:center;" \| 0\|8
			\| style="text-align:center;" \| 222222223
			\| \| B C Db D# E F Gb G# A B'
			\| style="text-align:center;" \| 333333334
			\| \| B C^ C#^ D#v E F^ F#^ G#v A B'
			\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 m7
			\| \|
			\| \|
			\|-
			\| \| 3
			\| \| Negri Augmented Major
			\| style="text-align:center;" \| 1\|7
			\| style="text-align:center;" \| 222222232
			\| \| C Db D# E F Gb G# A B C'
			\| style="text-align:center;" \| 333333343
			\| \| C^ C#^ D#v E F^ F#^ G#v A B C^'
			\| \| m2 p2.5 m3.3 p4 d5 m5.7 d6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 4
			\| \| Faceless
			\| style="text-align:center;" \| 2\|6
			\| style="text-align:center;" \| 222222322
			\| \| Db D# E F Gb G# A B C Db'
			\| style="text-align:center;" \| 333333433
			\| \| C#^ D#v E F^ F#^ G#v A B C^ C#^'
			\| \| m2 p2.5 m3.3 p4 d5 m5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 5
			\| \| Amended
			\| style="text-align:center;" \| 3\|5
			\| style="text-align:center;" \| 222223222
			\| \| D# E F Gb G# A B C Db D#'
			\| style="text-align:center;" \| 333334333
			\| \| D#v E F^ F#^ G#v A B C^ C#^ D#v'
			\| \| m2 p2.5 m3.3 p4 d5 M5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 6
			\| \| Symmetric Negri Major
			\| style="text-align:center;" \| 4\|4
			\| style="text-align:center;" \| 222232222
			\| \| E F Gb G# A B C Db D# E'
			\| style="text-align:center;" \| 333343333
			\| \| E F^ F#^ G#v A B C^ C#^ D#v E'
			\| \| m2 p2.5 m3.3 p4 P5 M5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 7
			\| \| Carolingian
			\| style="text-align:center;" \| 5\|3
			\| style="text-align:center;" \| 222322222
			\| \| F Gb G# A B C Db D# E F'
			\| style="text-align:center;" \| 333433333
			\| \| F^ F#^ G#v A B C^ C#^ D#v E F^'
			\| \| m2 p2.5 m3.3 A4 P5 M5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 8
			\| \| Estranged
			\| style="text-align:center;" \| 6\|2
			\| style="text-align:center;" \| 223222222
			\| \| Gb G# A B C Db D# E F Gb'
			\| style="text-align:center;" \| 334333333
			\| \| F#^ G#v A B C^ C#^ D#v E F^ F#^'
			\| \| m2 p2.5 M3.3 A4 P5 M5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\| \| 9
			\| \| Ultra-Hittite
			\| style="text-align:center;" \| 7\|1
			\| style="text-align:center;" \| 232222222
			\| \| G# A B C Db D# E F Gb G#'
			\| style="text-align:center;" \| 343333333
			\| \| G#v A B C^ C#^ D#v E F^ F#^ G#v'
			\| \| m2 A2.5 M3.3 A4 P5 M5.7 P6.5 M7
			\| \|
			\| \|
			\|-
			\|}

	[[Category:Negri]]		[[Category:Negri]]
	[[Category:Modes]]		[[Category:Modes]]