Modes of Negri-9: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older edit
VisualWikitext
Rperlner (talk | contribs)
autopatrolled, emailconfirmed
139 edits
Fixed 29EDO Step Pattern (because apparently I can't count.)
Overthink (talk | contribs)
autopatrolled
2,991 edits
m todo
 
(5 intermediate revisions by 3 users not shown)
Line 1: Line 1:
__FORCETOC__
__FORCETOC__
=Features of Negri[9]=
{{Todo|intro|cleanup|inline=1}}
==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."  


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"
Line 21: Line 22:
| | Interval Qualities
| | Interval Qualities
| style="text-align:center;" | Other Notes
| style="text-align:center;" | Other Notes
| |
|-
|-
| | 1
| | 1
Line 31: Line 31:
| | 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 42: Line 41:
| | 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 51:
| | 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 64: Line 61:
| | 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 75: Line 71:
| | 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 81:
| | 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 91:
| | 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 101:
| | 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 111:
| | 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
| |
| |
| |
|-
|-
|}
|}


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

Latest revision as of 00:06, 10 January 2026

Todo: intro, cleanup

Features of Negri[9]

The nine note 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 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 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 for 19EDO and 29EDO.

Mode Number Ray's Name UDP Name 19 edo Step Pattern 19 EDO Spelling 29 edo Step Pattern 29 EDO Spelling Interval Qualities Other Notes
1 Austro-Hungarian Minor 8|0 322222222 A B C Db D# E F Gb G# A' 533333333 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 0|8 222222223 B C Db D# E F Gb G# A B' 333333335 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 1|7 222222232 C Db D# E F Gb G# A B C' 333333353 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 2|6 222222322 Db D# E F Gb G# A B C Db' 333333533 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 3|5 222223222 D# E F Gb G# A B C Db D#' 333335333 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 4|4 222232222 E F Gb G# A B C Db D# E' 333353333 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 5|3 222322222 F Gb G# A B C Db D# E F' 333533333 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 6|2 223222222 Gb G# A B C Db D# E F Gb' 335333333 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 7|1 232222222 G# A B C Db D# E F Gb G#' 353333333 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


View • Talk • EditScale galleries
JI scales 12-tone JI • Combination product set • Constant structure • Harry Partch-related • Maximal harmony epimorphic • MOS transversal • Non-octave JI • Wakalix • Z-polygon transversal • Other JI
Full list: Category:Just intonation scales
Tempered scales 11-tone MOS • 12-tone tempered • Chromatic pair • Clipper • Double mode • Essentially tempered • Fantasy detemper • Marvel woo • Meantone • Min ambiguity • MOS cradle • MOS (general) • Negri-9 • Neutral third • Non-octave tempered • Scalesmith systematic • Ternary • Other tempered
Full list: Category:Tempered scales
Scales in EDOs in 9edo • 10 • 11 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 46 • 49 • 53 • 72 • 80
All other scale gallery pages are included in Category:Lists of scales.
See also List of music software#Scale collections.
Retrieved from "https://en.xen.wiki/index.php?title=Modes_of_Negri-9&oldid=221194"