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Modes of Negri-9: Difference between revisions

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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;" | 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
| 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;" | 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
| 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;" | 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
| 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;" | 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
| 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;" | 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
| 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;" | 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
| 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;" | 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
| 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;" | 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
| 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;" | 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
| |
| |
|-
|}
[[Category:Negri]]
[[Category:Negri]]
[[Category:Modes]]
[[Category:Modes]]
[[Category:Lists of scales]]
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