Modes of Negri-9
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 |