Modes of Negri-9: Difference between revisions
Fixed 29EDO Step Pattern (because apparently I can't count.) |
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=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 [[ | 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]] | |||