Negri
From Xenharmonic Reference
| Negri |
49/48, 225/224 (2.3.5.7);
49/48, 65/64, 91/90 (2.3.5.7.13)
2.3.5.7.13 15-odd-limit: 17.8¢
2.3.5.7.13 15-odd-limit: 19 notes
Negri, 19 & 29, is a low-accuracy 5-limit temperament that splits 4/3 into four sharp 16/15's, each approximately the size of 14/13. It enables the following comma loop progression (written here in 19edo notation):
F C F A A C E (F -> A: 5/4 up) E B E G# (A -> E: 4/3 down) G# B D# (E -> G#: 5/4 up) D# A# D# Fx (G# -> D#: 4/3 down) Fx A# Cx = Gb Bbb Db (D# -> Fx: 5/4 up) Db Ab Db F (Gb -> Db: 4/3 down) F C F A (Db -> F: 5/4 up)
Extensions
Negri has an endoparticular extension to 2.3.5.7.13 via tempering out 49/48 and 676/675. It also has a 7-limit weak extension Semibuzzard, splitting the octave into two 7/5's, which tempers out 50/49 and the Buzzard comma 65536/64827 instead.
List of patent vals
The following patent vals support 5-limit Negri, not including vals contorted in the 5-limit.
| Edo | Generator | Fifth |
|---|---|---|
| 1 | 0 | 1200.000 |
| 10 | 120 | 720.000 |
| 29 | 124.138 | 703.448 |
| 48 | 125 | 700.000 |
| 19 | 126.316 | 694.737 |
| 47 | 127.660 | 689.362 |
| 28 | 128.571 | 685.714 |
| 9 | 133.333 | 666.667 |
