Negri: Difference between revisions
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'''Negri''', [[19edo|19]] & [[29edo|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 (19edo notation): | {{Infobox regtemp | ||
| Title = Negri | |||
| Subgroups = 2.3.5, 2.3.5.7, 2.3.5.7.13 | |||
| Comma basis = [[16875/16384]] (2.3.5);<br> [[49/48]], [[225/224]] (2.3.5.7);<br> [[49/48]], [[65/64]], [[91/90]] (2.3.5.7.13) | |||
| Edo join 1 = 10 | Edo join 2 = 19 | |||
| Mapping = 1; -4 3 -2 -3 | |||
| Generators = 16/15 | Generators tuning = 125.4 | Optimization method = CWE | |||
| MOS scales = [[1L 8s]], [[9L 1s]], [[10L 9s]] | |||
| Odd limit 1 = 7 | Mistuning 1 = 17.8 | Complexity 1 = 8 | |||
| Odd limit 2 = 2.3.5.7.13 15 | Mistuning 2 = 17.8 | Complexity 2 = 19 | |||
}} | |||
'''Negri''', [[19edo|19]] & [[29edo|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 | F C F A | ||
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== Extensions == | == Extensions == | ||
Negri has an [[endoparticular]] extension to 2.3.5.7.13 via tempering out 49/48 and 676/675. It also has a | Negri has an [[endoparticular]] extension to 2.3.5.7.13 via tempering out 49/48 and 676/675, called ''Negrisept''. 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 == | == List of patent vals == | ||
Latest revision as of 04:18, 28 March 2026
| 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, called Negrisept. 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 |
