Negri: Difference between revisions

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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, 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.
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
Subgroups 2.3.5, 2.3.5.7, 2.3.5.7.13
Reduced mapping ⟨1; -4 3 -2 -3]
ET join 10 & 19
Generators (CWE) ~16/15 = 125.4¢
MOS scales 1L 8s, 9L 1s, 10L 9s
Ploidacot omega-tetracot
Comma basis 16875/16384 (2.3.5);
49/48, 225/224 (2.3.5.7);
49/48, 65/64, 91/90 (2.3.5.7.13)
Minimax error 7-odd-limit: 17.8¢;
2.3.5.7.13 15-odd-limit: 17.8¢
Target scale size 7-odd-limit: 8 notes;
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


ViewTalkEditRegular temperaments
Rank-2
Acot Blackwood (1/5-octave) • Whitewood (1/7-octave) • Compton (1/12-octave)
Monocot MeantoneSchismicLeapdayArchy
Complexity 2 Diaschismic (diploid monocot) • Pajara (diploid monocot) • Injera (diploid monocot) • Rastmatic (dicot) • Mohajira (dicot) • Intertridecimal (dicot) • Interseptimal (alpha-dicot)
Complexity 3 Augmented (triploid) • Misty (triploid) • Slendric (tricot) • Porcupine (omega-tricot)
Complexity 4 Diminished (tetraploid) • Tetracot (tetracot) • Buzzard (alpha-tetracot) • Squares (beta-tetracot) • Negri (omega-tetracot)
Complexity 5-6 Magic (alpha-pentacot) • Amity (gamma-pentacot) • Kleismic (alpha-hexacot) • Miracle (hexacot)
Higher complexity Orwell (alpha-heptacot) • Sensi (beta-heptacot) • Octacot (octacot) • Wurschmidt (beta-octacot) • Valentine (enneacot) • Ammonite (epsilon-enneacot) • Myna (beta-decacot) • Ennealimmal (enneaploid dicot)
Straddle-3 A-Team (alter-tricot) • Machine (alter-monocot)
No-3 Trismegistus (alpha-triseph) • Orgone (trimech) • Didacus (diseph)
No-octaves Sensamagic (monogem)
Exotemperament DicotMavilaFather
Higher-rank
Rank-3 HemifamityMarvelParapyth