Negri: Difference between revisions

From Xenharmonic Reference
Line 16: Line 16:
The following patent vals support 5-limit Negri, not including vals contorted in the 5-limit.
The following patent vals support 5-limit Negri, not including vals contorted in the 5-limit.


1, 9, 10, 19, 28, 29, 47, 48
{| class="wikitable sortable"
|-
!Edo!!Generator!!Fifth
|-
|1||0||1200.000
|-
|10||120||720.000
|-
|29||124.13793103448276||703.448
|-
|48||125||700.000
|-
|19||126.3157894736842||694.737
|-
|47||127.65957446808511||689.362
|-
|28||128.57142857142858||685.714
|-
|9||133.33333333333334||666.667
|}


{{Navbox regtemp}}
{{Navbox regtemp}}
{{Cat|temperaments}}
{{Cat|temperaments}}

Revision as of 02:09, 28 March 2026

Negri, 19 & 29, is a low-accuracy 5-limit temperament that splits 4/3 into four sharp 16/15's. It enables the following comma loop progression (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 weak 7-limit extension Semibuzzard which tempers out the Buzzard comma 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
29 124.13793103448276 703.448
48 125 700.000
19 126.3157894736842 694.737
47 127.65957446808511 689.362
28 128.57142857142858 685.714
9 133.33333333333334 666.667