Negri: Difference between revisions
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[https://soundcloud.com/sedumitr/la-multi-ani-19_edo La Mulți Ani] (negri[10], 19edo) - [http://micro.soonlabel.com/gene_ward_smith/Others/Dumitrescu/__La_Mul_i_Ani__negri_10___19edo__by_Sebastian_Dumitrescu.mp3 play] by [[Sebastian_Dumitrescu|Sebastian Dumitrescu]] | |||
[https://soundcloud.com/gareth-hearne/negri-shmegri Negri Shmegri] [http://micro.soonlabel.com/gene_ward_smith/Others/Hearne/Negri%20Shmegri.mp3 play] by [[Gareth_Hearne|Gareth Hearne]] in Negri[9] symmetric mode, 19et tuning | [https://soundcloud.com/gareth-hearne/negri-shmegri Negri Shmegri] - | ||
[http://micro.soonlabel.com/gene_ward_smith/Others/Hearne/Negri%20Shmegri.mp3 play] by [[Gareth_Hearne|Gareth Hearne]] in Negri[9] symmetric mode, 19et tuning | |||
[https://youtu.be/bCLZChG6U6c Negri Comma Pump] played by [[Mike Battaglia]] | |||
Revision as of 17:19, 22 July 2019
Negri is a temperament generated by a 125.7549 generator, which can be identified with a tempered 16/15, such that:
- Three of them make a tempered 5/4
- Four of them make a tempered 4/3
It is an important temperament which is most notable for being in 19-EDO, where it is generated by the "diatonic half step" of 2\19, but can also be found (albeit not very accurately) in 9-EDO and 10-EDO.
It forms 9-note MOS's at 1L8s, with the mode ssssLssss being particularly useful as it has 4:5:6's on the 1/1 and 3/2, as well as 10-note MOS's at 9L1s, which is also useful in that it makes 4:5:6 and 10:12:15 share the same "shape" of generic intervals in the scale (as do many decatonic scales.
The 7-limit extensions can also be viewed as joining with the Marvel temperament family; the tuning information below is also located there.
5-limit
(Note that this is technically not a Marvel temperament until the 7-limit, but also placed here for reference)
Commas: 16875/16384
POTE temperament: ~16/15 = 125.7549
Map: [<1 2 2|, <0 -4 3|]
Wedgie: <<4 -3 -14||
7-limit
Commas: 49/48, 225/224
POTE temperament: ~15/14 = 125.608
Map: [<1 2 2 3|, <0 -4 3 -2|]
Wedgie: <<4 -3 2 -14 -8 13||
11-limit
Commas: 45/44, 49/48, 56/55
POTE generator: ~15/14 = 126.474
Map: [<1 2 2 3 4|, <0 -4 3 -2 -5|]
EDOs: 9, 10, 19
Badness: 0.0262
13-limit
Commas: 45/44, 49/48, 56/55, 78/77
POTE generator: ~14/13 = 126.431
Map: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|]
EDOs: 9, 10, 19
Examples
La Mulți Ani (negri[10], 19edo) - play by Sebastian Dumitrescu
Negri Shmegri - play by Gareth Hearne in Negri[9] symmetric mode, 19et tuning
Negri Comma Pump played by Mike Battaglia