Negri: Difference between revisions
Wikispaces>FREEZE No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
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_temperaments#Negri|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) | |||
[[Comma|Comma]]s: 16875/16384 | |||
[[POTE_tuning|POTE temperament]]: ~16/15 = 125.7549 | |||
[[Map|Map]]: [<1 2 2|, <0 -4 3|] | |||
[[wedgie|Wedgie]]: <<4 -3 -14|| | |||
EDOs: [[9edo|9]], [[10edo|10]], [[19edo|19]], [[86edo|86]] | |||
==7-limit== | |||
[[Comma|Comma]]s: 49/48, 225/224 | |||
[[POTE_tuning|POTE temperament]]: ~15/14 = 125.608 | |||
[[Map|Map]]: [<1 2 2 3|, <0 -4 3 -2|] | |||
[[wedgie|Wedgie]]: <<4 -3 2 -14 -8 13|| | |||
EDOs: [[9edo|9]], [[10edo|10]], [[19edo|19]], [[86edo|86]] | |||
==11-limit== | |||
Commas: 45/44, 49/48, 56/55 | |||
[[POTE_tuning|POTE generator]]: ~15/14 = 126.474 | |||
Map: [<1 2 2 3 4|, <0 -4 3 -2 -5|] | |||
EDOs: 9, 10, 19 | |||
[[Badness|Badness]]: 0.0262 | |||
==13-limit== | |||
Commas: 45/44, 49/48, 56/55, 78/77 | |||
[[POTE_tuning|POTE generator]]: ~14/13 = 126.431 | |||
Map: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|] | |||
EDOs: 9, 10, 19 | |||
= Examples = | |||
[[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/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 | ||
Revision as of 17:15, 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