Negri: Difference between revisions

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-See [[Marvel_temperaments#Negri|Marvel temperaments]].
+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]]: [&lt;1 2 2|, &lt;0 -4 3|]
+[[wedgie|Wedgie]]: &lt;&lt;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]]: [&lt;1 2 2 3|, &lt;0 -4 3 -2|]
+[[wedgie|Wedgie]]: &lt;&lt;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: [&lt;1 2 2 3 4|, &lt;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: [&lt;1 2 2 3 4 4|, &lt;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/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
-[[Category:soft_redirect]]