Negri: Difference between revisions

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* Four of them make a tempered [[4/3]].

It is most naturally viewed as a 2.3.5.7.13 [[subgroup]] temperament, tempering out [[49/48]], [[65/64]] and [[91/90]]. This is sometimes called '''negra''', and it is realized consistently in [[19edo]] and [[29edo]]. Other ~~tunings~~ which may be usable as a negri or negra ~~temperament~~ include [[9edo]], [[10edo]], [[28edo]], [[47edo]], and [[48edo]], all of which are consistent through (at least) the [[5-odd-limit]].

It is most naturally viewed as a 2.3.5.7.13 [[subgroup]] temperament, [[tempering out]] [[49/48]], [[65/64]] and [[91/90]]. This is sometimes called '''negra''', and it is realized consistently in [[19edo]] and [[29edo]]. Other [[edo]]s which may be usable as a negri or negra tuning include [[9edo]], [[10edo]], [[28edo]], [[47edo]], and [[48edo]], all of which are [[consistent]] through (at least) the [[5-odd-limit]], since in the broadest sense, negri is defined as tempering out the [[negri comma]] in the [[5-limit]].

Negri is generated by a large "semitone" of around 125 cents and forms 9-note and 10-note [[mos]]ses, negri[9] and negri[10], at [[1L 8s]] and [[9L 1s]] respectively. In [[19edo]], the negri generator is the "diatonic half step" of 2\19, which allows these mosses to be written fairly simply in conventional notation. For example, the ssssLssss mode of 19edo could be written as E F Gb G# A B C Db D# E. This mode is particularly useful as it has identical ssss pentachords (analogous to the [[tetrachord]]s of classical Greek music theory) on the 1/1 and 3/2. It is also notable in that a subset of these notes form the E Double Harmonic Major scale, E F G# A B C D# E, which features in a wide variety of world musical traditions. In fact, all modes of negri[9] and negri[10] contain at least one mode of the double harmonic scale as a subset.

@@ Line 11: / Line 11: @@
 * Four of them make a tempered [[4/3]].
-It is most naturally viewed as a 2.3.5.7.13 [[subgroup]] temperament, tempering out [[49/48]], [[65/64]] and [[91/90]]. This is sometimes called '''negra''', and it is realized consistently in [[19edo]] and [[29edo]]. Other tunings which may be usable as a negri or negra temperament include [[9edo]], [[10edo]], [[28edo]], [[47edo]], and [[48edo]], all of which are consistent through (at least) the [[5-odd-limit]].
+It is most naturally viewed as a 2.3.5.7.13 [[subgroup]] temperament, [[tempering out]] [[49/48]], [[65/64]] and [[91/90]]. This is sometimes called '''negra''', and it is realized consistently in [[19edo]] and [[29edo]]. Other [[edo]]s which may be usable as a negri or negra tuning include [[9edo]], [[10edo]], [[28edo]], [[47edo]], and [[48edo]], all of which are [[consistent]] through (at least) the [[5-odd-limit]], since in the broadest sense, negri is defined as tempering out the [[negri comma]] in the [[5-limit]].
 Negri is generated by a large "semitone" of around 125 cents and forms 9-note and 10-note [[mos]]ses, negri[9] and negri[10], at [[1L 8s]] and [[9L 1s]] respectively. In [[19edo]], the negri generator is the "diatonic half step" of 2\19, which allows these mosses to be written fairly simply in conventional notation. For example, the ssssLssss mode of 19edo could be written as E F Gb G# A B C Db D# E. This mode is particularly useful as it has identical ssss pentachords (analogous to the [[tetrachord]]s of classical Greek music theory) on the 1/1 and 3/2. It is also notable in that a subset of these notes form the E Double Harmonic Major scale, E F G# A B C D# E, which features in a wide variety of world musical traditions. In fact, all modes of negri[9] and negri[10] contain at least one mode of the double harmonic scale as a subset.