Bird's eye view of temperaments by accuracy: Difference between revisions
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=== [[Negri]] === | === [[Negri]] === | ||
Note count: 9 for {3, 5, 7(, 13, 15)} ([[1L 8s]] or [[9L 1s]]) | Note count: 9 for {3, 5, 7(, 13, 15)} ([[1L 8s]] or [[9L 1s]]) | ||
[[#Generator tunings|Generator tunings]]: (2\30<3>, 19\30<3>) | |||
Like [[#Godzilla]], negri is a temperament that trades accuracy for simplicity. It divides the 4/3 into four equal semitone-like steps that resemble steps of 10edo, so that it can be seen as halving the generator of godzilla, which it uses to find prime 5 more quickly. As a result, odd 9 is found at 8 generators, so you can't find odd 9 from the same position as odd 5 unless you use at least 12 notes, which corresponds to the 19-note MOS scale of [[10L 9s]], at which point (like godzilla) you may as well use [[19edo]] with octave-tempering (e.g. [[30edt]]), though [[29edo]] also supports a stranger tuning of it if you want to try a subset of that with sharp-octave-tempering. Negri can also be interpreted as a temperament of the 2.3.5.13 subgroup, for which an interesting tuning is [[48edo]] by using the 48f val also used by its strange rendition of [[#Buzzard]], and as a 5-limit temperament, it is supported by yet more tunings (generally: ones using a flat mapping for 5/4 and 3/2 which split 4/3 into four of the implied ~16/15). | Like [[#Godzilla]], negri is a temperament that trades accuracy for simplicity. It divides the 4/3 into four equal semitone-like steps that resemble steps of 10edo, so that it can be seen as halving the generator of godzilla, which it uses to find prime 5 more quickly. As a result, odd 9 is found at 8 generators, so you can't find odd 9 from the same position as odd 5 unless you use at least 12 notes, which corresponds to the 19-note MOS scale of [[10L 9s]], at which point (like godzilla) you may as well use [[19edo]] with octave-tempering (e.g. [[30edt]]), though [[29edo]] also supports a stranger tuning of it if you want to try a subset of that with sharp-octave-tempering. Negri can also be interpreted as a temperament of the 2.3.5.13 subgroup, for which an interesting tuning is [[48edo]] by using the 48f val also used by its strange rendition of [[#Buzzard]], and as a 5-limit temperament, it is supported by yet more tunings (generally: ones using a flat mapping for 5/4 and 3/2 which split 4/3 into four of the implied ~16/15). | ||