29edo: Difference between revisions

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* [[leapfrog]] diatonic [[5L 2s]] 5552552 (17\29, 1\1)

* [[leapfrog]] chromatic [[5L 7s]] 3232323223232322 (17\29, 1\1)

* [[leapfrog]] hyperchromatic [[12L 5s]] 21221221221222122122122 (17\29, 1\1)

*[[porcupine]] [[1L 6s]] 4444445 (4\29, 1\1)

* [[porcupine]] [[7L 1s]] 44444441 (4\29, 1\1)

* [[porcupine]] [[7L 8s]] 313131313131311 (4\29, 1\1)

* [[porcupine]] [[7L 15s]] 2112112112112112112111 (4\29, 1\1)

* [[semaphore]] [[4L 1s]] 56666 (6\29, 1\1)

* [[semaphore]] [[5L 4s]] 551515151 (6\29, 1\1)

* [[semaphore]] [[5L 9s]] 41411411411411 (6\29, 1\1)

* [[semaphore]] [[5L 14s]] 3113111311131113111 (6\29, 1\1)

* Pathological [[semaphore]] [[5L 19s]] 211121111211112111121111 (6\29, 1\1)

* [[nautilus]] [[1L 13s]] 22222222222223 (2\29, 1\1)

* [[nautilus]] [[14L 1s]] 222222222222221 (2\29, 1\1)

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29edo is not a meantone system, but it could nonetheless be used as a basis for common-practice music if one considers the superfourth as a consonant, alternative type of fourth, and the 11:13:16 as an alternative type of consonant "doubly minor" triad. We can then use a diatonic scale such as 5435453 (which resembles Didymus' 5-limit JI diatonic scale, but with the syntonic comma being exaggerated in size). This scale has a very similar harmonic structure to a meantone diatonic scale, except that one of its minor triads is doubly-minor.

Such a scale could be called "nicetone" as a play on meantone. Since it preserves most of the same 5-limit relationships, nicetone is only slightly xenharmonic (in contrast to [[Superpyth|superpyth]], which is quite blatantly so). The fact that 29edo's superfourth is within a cent of 15:11, and its 13:11 is within half a cent of a just 13:11, are both happy accidents. One just has to make that one is using a timbre that allows these higher-limit harmonic relationships to sound apparent and consonant enough to substitute for their simpler counterparts.

Such a scale could be called "nicetone" as a play on meantone. Since it preserves most of the same 5-limit relationships, nicetone is only slightly xenharmonic (in contrast to [[Superpyth|superpyth]], which is quite blatantly so). The fact that 29edo's superfourth is within a cent of 15:11, and its 13:11 is within half a cent of a just 13:11, are both happy accidents. One just has to make sure that one is using a timbre that allows these higher-limit harmonic relationships to sound apparent and consonant enough to substitute for their simpler counterparts. The nicetone scale is also the cradle of the superdiatonic scales 522352253 and 3243324323 in between the [[leapfrog]] diatonic and chromatic scales.

[[File:29edoNicetone.mp3]]

@@ Line 701: / Line 701: @@
 * [[leapfrog]] diatonic [[5L 2s]] 5552552 (17\29, 1\1)
+* [[leapfrog]] chromatic [[5L 7s]] 3232323223232322 (17\29, 1\1)
+* [[leapfrog]] hyperchromatic [[12L 5s]] 21221221221222122122122 (17\29, 1\1)
+*[[porcupine]] [[1L 6s]] 4444445 (4\29, 1\1)
 * [[porcupine]] [[7L 1s]] 44444441 (4\29, 1\1)
+* [[porcupine]] [[7L 8s]] 313131313131311 (4\29, 1\1)
+* [[porcupine]] [[7L 15s]] 2112112112112112112111 (4\29, 1\1)
+* [[semaphore]] [[4L 1s]] 56666 (6\29, 1\1)
 * [[semaphore]] [[5L 4s]] 551515151 (6\29, 1\1)
+* [[semaphore]] [[5L 9s]] 41411411411411 (6\29, 1\1)
+* [[semaphore]] [[5L 14s]] 3113111311131113111 (6\29, 1\1)
+* Pathological [[semaphore]] [[5L 19s]] 211121111211112111121111 (6\29, 1\1)
+* [[nautilus]] [[1L 13s]] 22222222222223 (2\29, 1\1)
 * [[nautilus]] [[14L 1s]] 222222222222221 (2\29, 1\1)
@@ Line 724: / Line 734: @@
 edo is not a meantone system, but it could nonetheless be used as a basis for common-practice music if one considers the superfourth as a consonant, alternative type of fourth, and the 11:13:16 as an alternative type of consonant "doubly minor" triad. We can then use a diatonic scale such as 5435453 (which resembles Didymus' 5-limit JI diatonic scale, but with the syntonic comma being exaggerated in size). This scale has a very similar harmonic structure to a meantone diatonic scale, except that one of its minor triads is doubly-minor.
-Such a scale could be called "nicetone" as a play on meantone. Since it preserves most of the same 5-limit relationships, nicetone is only slightly xenharmonic (in contrast to [[Superpyth|superpyth]], which is quite blatantly so). The fact that 29edo's superfourth is within a cent of 15:11, and its 13:11 is within half a cent of a just 13:11, are both happy accidents. One just has to make that one is using a timbre that allows these higher-limit harmonic relationships to sound apparent and consonant enough to substitute for their simpler counterparts.
+Such a scale could be called "nicetone" as a play on meantone. Since it preserves most of the same 5-limit relationships, nicetone is only slightly xenharmonic (in contrast to [[Superpyth|superpyth]], which is quite blatantly so). The fact that 29edo's superfourth is within a cent of 15:11, and its 13:11 is within half a cent of a just 13:11, are both happy accidents. One just has to make sure that one is using a timbre that allows these higher-limit harmonic relationships to sound apparent and consonant enough to substitute for their simpler counterparts. The nicetone scale is also the cradle of the superdiatonic scales 522352253 and 3243324323 in between the [[leapfrog]] diatonic and chromatic scales.
 [[File:29edoNicetone.mp3]]