Extraclassical tonality: Difference between revisions

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== Arto and Tendo Triads ==

Arto and Tendo triads are literally the same shape as major and minor triads, an arto triad 26:30:39 results by flatting the third of a minor triad by approx one quarter tone. The Tendo triad results by sharping the third in a major triad by approx one quarter tone. The Tendo chord 10:13:15, being of a simpler ratio, is considered to be more consonant than the arto chord which is quite complex. Also, 10:13:15 tendo chord is only slightly more dissonant than the minor chord 10:12:15. Although they appear to be the same, arto and tendo chords are not seven limit, and tuning them to 14:17:21 and 6:7:9 not only tunes the tendo chord horribly, but also causes the two triads to lose their characteristic 15 limit sound.

Arto and Tendo triads are literally the same shape as major and minor triads, an arto triad 26:30:39 results by flatting the third of a minor triad by approx one quarter tone. The Tendo triad results by sharping the third in a major triad by approx one quarter tone. The Tendo chord 10:13:15, being of a simpler ratio, is considered to be more consonant than the arto chord which is quite complex. Also, 10:13:15 tendo chord is only slightly more dissonant than the minor chord 10:12:15. Although they appear to be the same, arto and tendo chords are not seven limit, and tuning them to 14:17:21 and 6:7:9 not only tunes the tendo chord horribly, but also causes the two triads to lose their characteristic 15-odd-limit sound.

== Cross Tonality ==

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 == Arto and Tendo Triads ==
-Arto and Tendo triads are literally the same shape as major and minor triads, an arto triad 26:30:39 results by flatting the third of a minor triad by approx one quarter tone. The Tendo triad results by sharping the third in a major triad by approx one quarter tone. The Tendo chord 10:13:15, being of a simpler ratio, is considered to be more consonant than the arto chord which is quite complex. Also, 10:13:15 tendo chord is only slightly more dissonant than the minor chord 10:12:15. Although they appear to be the same, arto and tendo chords are not seven limit, and tuning them to 14:17:21 and 6:7:9 not only tunes the tendo chord horribly, but also causes the two triads to lose their characteristic 15 limit sound.
+Arto and Tendo triads are literally the same shape as major and minor triads, an arto triad 26:30:39 results by flatting the third of a minor triad by approx one quarter tone. The Tendo triad results by sharping the third in a major triad by approx one quarter tone. The Tendo chord 10:13:15, being of a simpler ratio, is considered to be more consonant than the arto chord which is quite complex. Also, 10:13:15 tendo chord is only slightly more dissonant than the minor chord 10:12:15. Although they appear to be the same, arto and tendo chords are not seven limit, and tuning them to 14:17:21 and 6:7:9 not only tunes the tendo chord horribly, but also causes the two triads to lose their characteristic 15-odd-limit sound.
 == Cross Tonality ==