135:160:192: Difference between revisions

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'''135:160:192''' is a [[diminished triad]] found on ii<sup>o</sup> ({{Frac|9|8}}) and ♯vi<sup>o</sup> ({{Frac|45|32}}) in the [[duodene]].
'''135:160:192''' is a [[diminished triad]] found on ii<sup>o</sup> ({{Frac|9|8}}) and ♯vi<sup>o</sup> ({{Frac|45|32}}) in the [[duodene]].


Like [[45:54:64]], its diminished fifth is formed from a [[32/27]] Pythagorean minor third and a [[6/5]] Ptolemaic minor third, but they are stacked in the opposite order. While 45:54:64 is an [[otonal]] chord, 135:160:192 is [[utonal]].
Like [[45:54:64]], its diminished fifth is formed from a [[32/27]] ([[3-limit]]) minor third and a [[6/5]] ([[5-limit]]) minor third, but they are stacked in the opposite order. While 45:54:64 is an [[otonal]] chord, 135:160:192 is [[utonal]].


[[Category:Diminished triads|###]]
[[Category:Diminished triads|###]]

Revision as of 03:07, 28 August 2024

Chord information
Harmonics 135:160:192
Subharmonics 1/(64:54:45)
Intervals from root 1/1 – 32/27 – 64/45
Cents from root 0¢ 294¢ 610¢
Step intervals 32/27, 6/5
Step cents 294¢, 316¢
Prime limit 5
Genus 33 ⋅ 5 (135)
Intervallic odd limit 45
Otonal odd limit 135
Utonal odd limit 45
Consistent edos (d ≥ 2) 4edo***, 8edo**, 12edo*, 16edo*, …

135:160:192 is a diminished triad found on iio (98) and ♯vio (4532) in the duodene.

Like 45:54:64, its diminished fifth is formed from a 32/27 (3-limit) minor third and a 6/5 (5-limit) minor third, but they are stacked in the opposite order. While 45:54:64 is an otonal chord, 135:160:192 is utonal.