10:12:15: Difference between revisions

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'''10:12:15''' is a 5-limit [[minor triad]] found on the iii ({{Frac|5|4}}) and vi ({{Frac|5|3}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common [[5-limit]] diatonic.
'''10:12:15''' is a 5-limit [[minor triad]] found on the iii ({{Frac|5|4}}) and vi ({{Frac|5|3}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common [[5-limit]] diatonic.
Unlike the other 5-limit minor ([[27:32:40]]), 10:12:15 is [[utonal]].


[[Category:Minor triads]]
[[Category:Minor triads]]

Revision as of 03:31, 18 August 2024

Chord information
Harmonics 10:12:15
Subharmonics 1/(6:5:4)
Intervals from root 1/1–6/5–3/2
Cents from root 0¢–316¢–702¢
Step intervals 6/5, 5/4
Step cents 316¢, 386¢
Prime limit 5
Genus 3⋅5 (15)
Intervallic odd limit 5
Otonal odd limit 15
Utonal odd limit 5
Consistent edos (d ≥ 2) 3edo*, 12edo*, 15edo*, 19edo**, …

10:12:15 is a 5-limit minor triad found on the iii (5⁄4) and vi (5⁄3) of Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic.

Unlike the other 5-limit minor (27:32:40), 10:12:15 is utonal.

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