27:32:40:48: Difference between revisions

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'''27:32:40:48''' is a [[minor seventh chord]] found on the ii ({{Frac|5|4}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common 5-limit diatonic.
'''27:32:40:48''' is a [[minor seventh chord]] found on the ii ({{Frac|5|4}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common 5-limit diatonic.


It is the only seventh chord in the diatonic scale to contain both a [[40/27]] ''grave fifth'' and a [[3/2]] ''perfect fifth''.
It is the only seventh chord in Ptolemy's intense diatonic scale to contain both a [[40/27]] ''grave fifth'' and a [[3/2]] ''perfect fifth''.


The [[meantone]] tuning of this chord is equivalent to the meantone tuning of [[10:12:15:18]].
The [[meantone]] tuning of this chord is equivalent to the meantone tuning of [[10:12:15:18]].


[[Category:Minor seventh chords|##]]
[[Category:Minor seventh chords|##]]

Revision as of 07:11, 31 August 2024

Chord information
Harmonics 27:32:40:48
Subharmonics 1/(160:135:108:90)
Intervals from root 1/1 – 32/27 – 40/27 – 16/9
Cents from root 0¢ 294¢ 680¢ 996¢
Step intervals 32/27, 5/4, 6/5
Step cents 294¢, 386¢, 316¢
Prime limit 5
Genus 33 ⋅ 5 (135)
Intervallic odd limit 27
Otonal odd limit 27
Utonal odd limit 135
Consistent edos (d ≥ 2) 12edo*, 41edo*, 53edo***, 65edo*

27:32:40:48 is a minor seventh chord found on the ii (54) of Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic.

It is the only seventh chord in Ptolemy's intense diatonic scale to contain both a 40/27 grave fifth and a 3/2 perfect fifth.

The meantone tuning of this chord is equivalent to the meantone tuning of 10:12:15:18.