4:5:6: Difference between revisions
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Aura: your additions were too off-topic. This is a page about a chord, not a scale. I suggest moving your personal uses of chords and scales to a personal viewpoints page, e.g. "Aura's thoughts on...". Furthermore, 55/32 is too complex to be a common or reasonable 7th, so I replaced it with11/6. |
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{{Infobox Chord|ColorName=yo or y}} | {{Infobox Chord|ColorName=yo or y}} | ||
'''4:5:6''' is the classical [[major triad]], also known as the '''Ptolemaic major triad'''. It has the lowest [[odd limit]] of all the JI triads | '''4:5:6''' is the classical [[major triad]], also known as the '''Ptolemaic major triad'''. It has the lowest [[odd limit]] of all the JI triads. | ||
It is found on the I ({{Frac|1|1}}), IV ({{Frac|4|3}}), and V ({{Frac|3|2}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), a very common [[5-limit]] diatonic. | It is found on the I ({{Frac|1|1}}), IV ({{Frac|4|3}}), and V ({{Frac|3|2}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), a very common [[5-limit]] diatonic. | ||
Revision as of 03:57, 29 October 2025
| Chord information |
4:5:6 is the classical major triad, also known as the Ptolemaic major triad. It has the lowest odd limit of all the JI triads.
It is found on the I (1⁄1), IV (4⁄3), and V (3⁄2) of Ptolemy's intense diatonic scale (Zarlino), a very common 5-limit diatonic.
Common tetrads based on this triad (5-limit except where noted):
- 12:15:18:20 adds 5/3
- 8:10:12:15 adds 15/8
- 36:45:54:64 adds 16/9
- 20:25:30:36 adds 9/5
- 4:5:6:7 adds 7/4 (7-limit)
- 12:15:18:22 adds 11/6 (11-limit)