Ptolemismic chords: Difference between revisions
m Improve readability; recategorize |
Adjust the rotation of certain chords to expose the perfect fifth |
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The inversely related pairs of chords are | The inversely related pairs of chords are | ||
* 1–11/8–3/2–5/3 with steps 11/8, 12/11, 11/10, 6/5, and its inverse | * 1–11/8–3/2–5/3 with steps 11/8, 12/11, 11/10, 6/5, and its inverse | ||
* | * 1–12/11–3/2–9/5 with steps 12/11, 11/8, 6/5, 11/10; | ||
* 1–5/ | * 1–5/4–3/2–9/5 with steps 5/4, 6/5, 6/5, 11/10, and its inverse | ||
* | * 1–6/5–3/2–5/3 with steps 6/5, 5/4, 11/10, 6/5. | ||
For pentads, there are two palindromic chords and a pair of chords in inverse relationship. The palindromic chords are | For pentads, there are two palindromic chords and a pair of chords in inverse relationship. The palindromic chords are | ||
* | * 1–9/8–5/4–3/2–9/5 with steps 9/8, 11/10, 6/5, 6/5, 11/10; | ||
* | * 1–11/8–3/2–5/3–11/6 with steps 11/8, 12/11, 11/10, 11/10, 12/11. | ||
The inversely related pair of chords is | The inversely related pair of chords is | ||
* 1–5/ | * 1–5/4–3/2–5/3–9/5 with steps 5/4, 6/5, 11/10, 12/11, 11/10, and its inverse | ||
* | * 1–6/5–3/2–5/3–9/5 with steps 6/5, 5/4, 11/10, 12/11, 11/10. | ||
[[Equal temperament]]s with ptolemismic chords include {{EDOs| 19, 22, 37, 41, and 104 }}. | [[Equal temperament]]s with ptolemismic chords include {{EDOs| 19, 22, 37, 41, and 104 }}. | ||