Ammonite: Difference between revisions

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'''Ammonite''', 2.3.5.7.11.13[29 & 37], is a temperament generated by an accurate 13/10, such that
'''Ammonite''', 2.3.5.7.11.13[29 & 37], is a temperament generated by an accurate 13/10, such that
* 2 generators = 22/13
* 2 generators = 22/13
* 3 generators = 10/9~11/10~12/11 (hence Ammonite is a [[weak extension]] of [[Porcupine]])
* 3 generators = 10/9~11/10~12/11 (hence Ammonite is a [[weak extension]] of 2.3.5.11 [[Porcupine]])
* 4 generators = 10/7
* 4 generators = 10/7
* 9 generators = 4/3
* 9 generators = 4/3

Revision as of 03:43, 7 March 2026

Ammonite, 2.3.5.7.11.13[29 & 37], is a temperament generated by an accurate 13/10, such that

  • 2 generators = 22/13
  • 3 generators = 10/9~11/10~12/11 (hence Ammonite is a weak extension of 2.3.5.11 Porcupine)
  • 4 generators = 10/7
  • 9 generators = 4/3

Ammonite generates a very soft oneirotonic (5L3s) MOS with L ~= 11/10 and s ~= 14/13. It is most accurate as its 2.7/5.11/5.13/5 restriction, which is technically called Tridec; Ammonite[8] provides 5:11:13 and 5:7:13 chords.

Interval chain

# Cents* Approximate ratios
0 0.0 1/1
1 454.2 13/10, 9/7
2 908.4 22/13
3 162.6 11/10, 12/11, 10/9
4 616.9 10/7
5 1071.1 13/7
6 325.3 6/5, 11/9
7 779.5 11/7
8 33.7 56/55
9 487.9 4/3
10 942.1 12/7
11 196.4 28/25
12 650.6 16/11
13 1104.8

* In pure-13/10 tuning