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''', [[29edo|29]] & [[37edo|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 2.3.5.11 [[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
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.
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 (or 2.(5:7:11:13)) restriction, which is technically called '''Tridec'''; Ammonite[8] provides 5:11:13 and 5:7:13 chords.


== Interval chain ==
== Interval chain ==
Line 64: Line 64:
| 650.6
| 650.6
| 16/11
| 16/11
|-
| 13
| 1104.8
|
|}
|}
<nowiki/>* In pure-13/10 tuning
<nowiki/>* In pure-13/10 tuning


== Patent vals ==
:''Main article: [[Ammonite/Patent vals]]''
{{navbox regtemp}}
{{navbox regtemp}}
{{cat|temperaments}}
{{cat|temperaments}}

Latest revision as of 15:56, 7 April 2026

Ammonite, 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 (or 2.(5:7:11:13)) 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

* In pure-13/10 tuning

Patent vals

Main article: Ammonite/Patent vals


View • Talk • EditRegular temperaments
Rank-2
Acot Blackwood (1/5-octave) • Whitewood (1/7-octave) • Compton (1/12-octave)
Monocot Meantone • Schismic • Gentle-fifth temperaments • Archy
Complexity 2 Diaschismic (diploid monocot) • Pajara (diploid monocot) • Injera (diploid monocot) • Rastmatic (dicot) • Mohajira (dicot) • Intertridecimal (dicot) • Interseptimal (alpha-dicot)
Complexity 3 Augmented (triploid) • Misty (triploid) • Slendric (tricot) • Porcupine (omega-tricot)
Complexity 4 Diminished (tetraploid) • Tetracot (tetracot) • Buzzard (alpha-tetracot) • Squares (beta-tetracot) • Negri (omega-tetracot)
Complexity 5-6 Magic (alpha-pentacot) • Amity (gamma-pentacot) • Kleismic (alpha-hexacot) • Miracle (hexacot)
Higher complexity Orwell (alpha-heptacot) • Sensi (beta-heptacot) • Octacot (octacot) • Wurschmidt (beta-octacot) • Valentine (enneacot) • Ammonite (delta-enneacot) • Myna (beta-decacot) • Ennealimmal (enneaploid dicot)
Straddle-3 A-Team (alter-tricot) • Machine (alter-monocot)
No-3 Mabilic (alpha-triseph) • Orgone (trimech) • Didacus (diseph) • Sidewalk (epsilon-heptaseph)
No-octaves Sensamagic (monogem)
Exotemperaments Dicot • Mavila • Father
Higher-rank
Rank-3 Aberschismic • Marvel • Parapyth • Pentagoth
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