Marvel: Difference between revisions
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→Notation: expansion |
m make subsections of scales more accessible (via links), remove "See:" since obvious and not used elsewhere |
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== Chords == | == Chords == | ||
* [[Marvel chords]] | * [[Marvel chords]] | ||
* [[Undecimal marvel chords]] | * [[Undecimal marvel chords]] | ||
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== Scales == | == Scales == | ||
=== Marvel hobbit scales === | |||
* [[Marvel9]] | * [[Marvel9]] | ||
* [[Marvel10]] | * [[Marvel10]] | ||
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* [[Marvel22]] | * [[Marvel22]] | ||
=== Undecimal marvel hobbit scales === | |||
* [[Marvel22 11]] | * [[Marvel22 11]] | ||
* [[Unimarv19]] | * [[Unimarv19]] | ||
* [[Unimarv22]] | * [[Unimarv22]] | ||
=== Others marvel scales === | |||
* [[Pump12 1]] | * [[Pump12 1]] | ||
* [[Pump12 2]] | * [[Pump12 2]] | ||
Revision as of 09:39, 1 June 2021
The marvel temperament is the rank-3 temperament tempering out 225/224, the marvel comma. It has a canonical 11-limit extension adding 385/384 and 540/539 to the comma list.
See Marvel family #Marvel for technical data.
Interval lattice
Notation
Marvel can be notated the same as 5-limit just intonation since they share the same lattice structure.
One way to do this is to take the conventional circle-of-fifths notation with an additional module of accidentals for the 81/80 comma. In this system, 5/4 is a major third, 7/4 an augmented sixth, and 11/8 a double diminished 5th.
| Ratio | Nominal | Example |
|---|---|---|
| 3/2 | Perfect 5th | C-G |
| 5/4 | Down major 3rd | C-vE |
| 7/4 | Double down augmented 6th | C-vvA# |
| 11/8 | Triple up double diminished 5th | C-^3Gbb |
Chords
Scales
Marvel hobbit scales
Undecimal marvel hobbit scales
Others marvel scales
Spectrum of marvel tunings by eigenmonzos
This spectrum assumes pure 2 and 7.
| Eigenmonzo | 3/2 | 5/4 | Comments |
|---|---|---|---|
| 5/4 | 698.099 | 386.314 | |
| 6/5 | 700.027 | 384.386 | 7-odd-limit minimax |
| 15/11 | 700.351 | 384.062 | |
| 10/9 | 700.670 | 383.743 | 9-odd-limit minimax |
| 11/10 | 700.885 | 383.528 | |
| 15/13 | 700.916 | 383.497 | 15-odd-limit hecate minimax |
| 13/10 | 701.065 | 383.348 | 13-odd-limit hecate minimax |
| 13/11 | 701.199 | 383.214 | |
| 18/13 | 701.361 | 383.052 | |
| 13/12 | 701.480 | 382.933 | |
| 16/13 | 701.559 | 382.854 | |
| 4/3 | 701.955 | 382.458 | |
| 14/11 | 702.278 | 382.135 | |
| 11/8 | 702.278 | 382.135 | |
| 12/11 | 702.602 | 381.811 |