Marvel

From Xenharmonic Wiki
Jump to navigation Jump to search

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

Lattice Marvel.png

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.

Marvel nomenclature for selected intervals
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

Other marvel scales

Tuning spectrum

This spectrum assumes pure 2 and 7.

eigenmonzo
(unchanged interval
)
fifth
(¢)
major
third (¢)
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

Music