Marvel

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.

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

• Marvel chords
• Undecimal marvel chords
• Hecate hexad
• Prodigy chords

Scales

Marvel hobbit scales

• Marvel9
• Marvel10
• Marvel11
• Marvel12
• Marvel19
• Marvel22

Undecimal marvel hobbit scales

• Marvel22 11
• Unimarv19
• Unimarv22

Other marvel scales

• Pump12 1
• Pump12 2
• Pump13
• Pump14
• Pump15
• Pump16
• Pump17
• Pump18

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

Music

• Semimarvelous Blue Drawf by Chris Vaisvil
• notJoelTaylorsTreeSpirit-Marvel10-2 by Billy Stiltner