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The marvel woo tuning map is <1200.643223 1901.313567 2785.029055 3369.469129 4151.317943|.

## Math

Marvel woo is the marvel tuning with 10/3, 7/2 and 11 as eigenmonzos. This gives three monzos with eigenvalue 1, and two with eigenvalue 0, allowing us to construct a projection matrix whose columns (or rows if you prefer) are fractional monzos, which defines the tuning. This matrix is [|0 -4 4 4 4>, |-21 6 -6 15 8>, |7 -18 18 11 4>, |-28 -4 4 32 4>, |0 0 0 0 28>]/28. It leads to a tuning where the octave is sharp by |-7 -1 1 1 1>/7 = (385/384)^(1/7), about 0.643 cents. In this tuning, 9/5 and 12/7 are sharp by only |-49 -26 -2 19 12>/28 = (385/384)^(3/7)/(225/224)^(1/4), about 0.0018 cents. Putting 10/3, 7/2, 11 and 9/5 together with 2 leads to the full 11-limit. This means every interval in the 11-limit tonality diamond is either pure, ±0.0018 cents from pure, or a certain number of octaves away from an interval which is within 0.0018 cents of pure. Because of this, the beat ratios of everything in the 11-limit diamond are closely approximated by small integer ratios. For instance, for every eight beats of the octave in the chord 1-5/4-3/2-7/4-2, the approximate 5/4 beats approximately 20 times, 3/2 12 times, and 7/4 7 times; the actual numbers being 19.968, 11.977, 6.997 and 8 respectively..

## 7 notes

max7amarvwoo## 12 notes

genus1125marvwooduohexmarvwoo

bluesmarvwoo

dwarf12_11marvwoo

glummamarvwoo

tertiadie3marvwoo

sixtetwoo

## 14 notes

pum14marvwoo## 15 notes

pummelmarvwoodwarf15marvwoo

dekanymarvwoo

genus5625marvwoo

## 16 notes

stellarhexmarvwoo## 17 notes

diam7plusmarvwoodwarf17marvwoo

elf17marvwoo

diamond_chess11marvwoo

rectsp6amarvwoo

chalmers_17marvwoo

genus3375plusmarvwoo

## 18 notes

genus28125marvwoo## 19 notes

marvel19woo## 20 notes

genus16875marvwoo## 21 notes

dcon9marvwooblackwoo

## 22 notes

marvel22woomarvel22_11woo

## 24 notes

bimarveldenewoo## Music

The Mysteries of Motivation in diam7plusmarvwoo by Chris Vaisvil