Numerary Nexus

the number common to all identities in the ratios of one tonality -- the common anchor; the characteristic of a series of ratios that determines them as a tonality. In the 8/5 Otonality the Numerary Nexus is 5, as seen in the sequence of the six Odentities:

11/10 [= 11/5 in Partch's theory]
9/5
7/5
6/5
1/1 (= 5/5)
8/5

In the 5/4 Utonality the Numerary Nexus is also 5, as seen in the sequence of the six Udentities:

20/11 [= 5/11]
10/9 [= 5/9]
10/7 [= 5/7]
5/3
1/1 (= 5/5)
5/4

[from Partch 1974, Genesis of a Music, 2nd ed., Da Capo Press, New York, p. 75]

. . . . . . . . . . . . . . . . . . .

Kami Rousseau suggested the following:

How about a clearer example, like

5	6	7	8	9	10
5	5	5	5	5	5

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