Sequential TAKE 5 - Page 100

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Take 5 User’s Guide
Appendix F: Alternative Tunings
33. Chinese Lu scale by Huai Nan Zi, Han era. (P. Amiot 1780,
Kurt Reinhard)
60 = Cents 0. Ratio: 1/1 (JUST)
61 = Cents +98.954592 Ratio: 18/17 (JUST)
62 = Cents +203.910002 Ratio: 9/8 (JUST)
63 = Cents +315.641287 Ratio: 6/5 (JUST)
64 = Cents +394.347297 Ratio: 54/43 (JUST)
65 = Cents +498.044999 Ratio: 4/3 (JUST)
66 = Cents +608.351986 Ratio: 27/19 (JUST)
67 = Cents +701.955001 Ratio: 3/2 (JUST)
68 = Cents +800.909593 Ratio: 27/17 (JUST)
69 = Cents +905.865003 Ratio: 27/16 (JUST)
70 = Cents +1017.596288 Ratio: 9/5 (JUST)
71 = Cents +1106.396986 Ratio: 36/19 (JUST)
72 = Cents +1200. Ratio: 2/1 (JUST)
34. Colonna 1
Fabio Colonna lived in Naples, and published a treatise in 1618 called
“La Sambuca Lincea”, which included a description of the instrument by
that name which he built on commission from Scipione Stella, who had
had the opportunity in 1594 to examine Vincentino’s “Archicembalo” —
a 31-tone-per-octave (not equal-tempered) keyboard instrument.
60 = Cents 0. Ratio: 1/1 (JUST)
61 = Cents +70.672427 Ratio: 25/24 (JUST)
62 = Cents +182.403712 Ratio: 10/9 (JUST)
63 = Cents +287.359122 Ratio: 85/72 (JUST)
64 = Cents +386.313714 Ratio: 5/4 (JUST)
65 = Cents +498.044999 Ratio: 4/3 (JUST)
66 = Cents +568.717426 Ratio: 25/18 (JUST)
67 = Cents +701.955001 Ratio: 3/2 (JUST)
68 = Cents +733.721654 Ratio: 55/36 (JUST)
69 = Cents +884.358713 Ratio: 5/3 (JUST)
70 = Cents +989.314122 Ratio: 85/48 (JUST)
71 = Cents +1088.268715 Ratio: 15/8 (JUST)
72 = Cents +1200. Ratio: 2/1 (JUST)