Missing Illustration - 5. Music, Temperament, and Social Concord

Copy UUID Return to the Host Page See All Queries See General Queries

Missing Illustration

Quoted text:

Ancient harmonic theorists represented this by the following “fork”: 1, 3, 9 on the left, and 2, 4, 8, 16, etc., on the right.

[Omitted text: [Reproduce Illustration 5.]]

Suppose we try to tune the scale by thirds, e.g., C, E, G♯, C. We are back at the tonic. Yet here again we encounter the same problem: The third is 5/4. And (5/4)2 is 25/16. We thus are dealing once again with powers of 5 (odd number) divided by sequences of even-numbered powers of 2. We soon encounter another type of comma.

Originally here the author had a note to insert an image here, but we’re not sure which image. Can you help us figure out which might have been meant? Perhaps Plutarch’s diagram mentioned in this query, or a scale illustration mentioned in this query, both of which we ask about a little earlier in this chapter body? His original note was: “[Reproduce Illustration 5.]” and we don’t know if there was a numeral after the period after 5 or not, but we don’t know what Illustration 5.1 would have been based on our two aforementioned queries.

Any image suggested for inclusion in The Creation of Order must be licensed under Creative Commons 4.0 or in the public domain if it is to be embedded in the chapter. If it is not CC4.0 or PD, please suggest a link to somewhere externally readers might find the correct image. Please include a source link and attribution information for any image suggestion (Wikimedia Commons links are preferred if available).

Suggest an image for this query. Join the research!

Reply