Tuning for __Ghost Town__

The tuning for __Ghost Town__ is about as simple as just intonation gets: a regular, diatonic scale in E minor, but in septimal tuning, which means that intervals based on the number 7 are substituted for those usually based on five - that is, 7/6 for 6/5, 14/9 for 8/5, and 7/4 instead of 9/5. The only peculiarity is that there are two versions of A - 4/3 and 21/16 - so that one will be consonant with E 1/1, the other with D7 7/4.

Pitch: | E | F#+ | G7 | A7+ | A | B | C7 | D7 |
---|---|---|---|---|---|---|---|---|

Ratio: | 1/1 | 9/8 | 7/6 | 21/16 | 4/3 | 3/2 | 14/9 | 7/4 |

Cents: | 0 | 204 | 231 | 471 | 498 | 702 | 765 | 969 |

I have notated the scale in Ben Johnston's excellent microtonal notation, in which:

# raises a pitch by 25/24 (71 cents)

7 lowers a pitch by 35/36 to get a seventh harmonic (-49 cents)

and

F-A-C, C-E-G, and G-B-D are all perfectly tuned 4:5:6 major triads.

(If you don't have enough experience with just intonation to make sense of these charts, try reading the step-by-step Just Intonation Explained section.)

This scale accounts for all the tuning in __Ghost Town__ except for the sampled goose calls, which are tuned to a segment of Harry Partch's 43-tone scale from 1/1 up to 7/4.

Kyle Gann

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