3d F scale

From Xenharmonic Wiki
Jump to navigation Jump to search
This page presents a novelty topic. It may contain ideas which are less likely to find practical applications in xenharmonic music, or numbers that are impractically large, exceedingly complex, or chosen arbitrarily.

Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

The 3d F scale, or 3-Dimensional F scale, is a 56-note 7-limit JI scale created by Fynn Cerulean. It is called the 3d F scale because its lattice makes the shape of an F in three dimensions.

65625/65536
2109375/2097152
525/512
16875/16384
546875/524288
8859375/8388608
4375/4096
140625/131072
35/32
1125/1024
18984375/16777216
9375/8192
75/64
4921875/4194304
78125/65536
39375/32768
1265625/1048576
625/512
5/4
328125/262144
2625/2048
21/16
44296875/33554432
21875/16384
703125/524288
175/128
5625/4096
2953125/2097152
46875/32768
23625/16384
375/256
3/2
6328125/4194304
3125/2048
25/16
1640625/1048576
26578125/16777216
13125/8192
421875/262144
105/64
3375/2048
109375/65536
875/512
7/4
14765625/8388608
234375/131072
118125/65536
3796875/2097152
1875/1024
15/8
984375/524288
15625/8192
7875/4096
125/64
132890625/67108864
2/1

The scale itself has no practical implications.