A day divided by phi, phi^2, etc. Not sure what higher powers of phi might be useful for.
Also consider dividing the sidereal rotation period, not the 24-hour solar day.
0 = 24h 0m 0.000s1 = 14h 49m 58.137s
2 = 9h 10m 1.863s
3 = 5h 39m 56.273s
4 = 3h 30m 5.590s
5 = 2h 9m 50.683s
6 = 1h 20m 14.907s
7 = 0h 49m 35.776s
8 = 0h 30m 39.131s
9 = 0h 18m 56.645s
10 = 0h 11m 42.485s
11 = 0h 7m 14.160s
12 = 0h 4m 28.326s
13 = 0h 2m 45.834s
14 = 0h 1m 42.491s
15 = 0h 1m 3.343s
16 = 0h 0m 39.148s
17 = 0h 0m 24.195s
18 = 0h 0m 14.953s
19 = 0h 0m 9.242s
20 = 0h 0m 5.712s
21 = 0h 0m 3.530s
22 = 0h 0m 2.182s
23 = 0h 0m 1.348s
24 = 0h 0m 0.833s
25 = 0h 0m 0.515s
26 = 0h 0m 0.318s
27 = 0h 0m 0.197s
28 = 0h 0m 0.122s
24 = 1.200 Hz
25 = 1.942 Hz
26 = 3.142 Hz
27 = 5.083 Hz
28 = 8.225 Hz
29 = 13.308 Hz
30 = 21.534 Hz
31 = 34.842 Hz
32 = 56.376 Hz
33 = 91.218 Hz
34 = 147.593 Hz
35 = 238.811 Hz
36 = 386.404 Hz
37 = 625.214 Hz
38 = 1.012 kHz
39 = 1.637 kHz
40 = 2.648 kHz
41 = 4.285 kHz
42 = 6.934 kHz
43 = 11.219 kHz
44 = 18.153 kHz
45 = 29.372 kHz
46 = 47.525 kHz
47 = 76.896 kHz
48 = 124.421 kHz
49 = 201.317 kHz
50 = 325.738 kHz
51 = 527.055 kHz
52 = 852.793 kHz
53 = 1.380 MHz
54 = 2.233 MHz
55 = 3.612 MHz
56 = 5.845 MHz
57 = 9.458 MHz
58 = 15.303 MHz
59 = 24.760 MHz
60 = 40.063 MHz
61 = 64.823 MHz
62 = 104.887 MHz
63 = 169.710 MHz
64 = 274.597 MHz
65 = 444.307 MHz
66 = 718.903 MHz
67 = 1.163 GHz
68 = 1.882 GHz
69 = 3.045 GHz
70 = 4.927 GHz
71 = 7.973 GHz
72 = 12.900 GHz
73 = 20.873 GHz
74 = 33.773 GHz
75 = 54.646 GHz
76 = 88.419 GHz
77 = 143.065 GHz
78 = 231.485 GHz
79 = 374.550 GHz
80 = 606.035 GHz
81 = 980.585 GHz
82 = 1586.619 GHz
83 = 2567.204 GHz
84 = 4153.823 GHz
85 = 6721.028 GHz
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