30ed7/3
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Prime factorization
2 × 3 × 5
Step size
48.8957¢
Octave
25\30ed7/3 (1222.39¢) (→5\6ed7/3)
Twelfth
39\30ed7/3 (1906.93¢) (→13\10ed7/3)
Consistency limit
3
Distinct consistency limit
3
 |
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| ← 29ed7/3 | 30ed7/3 | 31ed7/3 → |
30 equal divisions of 7/3 (abbreviated 30ed7/3) is a nonoctave tuning system that divides the interval of 7/3 into 30 equal parts of about 48.9 ¢ each. Each step represents a frequency ratio of (7/3)1/30, or the 30th root of 7/3.
Intervals
| Degrees | Enneatonic | ed11\9~ed7/3 | ||
|---|---|---|---|---|
| 1 | G+/Jbd | G+/Abd | 48.8 | 48.8957 |
| 2 | G#/Jb | G#/Ab | 97.7 | 97.7914 |
| 3 | G#+/Jd | G#+/Ad | 146.6 | 146.6871 |
| 4 | J | A | 195.5 | 195.5828 |
| 5 | J+/Abd | A+/Bbd | 244.4 | 244.4785 |
| 6 | J#/Ab | A#/Bb | 293.3 | 293.3742 |
| 7 | J#+/Ad | A#+/Bd | 342.2 | 342.2699 |
| 8 | A | B | 391.1 | 391.1656 |
| 9 | A+/Bd | B+/Cd | 440 | 440.0613 |
| 10 | B | C | 488.8 | 488.957 |
| 11 | B+/Cbd | C+/Qbd | 537.7 | 537.8527 |
| 12 | B#/Cb | C#/Qb | 586.6 | 586.7484 |
| 13 | B#+/Cd | C#+/Qd | 635.5 | 635.6441 |
| 14 | C | Q | 684.4 | 684.5398 |
| 15 | C+/Qbd | Q+/Dbd | 733.3 | 733.43545 |
| 16 | C#/Qb | Q#/Db | 782.2 | 782.33115 |
| 17 | C#+/Qd | Q#+/Dd | 831.1 | 831.22685 |
| 18 | Q | D | 880 | 880.1225 |
| 19 | Q+/Dd | D+/Sd | 928.8 | 929.0182 |
| 20 | D | S | 977.7 | 977.9139 |
| 21 | D+ | S+ | 1026.6 | 1026.8096 |
| Ebd | ||||
| 22 | D# | S# | 1075.5 | 1075.7053 |
| Eb | ||||
| 23 | D#+ | S#+ | 1124.4 | 1124.601 |
| Ed | ||||
| 24 | E | 1173.3 | 1173.4967 | |
| 25 | E+/Fbd | 1222.2 | 1222.3924 | |
| 26 | E#/Fb | 1271.1 | 1271.2881 | |
| 27 | E#+/Fd | 1320 | 1320.1838 | |
| 28 | F | 1368.8 | 1369.0795 | |
| 29 | F+/Gd | 1417.7 | 1417.9725 | |
| 30 | G | 1466.6 | 1466.8709 | |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +22.4 | +5.0 | -4.1 | +0.7 | -21.5 | +5.0 | +18.3 | +10.0 | +23.1 | +4.8 | +0.9 |
| Relative (%) | +45.8 | +10.2 | -8.4 | +1.5 | -44.0 | +10.2 | +37.4 | +20.4 | +47.3 | +9.9 | +1.8 | |
| Steps (reduced) |
25 (25) |
39 (9) |
49 (19) |
57 (27) |
63 (3) |
69 (9) |
74 (14) |
78 (18) |
82 (22) |
85 (25) |
88 (28) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +9.0 | -21.5 | +5.7 | -8.2 | -15.4 | -16.5 | -12.4 | -3.4 | +10.0 | -21.7 | -0.9 |
| Relative (%) | +18.4 | -44.0 | +11.7 | -16.8 | -31.5 | -33.8 | -25.3 | -6.9 | +20.4 | -44.4 | -1.7 | |
| Steps (reduced) |
91 (1) |
93 (3) |
96 (6) |
98 (8) |
100 (10) |
102 (12) |
104 (14) |
106 (16) |
108 (18) |
109 (19) |
111 (21) | |