User:BudjarnLambeth/Lucky scale

A lucky scale^{[idiosyncratic term]} (ed777c) is an equal-step tuning in which the interval 777 cents is divided in a given number of equal steps.

Examples

7ed777c

Close to 11edo.

Harmonics

Approximation of harmonics in 7ed777c

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+21.0	-15.0	+42.0	-11.3	+6.0	-38.8	-48.0	-29.9	+9.7	-44.3	+27.0
	Relative (%)	+18.9	-13.5	+37.8	-10.2	+5.4	-35.0	-43.3	-27.0	+8.7	-39.9	+24.4
Steps (reduced)		11 (4)	17 (3)	22 (1)	25 (4)	28 (0)	30 (2)	32 (4)	34 (6)	36 (1)	37 (2)	39 (4)

Intervals

1. 111.
2. 222.
3. 333.
4. 444.
5. 555.
6. 666.
7. 777.
8. 888.
9. 999.
10. 1110.
11. 1221.
12. 1332.
13. 1443.
14. 1554.

9ed777c

Close to 14edo.

Harmonics

Approximation of harmonics in 9ed777c

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+8.7	-2.6	+17.3	-23.7	+6.0	-1.8	+26.0	-5.3	-15.0	-7.3	+14.7
	Relative (%)	+10.0	-3.0	+20.1	-27.4	+7.0	-2.1	+30.1	-6.1	-17.4	-8.5	+17.0
Steps (reduced)		14 (5)	22 (4)	28 (1)	32 (5)	36 (0)	39 (3)	42 (6)	44 (8)	46 (1)	48 (3)	50 (5)

Intervals

1. 86.333
2. 172.667
3. 259.
4. 345.333
5. 431.667
6. 518.
7. 604.333
8. 690.667
9. 777.
10. 863.333
11. 949.667
12. 1036.
13. 1122.333
14. 1208.667
15. 1295.
16. 1381.333
17. 1467.667
18. 1554.

11ed777c

Close to 17edo.

Harmonics

Approximation of harmonics in 9ed777c

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+0.8	+5.2	+1.6	-31.5	+6.0	+21.7	+2.4	+10.4	-30.7	+16.2	+6.8
	Relative (%)	+1.2	+7.4	+2.3	-44.6	+8.5	+30.7	+3.5	+14.8	-43.5	+23.0	+9.7
Steps (reduced)		17 (6)	27 (5)	34 (1)	39 (6)	44 (0)	48 (4)	51 (7)	54 (10)	56 (1)	59 (4)	61 (6)

Intervals

1. 70.636
2. 141.273
3. 211.909
4. 282.545
5. 353.182
6. 423.818
7. 494.455
8. 565.091
9. 635.727
10. 706.364
11. 777.
12. 847.636
13. 918.273
14. 988.909
15. 1059.545
16. 1130.182
17. 1200.818
18. 1271.455
19. 1342.091
20. 1412.727
21. 1483.364
22. 1554.