9edf

← 8edf

9edf

10edf →

Prime factorization	32
Step size	77.995¢
Octave	15\9edf (1169.93¢) (→5\3edf)
Twelfth	24\9edf (1871.88¢) (→8\3edf)
Consistency limit	2
Distinct consistency limit	2

9edf is the equal division of the just perfect fifth into 9 parts of 78 cents each, corresponding to 15.391524edo. It is nearly identical to Carlos Alpha.

Approximation of harmonics

Approximation of harmonics in 9edf

Harmonic		2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19
Error	Absolute (¢)	-30.1	-30.1	+17.8	+21.5	+17.8	-15.0	-12.2	+17.8	-8.6	-17.6	-12.2	+5.2	+32.9	-8.6	+35.7	+8.7	-12.2	-27.8
	Relative (%)	-38.6	-38.6	+22.9	+27.6	+22.9	-19.3	-15.7	+22.9	-11.0	-22.5	-15.7	+6.7	+42.2	-11.0	+45.8	+11.2	-15.7	-35.7
Steps (reduced)		15 (6)	24 (6)	31 (4)	36 (0)	40 (4)	43 (7)	46 (1)	49 (4)	51 (6)	53 (8)	55 (1)	57 (3)	59 (5)	60 (6)	62 (8)	63 (0)	64 (1)	65 (2)

Intervals

#	Cents	Approximate ratios	Neptunian notation using 7\9edf
0	0.0	1/1	C
1	78.0	25/24, 21/20	C#
2	156.0	12/11, 11/10	Db
3	234.0	8/7	D
4	312.0	6/5	D#, Eb
5	390.0	5/4	E
6	468.0	21/16	E#, Fb
7	546.0	15/11, 11/8	F
8	624.0	10/7, 36/25	F#, Cb
9	702.0	3/2	C

Scales within 9edf

Livewire (this is the original/default tuning)

• 77.995
• 701.955
• 779.950
• 1403.905
• 1481.905
• 2105.865
• 2183.860
• 2807.820
• 2885.815
• 3509.775
• 3587.770

Corrugated (this is the original/default tuning)

• 155.990
• 701.955
• 857.945
• 1403.910
• 1559.900
• 2105.865
• 2261.855
• 2807.820
• 2963.810
• 3509.775
• 3665.765
• 4211.730
• 4367.720
• 4913.685
• 5069.675
• 5615.640
• 5771.630
• 6317.595
• 6473.585
• 7019.550
• 7175.540
• 7721.505
• 7877.495
• 8423.460

Snowcone (this is the original/default tuning)

• 233.985
• 701.955
• 935.940
• 1403.910
• 1637.895
• 2105.865
• 2339.850
• 2807.820
• 3041.805
• 3509.775
• 3743.760
• 4211.730
• 4445.715
• 4913.685
• 5147.670
• 5615.640
• 5849.625
• 6317.595
• 6551.580
• 7019.550
• 7253.535
• 7721.505
• 7955.490
• 8423.460

Swan (this is the original/default tuning)

• 311.980
• 701.955
• 1013.935
• 1403.910
• 1715.890
• 2105.865
• 2417.845

Cloudscape (this is the original/default tuning)

• 389.975
• 701.955
• 1091.930
• 1403.910
• 1793.885
• 2105.865
• 2495.840
• 2807.820
• 3197.795
• 3509.775
• 3899.750
• 4211.730
• 4601.705
• 4913.685
• 5303.660
• 5615.640
• 6005.615

Pylon (this is the original/default tuning)

• 467.970
• 701.955
• 1169.925
• 1403.910
• 1871.880
• 2105.865
• 2573.835
• 2807.820
• 3275.790
• 3509.775
• 3977.745
• 4211.730
• 4679.700
• 4913.685
• 5381.655
• 5615.640
• 6083.610
• 6317.595
• 6785.565
• 7019.550
• 7487.520
• 7721.505
• 8189.475
• 8423.460

Quest (this is the original/default tuning)

• 545.965
• 701.955
• 1247.920
• 1403.910
• 1949.875
• 2105.865
• 2651.830
• 2807.820
• 3353.785
• 3509.775
• 4055.740
• 4211.730
• 4757.695
• 4913.685
• 5459.650
• 5615.640
• 6161.605
• 6317.595
• 6863.560
• 7019.550
• 7565.515
• 7721.505
• 8267.470
• 8423.460

Purgatory (this is the original/default tuning)

• 623.960
• 701.955
• 1325.915
• 1403.910
• 2027.870
• 2105.865
• 2729.825
• 2807.820
• 3431.780
• 3509.775
• 4133.735
• 4211.730
• 4835.690

Molten Pelog (this is the original/default tuning)

• 155.990
• 311.980
• 701.955
• 857.945
• 1247.920

Molten Slendro (exact tuning from 3edf)

• 233.985
• 467.970
• 701.955
• 935.940
• 1169.925

Music

• ’HUH?’ by Mandrake (2022): https://m.youtube.com/watch?v=J5gntG5LrOk