User:MisterShafXen/Harmonics in all ETs: Difference between revisions

Revision as of 11:59, 24 May 2026

Approximation of harmonics in 45ed7
Harmonic		2	3	4	5	6	7	8	9	10
Error	Absolute (¢)	-2.2	-30.4	-4.4	-16.4	-32.6	+0.0	-6.6	+14.1	-18.6
Error	Relative (%)	-2.9	-40.6	-5.9	-21.9	-43.5	+0.0	-8.8	+18.8	-24.8
Steps (reduced)		16 (16)	25 (25)	32 (32)	37 (37)	41 (41)	45 (0)	48 (3)	51 (6)	53 (8)

Inconsistencies: n/a

Approximation of harmonics in 45ed7
Harmonic		11	12	13	14	15	16	17	18	19
Error	Absolute (¢)	-33.9	-34.8	-23.6	-2.2	+28.1	-8.8	+36.0	+11.9	-6.8
Error	Relative (%)	-45.2	-46.5	-31.6	-2.9	+37.5	-11.7	+48.1	+15.9	-9.1
Steps (reduced)		55 (10)	57 (12)	59 (14)	61 (16)	63 (18)	64 (19)	66 (21)	67 (22)	68 (23)

Inconsistencies: 15/11, 15/13, 17/11, 17/12, 17/13, 17/14, 17/16, 18/11, 19/17

Approximation of harmonics in 45ed7
Harmonic		20	21	22	23	24	25	26	27	28
Error	Absolute (¢)	-20.8	-30.4	-36.1	+36.7	-37.0	-32.8	-25.8	-16.3	-4.4
Error	Relative (%)	-27.8	-40.6	-48.2	+49.0	-49.4	-43.8	-34.5	-21.8	-5.9
Steps (reduced)		69 (24)	70 (25)	71 (26)	73 (28)	73 (28)	74 (29)	75 (30)	76 (31)	77 (32)

Inconsistencies: 23/20, 23/21, 23/22, 24/23, 25/21, 25/22, 25/23, 26/23, 27/23, 28/23

@@ Line 1: / Line 1: @@
-==ED3/2s==
-===10ed3/2===
-{{Harmonics in equal|steps=10|num=3|denom=2|columns=75}}
-== EDOs ==
-=== 10edo ===
-{{Harmonics in equal|steps=10|intervals=odd|columns=38}}
-== ED4s ==
-=== 11ed4 ===
-{{Harmonics in equal|num=4|steps=11|columns=69}}
 == ED7s ==
-=== 22ed7 ===
+=== 45ed7 ===
-{{Harmonics in equal|num=7|steps=22|columns=63}}
+{{Harmonics in equal|num=7|steps=45|columns=9}}
+Inconsistencies: n/a
-== ED10s ==
+{{Harmonics in equal|num=7|steps=45|columns=9|start=10}}
-=== 22ed10 ===
+Inconsistencies: 15/11, 15/13, 17/11, 17/12, 17/13, 17/14, 17/16, 18/11, 19/17
-{{Harmonics in equal|num=10|steps=22|columns=75}}
+{{Harmonics in equal|num=7|steps=45|start=19|columns=9}}
+Inconsistencies: 23/20, 23/21, 23/22, 24/23, 25/21, 25/22, 25/23, 26/23, 27/23, 28/23