28edt

← 27edt

28edt

29edt →

Prime factorization	22 × 7
Step size	67.927¢
Octave	18\28edt (1222.69¢) (→9\14edt)
Consistency limit	2
Distinct consistency limit	2

28edt divides the third harmonic into 28 equal parts of 67.9 cents each. It is the simplest edt which intelligibly doubles the Anti-BP harmonic chain^{[clarification needed]}. One step is very close to every third step of 53edo. It tempers out the schisma in the 8.3.5 subgroup, albeit a really strange tuning due to being a multiple of 4edt and being index-2 in BP. It also supports deneb temperament in the 3.5.11 subgroup, equating 4 11/9s with 11/5.

Integer harmonics

Approximation of harmonics in 28edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	absolute (¢)	+22.7	+0.0	-22.6	-1.3	+22.7	+27.5	+0.1	+0.0	+21.4	-7.8	-22.6
	relative (%)	+33	+0	-33	-2	+33	+41	+0	+0	+31	-11	-33
Steps (reduced)		18 (18)	28 (0)	35 (7)	41 (13)	46 (18)	50 (22)	53 (25)	56 (0)	59 (3)	61 (5)	63 (7)

Intervals

Steps	cents	hekts	notation
1	67.927	46.429	Cq/D\\y
2	135.854	92.857	Cp/D\\
3	203.781	139.286	Cpq/Dy
4	271.708	185.714	D
5	339.635	232.143	Dp/Ey
6	407.562	278.571	E
7	475.489	325.000	Epq/F\\y
8	543.416	371.429	Ep/F\\
9	611.343	417.857	Eq/Fy
10	679.270	464.286	F
11	747.197	510.714	Fq/Gy
12	815.124	557.143	G
13	883.051	603.571	Gq/H\\y
14	950.978	650.000	Gp/H\\
15	1018.904	696.429	Gpq/Hy
16	1086.831	742.857	H
17	1154.758	789.286	Hq/Jy
18	1222.685	835.714	J
19	1290.612	882.143	Jq/A\\y
20	1358.539	928.571	Jp/A\\
21	1426.466	975.000	Jpq/Ay
22	1494.393	1021.429	A
23	1562.320	1067.857	Aq/B\\y
24	1630.247	1114.286	Ap/B\\
25	1698.174	1160.714	Apq/By
26	1766.101	1207.143	B
27	1834.028	1253.571	Bq/Cy
28	1901.955	1300.000	C

Music

• NonOctave Melancholic by Carlo Serafini (blog entry)