448edo

← 447edo

448edo

449edo →

Prime factorization	26 × 7
Step size	2.67857 ¢
Fifth	262\448 (701.786 ¢) (→ 131\224)
Semitones (A1:m2)	42:34 (112.5 ¢ : 91.07 ¢)
Consistency limit	5
Distinct consistency limit	5

448 equal divisions of the octave (abbreviated 448edo or 448ed2), also called 448-tone equal temperament (448tet) or 448 equal temperament (448et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 448 equal parts of about 2.68 ¢ each. Each step represents a frequency ratio of 2^1/448, or the 448th root of 2.

Theory

448edo is contorted 224edo in the 13-limit, and is only consistent to the 5-odd-limit, but it gives a reasonable approximation of the 19-limit.

Prime harmonics

Approximation of prime harmonics in 448edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.00	-0.17	-0.60	+0.82	+0.47	+0.54	-0.49	-0.19	+1.19	-1.01	-1.29
	Relative (%)	+0.0	-6.3	-22.4	+30.5	+17.5	+20.3	-18.3	-7.2	+44.4	-37.5	-48.0
Steps (reduced)		448 (0)	710 (262)	1040 (144)	1258 (362)	1550 (206)	1658 (314)	1831 (39)	1903 (111)	2027 (235)	2176 (384)	2219 (427)

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