13ed9/4

13ed9/4 is the equal division of 9/4 into 13 parts.

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13ed9/4

15ed9/4 →

Prime factorization	13 (prime)
Step size	107.993 ¢
Octave	11\13ed9/4 (1187.92 ¢) (semiconvergent)
Twelfth	18\13ed9/4 (1943.88 ¢)
Consistency limit	3
Distinct consistency limit	3

Scale tree

Ed9/4 scales can be approximated in EDOs by subdividing their approximations of 9/4.

Major ninth				Period	Notes
1/1				92.308	Soft Phrygian mode begins
	23\22			96.5035
22\21				96.703	Soft Phrygian mode ends, Thirdtone Phrygian mode begins
21\20				96.923
20\19				97.166
19\18				97.436
	37\35			97.582
18\17				97.738
17\16				98.077
16\15				98.4615	Thirdtone Phrygian mode ends
15\14				98.901	Semitone Phrygian mode begins
14\13				99.408
	27\25			99.692
13\12				100
12\11				100.699
11\10				101.5385	Semitone Phrygian mode ends, Intense Phrygian mode begins
	21\19			102.024
10\9				102.564	Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
	19\17			103.167
9\8				103.846	Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
	17\15			104.615
8\7				105.4945	Soft Aeolian mode ends, Flattone Aeolian mode begins
	15\13			106.509
		22\19		106.883	Flattone Aeolian mode ends, Meantone Aeolian mode begins
			29\25	107.077
7\6				107.692	Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
		20\17		108.597
	13\11			109.09	Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
		19\16		109.615
6\5				110.769	Ultrapyth Intense Aeolian mode ends