3388/3375

Interval information

Ratio	3388/3375
Factorization	22 × 3-3 × 5-3 × 7 × 112
Monzo	[2 -3 -3 1 2⟩
Size in cents	6.655647¢
Name	myhemiwell comma
Color name	1oozg32, lolozotrigu second
FJS name	[math]\displaystyle{ \text{dd2}^{7,11,11}_{5,5,5} }[/math]
Special properties	reduced
Tenney height (log2 nd)	23.4469
Weil height (log2 max(n, d))	23.4524
Wilson height (sopfr(nd))	57
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.60318 bits
Comma size	small
Open this interval in xen-calc

The myhemiwell comma, 3388/3375, is a small 11-limit comma equal to the amount by which a stack consisting of three 15/11s and one 11/7 fall short of two octaves. By tempering it out is defined the myhemiwell temperament, which enables the myhemiwell chords.

Temperament

Tempering out this comma results in the rank-4 myhemiwell temperament.

Mapping: [(1 0 0 0 -1] (0 1 0 1 1] (0 0 1 1 1] (0 0 0 2 -1])

TE tuning map: ~2=1199.898, ~3=1902.338, ~5=2787.136, ~7=3368.425, ~11=4150.101