Nicolic chords

A nicolic chord is a 15-odd-limit essentially tempered dyadic chord which is tempered by 1575/1573, the nicola.

The nicolic triads include the following palindromic form,

• 1-15/11-13/7 with steps 15/11-15/11-14/13,

and a pair in inverse relationship,

• 1-15/11-11/7 with steps 15/11-15/13-14/11, and
• 1-15/11-26/15 with steps 15/11-14/11-15/13.

Any of these leads to a tetrad, in close position,

• 1-15/13-15/11-11/7, with steps of 15/13-13/11-15/13-14/11.

Equal temperaments with nicolic chords include 58, 72, 87, 103, 121, 130, 190, 217, 224, 311, 414, 441, 665 and 855.

Here is a listening sample. Although it is non-tempered, it may be regarded as close enough.

Ratio	1/1	15/13	15/11	11/7
Cents	0.00	247.74	536.95	782.49
Sound [info]	File:Nocolic tetrad.mp3