Nicolic chords: Difference between revisions
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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 temperament]]s with nicolic chords include {{EDOs| 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. | |||
{| class="wikitable center-all" style="column-width:10em" | {| class="wikitable center-all" style="column-width:10em" | ||
! Ratio | ! Ratio | ||
! [[ | ! [[1/1]] || [[15/13]] || [[15/11]] || [[11/7]] | ||
|- | |- | ||
! [[Cent]]s | ! [[Cent]]s | ||
| Line 12: | Line 26: | ||
|} | |} | ||
[[Category:15-odd-limit]] | |||
[[Category:15-limit]] | |||
[[Category:Dyadic]] | [[Category:Dyadic]] | ||
[[Category: | [[Category:Triad]] | ||
[[Category:Tetrad]] | |||
[[Category:Nicolic]] | [[Category:Nicolic]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||
Revision as of 13:33, 13 January 2022
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,
and a pair in inverse relationship,
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 | |||