User:Moremajorthanmajor/14wtn: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
No edit summary
Line 5: Line 5:
|+
|+
!
!
!Target Minimum a
!Target a
!Target Maximum a
!Target b
!Target Minimum b
!Target Maximum b
|-
|-
!1
!1
! colspan="4" |100.2793
! colspan="2" |100.2793
|-
|-
!2
!2
! colspan="4" |200.5586
! colspan="2" |200.5586
|-
|-
!3
!3
! colspan="4" |300.8379
! colspan="2" |300.8379
|-
|-
!4
!4
! colspan="4" |401.1171
! colspan="2" |401.1171
|-
|-
!5
!5
! colspan="4" |501.3964
! colspan="2" |501.3964
|-
|-
!6
!6
! colspan="4" |601.6757
! colspan="2" |601.6757
|-
|-
!7
!7
! colspan="4" |701.955
! colspan="2" |701.955
|-
|-
!8
|8
! colspan="2" |801.564
|801.564
! colspan="2" |784.9625
|784.9625
|-
|-
!9
|9
! colspan="2" |901.173
|901.173
! colspan="2" |867.97
|867.97
|-
|-
!10
|10
! colspan="2" |1000.782
|1000.782
! colspan="2" |950.9775
|950.9775
|-
|-
!11
|11
! colspan="2" |1101.391
|1101.391
! colspan="2" |1033.985
|1033.985
|-
|-
!12
|12
! colspan="2" |1200
|1200
! colspan="2" |1116.9925
|1116.9925
|-
|-
|13
|13
|1285.714
|1299.609
|1314.2857
|1200
! colspan="2" |1200
|-
|-
|14
|14
|1371.429
|1398.218
|1428.5714
|1283.0075
|1285.714
|1314.2857
|}
|}

Revision as of 02:33, 1 June 2021

The best well-tempered divisions of nonets into 14 parts (14WTNs) are related to classical well temperaments, but with a nonet rather than the 2/1 being constant. The patent val has a generally sharp tendency for harmonics up to 21, with the exception for 11 and 13.

Optimal Intervals

Target a Target b
1 100.2793
2 200.5586
3 300.8379
4 401.1171
5 501.3964
6 601.6757
7 701.955
8 801.564 784.9625
9 901.173 867.97
10 1000.782 950.9775
11 1101.391 1033.985
12 1200 1116.9925
13 1299.609 1200
14 1398.218 1283.0075
Retrieved from "https://en.xen.wiki/index.php?title=User:Moremajorthanmajor/14wtn&oldid=71325"