User:Moremajorthanmajor/14wtn: Difference between revisions
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| Line 5: | Line 5: | ||
|+ | |+ | ||
! | ! | ||
!Minimum | !Target Minimum a | ||
!Maximum | !Target Maximum a | ||
! | !Target Minimum b | ||
!Target Maximum b | |||
|- | |- | ||
!1 | !1 | ||
! colspan=" | ! colspan="4" |100.2793 | ||
|- | |- | ||
!2 | !2 | ||
! colspan=" | ! colspan="4" |200.5586 | ||
|- | |- | ||
!3 | !3 | ||
! colspan=" | ! colspan="4" |300.8379 | ||
|- | |- | ||
!4 | !4 | ||
! colspan=" | ! colspan="4" |401.1171 | ||
|- | |- | ||
!5 | !5 | ||
! colspan=" | ! colspan="4" |501.3964 | ||
|- | |- | ||
!6 | !6 | ||
! colspan=" | ! colspan="4" |601.6757 | ||
|- | |- | ||
!7 | !7 | ||
! colspan=" | ! colspan="4" |701.955 | ||
|- | |- | ||
!8 | |||
| | ! colspan="2" |801.564 | ||
! colspan="2" |784.9625 | |||
| | |||
|- | |- | ||
!9 | |||
| | ! colspan="2" |901.173 | ||
! colspan="2" |867.97 | |||
| | |||
|- | |- | ||
!10 | |||
| | ! colspan="2" |1000.782 | ||
! colspan="2" |950.9775 | |||
| | |||
|- | |- | ||
!11 | |||
| | ! colspan="2" |1101.391 | ||
! colspan="2" |1033.985 | |||
| | |||
|- | |- | ||
!12 | |||
| | ! colspan="2" |1200 | ||
| | ! colspan="2" |1116.9925 | ||
|- | |- | ||
|13 | |13 | ||
| | |1285.714 | ||
| | |1314.2857 | ||
| | ! colspan="2" |1200 | ||
|- | |- | ||
|14 | |14 | ||
| | |1371.429 | ||
| | |1428.5714 | ||
| | |1285.714 | ||
|1314.2857 | |||
|} | |} | ||
Revision as of 00:05, 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 Minimum a | Target Maximum a | Target Minimum b | Target Maximum 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 | 1285.714 | 1314.2857 | 1200 | |
| 14 | 1371.429 | 1428.5714 | 1285.714 | 1314.2857 |