User:Moremajorthanmajor/14wtn: Difference between revisions
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| Line 7: | Line 7: | ||
!Minimum | !Minimum | ||
!Maximum | !Maximum | ||
![7\12 99.609¢] | |||
|- | |- | ||
!1 | !1 | ||
! colspan=" | ! colspan="3" |100.2793 | ||
|- | |- | ||
!2 | !2 | ||
! colspan=" | ! colspan="3" |200.5586 | ||
|- | |- | ||
!3 | !3 | ||
! colspan=" | ! colspan="3" |300.8379 | ||
|- | |- | ||
!4 | !4 | ||
! colspan=" | ! colspan="3" |401.1171 | ||
|- | |- | ||
!5 | !5 | ||
! colspan=" | ! colspan="3" |501.3964 | ||
|- | |- | ||
!6 | !6 | ||
! colspan=" | ! colspan="3" |601.6757 | ||
|- | |- | ||
!7 | !7 | ||
! colspan=" | ! colspan="3" |701.955 | ||
|- | |- | ||
|8 | |8 | ||
|797.955 | |797.955 | ||
|804.8121 | |804.8121 | ||
|801.564 | |||
|- | |- | ||
|9 | |9 | ||
|893.955 | |893.955 | ||
|907.6692 | |907.6692 | ||
|901.173 | |||
|- | |- | ||
|10 | |10 | ||
|989.955 | |989.955 | ||
|1010.5264 | |1010.5264 | ||
|1000.782 | |||
|- | |- | ||
|11 | |11 | ||
|1085.955 | |1085.955 | ||
|1113.3836 | |1113.3836 | ||
|1101.391 | |||
|- | |- | ||
|12 | |12 | ||
|1181.955 | |1181.955 | ||
|1216.2407 | |1216.2407 | ||
|1200 | |||
|- | |- | ||
|13 | |13 | ||
|1277.955 | |1277.955 | ||
|1319.0979 | |1319.0979 | ||
|1300.9775 | |||
|- | |- | ||
|14 | |14 | ||
|1373.955 | |1373.955 | ||
|1421.955 | |1421.955 | ||
|1401.955 | |||
|} | |} | ||
Revision as of 22:08, 31 May 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
| Minimum | Maximum | [7\12 99.609¢] | |
|---|---|---|---|
| 1 | 100.2793 | ||
| 2 | 200.5586 | ||
| 3 | 300.8379 | ||
| 4 | 401.1171 | ||
| 5 | 501.3964 | ||
| 6 | 601.6757 | ||
| 7 | 701.955 | ||
| 8 | 797.955 | 804.8121 | 801.564 |
| 9 | 893.955 | 907.6692 | 901.173 |
| 10 | 989.955 | 1010.5264 | 1000.782 |
| 11 | 1085.955 | 1113.3836 | 1101.391 |
| 12 | 1181.955 | 1216.2407 | 1200 |
| 13 | 1277.955 | 1319.0979 | 1300.9775 |
| 14 | 1373.955 | 1421.955 | 1401.955 |