Nicetone: Difference between revisions
ArrowHead294 (talk | contribs) m →Tunings |
ArrowHead294 (talk | contribs) m →Tunings |
||
| Line 195: | Line 195: | ||
| <math>\displaystyle \frac{1}{2} G_\text{1} < G_\text{2R} < 4 G_\text{1} - 2 \,\text{ for }\, \frac{4}{7} < G_\text{1} ≤ \frac{3}{5}</math> <br><math>\displaystyle \frac{1}{2} G_\text{1} < G_\text{2R} < 1 - G_\text{1} \,\text{ for }\,\frac{3}{5} ≤ G_\text{1} < \frac{2}{3}</math> | | <math>\displaystyle \frac{1}{2} G_\text{1} < G_\text{2R} < 4 G_\text{1} - 2 \,\text{ for }\, \frac{4}{7} < G_\text{1} ≤ \frac{3}{5}</math> <br><math>\displaystyle \frac{1}{2} G_\text{1} < G_\text{2R} < 1 - G_\text{1} \,\text{ for }\,\frac{3}{5} ≤ G_\text{1} < \frac{2}{3}</math> | ||
|- | |- | ||
! LH inner generator <br />({{nowrap|''G''<sub>2L</sub> {{=}} L + s}}) | ! LH inner generator<br />({{nowrap|''G''<sub>2L</sub> {{=}} L + s}}) | ||
| <math>\displaystyle 2 - 3 G_\text{1} < G_\text{2L} < \frac{1}{2} G_\text{1} \,\text{ for }\,\frac{4}{7} < G_\text{1} ≤ \frac{3}{5}</math> <br><math>\displaystyle 2 G_\text{1} - 1 < G_\text{2L} < \frac{1}{2} G_\text{1} \,\text{ for }\,\frac{3}{5} ≤ G_\text{1} < \frac{2}{3}</math> | | <math>\displaystyle 2 - 3 G_\text{1} < G_\text{2L} < \frac{1}{2} G_\text{1} \,\text{ for }\,\frac{4}{7} < G_\text{1} ≤ \frac{3}{5}</math> <br><math>\displaystyle 2 G_\text{1} - 1 < G_\text{2L} < \frac{1}{2} G_\text{1} \,\text{ for }\,\frac{3}{5} ≤ G_\text{1} < \frac{2}{3}</math> | ||
|- | |- | ||
! Large step <br />({{nowrap|L {{=}} 2''G''<sub>1</sub> − 1}}) | ! Large step<br />({{nowrap|L {{=}} 2''G''<sub>1</sub> − 1}}) | ||
| <math>\displaystyle \frac{1}{7} < L < \frac{1}{3}</math> | | <math>\displaystyle \frac{1}{7} < L < \frac{1}{3}</math> | ||
|- | |- | ||
! Middle step <br />({{nowrap|M {{=}} 1 − ''G''<sub>1</sub> − ''G''<sub>2L</sub>}}) | ! Middle step<br />({{nowrap|M {{=}} 1 − ''G''<sub>1</sub> − ''G''<sub>2L</sub>}}) | ||
| <math>\displaystyle \frac{1}{4} (1 - 3 L) < M < L \,\text{ for }\, \frac{1}{7} < L ≤ \frac{1}{5}</math> <br><math>\displaystyle \frac{1}{4} (1 - 3 L) < M < \frac{1}{2} (1 - 3 L) \,\text{ for }\, \frac{1}{5} ≤ L < \frac{1}{3}</math> | | <math>\displaystyle \frac{1}{4} (1 - 3 L) < M < L \,\text{ for }\, \frac{1}{7} < L ≤ \frac{1}{5}</math> <br><math>\displaystyle \frac{1}{4} (1 - 3 L) < M < \frac{1}{2} (1 - 3 L) \,\text{ for }\, \frac{1}{5} ≤ L < \frac{1}{3}</math> | ||
|- | |- | ||
! Small step <br />({{nowrap|s {{=}} 1 − ''G''<sub>1</sub> − ''G''<sub>2R</sub>}}) | ! Small step<br />({{nowrap|s {{=}} 1 − ''G''<sub>1</sub> − ''G''<sub>2R</sub>}}) | ||
| <math>\displaystyle \frac{1}{2} (1 - 5 L) < s < \frac{1}{4} (1 - 3 L) \,\text{ for }\, \frac{1}{7} < L ≤ \frac{1}{5}</math> <br><math>\displaystyle 0 < s < \frac{1}{4} (1 - 3 L) \,\text{ for }\, \frac{1}{5} ≤ L < \frac{1}{3}</math> | | <math>\displaystyle \frac{1}{2} (1 - 5 L) < s < \frac{1}{4} (1 - 3 L) \,\text{ for }\, \frac{1}{7} < L ≤ \frac{1}{5}</math> <br><math>\displaystyle 0 < s < \frac{1}{4} (1 - 3 L) \,\text{ for }\, \frac{1}{5} ≤ L < \frac{1}{3}</math> | ||
|} | |} | ||
| Line 211: | Line 211: | ||
|+ style="font-size: 105%;" | Common Nicetone tunings | |+ style="font-size: 105%;" | Common Nicetone tunings | ||
|- | |- | ||
! rowspan="2" | Tuning !! rowspan="2" | L:M:s !! colspan="3" | Size of step (¢) !! colspan="2" | Inner generator !! rowspan="2" | Outer generator <br />({{nowrap|2L + M + s}}) !! rowspan="2" | Comments | ! rowspan="2" | Tuning !! rowspan="2" | L:M:s !! colspan="3" | Size of step (¢) !! colspan="2" | Inner generator !! rowspan="2" | Outer generator<br />({{nowrap|2L + M + s}}) !! rowspan="2" | Comments | ||
|- | |- | ||
! L !! M !! s !! LH ({{nowrap|L + s}}) !! RH ({{nowrap|L + M}}) | ! L !! M !! s !! LH ({{nowrap|L + s}}) !! RH ({{nowrap|L + M}}) | ||