17edt: Difference between revisions

BudjarnLambeth (talk | contribs)
BudjarnLambeth (talk | contribs)
m Complete table
Line 42: Line 42:
| | F
| | F
| | [[35/33]] (+10.0c); [[27/25]] (-21.4c); [[81/77]] (+24.2c); [[49/45]] (-35.5c)
| | [[35/33]] (+10.0c); [[27/25]] (-21.4c); [[81/77]] (+24.2c); [[49/45]] (-35.5c)
| | [[16/15]] (+0.2c)
| | [[16/15]] (+0.2c); [[15/14]] (-7.6c)
| | 111.9
| | 111.9
| | 76.5
| | 76.5
Line 49: Line 49:
| | K#
| | K#
| | Gb
| | Gb
| | [[17/15]] (+7.1c); [[63/55]] (-11.3c); [[25/22]]
| | [[25/22]] (+2.5c); [[17/15]] (+7.1c); [[63/55]] (-11.3c)
| |  
| |  
| | 223.8
| | 223.8
Line 58: Line 58:
| | F#
| | F#
| | [[11/9]] (-11.8c); [[21/17]] (-30.2c); [[25/21]] (+33.8c)
| | [[11/9]] (-11.8c); [[21/17]] (-30.2c); [[25/21]] (+33.8c)
| |  
| | [[17/14]] (-0.5c)
| | 335.6
| | 335.6
| | 229.4
| | 229.4
Line 98: Line 98:
| | Bb
| | Bb
| | [[5/3]] (+10.7c)
| | [[5/3]] (+10.7c)
| |  
| | [[27/16]] (-10.8c)
| | 895.1
| | 895.1
| | 611.8
| | 611.8
Line 106: Line 106:
| | A#
| | A#
| | [[9/5]] (-10.7c)
| | [[9/5]] (-10.7c)
| |  
| | [[25/14]] (+3.1c); [[16/9]] (+10.8c)
| | 1006.9
| | 1006.9
| | 688.2
| | 688.2
Line 162: Line 162:
| | D#
| | D#
| | [[99/35]] (-10.0c); [[25/9]] (+21.4c); [[77/27]] (-24.2c); [[135/49]] (+35.5c)
| | [[99/35]] (-10.0c); [[25/9]] (+21.4c); [[77/27]] (-24.2c); [[135/49]] (+35.5c)
| |  
| | [[45/16]] (-0.1c); [[14/5]] (+7.6c)
| | 1790.1
| | 1790.1
| | 1223.5
| | 1223.5
Line 175: Line 175:
|}
|}


It's a weird coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).
It's a strange coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).
 
{{todo|inline=1|complete table|text=Complete the +14&16 subgroup column, add missing intervals.}}


== Regular temperament ==
== Regular temperament ==