User:Xenllium/Xenllium's circulating scales: Difference between revisions

Xenllium (talk | contribs)
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Xenllium (talk | contribs)
fixed typo (cube-root rather than square-root in ratio)
Line 21: Line 21:
  1010.42752466704
  1010.42752466704
  1102.60624112803
  1102.60624112803
  1200.
  1200.00000000000
</pre>
</pre>


Line 39: Line 39:
|-
|-
| D–A <br> G–D <br> A–E
| D–A <br> G–D <br> A–E
| <math>\sqrt{10/3}</math>
| <math>\sqrt[3]{10/3}</math>
| 694.78624
| 694.78624
| &minus;7.16876
| &minus;7.16876
| D–G <br> E–A <br> A–D
| D–G <br> E–A <br> A–D
| <math>\sqrt{12/5}</math>
| <math>\sqrt[3]{12/5}</math>
| 505.21376
| 505.21376
| +7.16876
| +7.16876
Line 90: Line 90:
|-
|-
| D–F♯ <br> F–A
| D–F♯ <br> F–A
| <math>\sqrt{(45/32)^{2}}</math>
| <math>\sqrt[3]{(45/32)^{2}}</math>
| 393.48248
| 393.48248
| +7.16876
| +7.16876
|-
|-
| A–C♯ <br> B♭–D
| A–C♯ <br> B♭–D
| <math>\sqrt{32805/16384}</math>
| <math>\sqrt[3]{32805/16384}</math>
| 400.65124
| 400.65124
| +14.33753
| +14.33753
Line 104: Line 104:
|-
|-
| rowspan="3" | D♭–F <br> G♭–B♭ <br> A♭–C <br> B–D♯
| rowspan="3" | D♭–F <br> G♭–B♭ <br> A♭–C <br> B–D♯
| rowspan="3" | <math>405/256</math>
| rowspan="3" | <math>512/405</math>
| rowspan="3" | 405.86628
| rowspan="3" | 405.86628
| rowspan="3" | +19.55257
| rowspan="3" | +19.55257
|-
|-
| D–F <br> F♯–A
| D–F <br> F♯–A
| <math>\sqrt{2048/1215}</math>
| <math>\sqrt[3]{2048/1215}</math>
| 301.30376
| 301.30376
| &minus;14.33753
| &minus;14.33753
|-
|-
| rowspan="2" | A–C <br> B–D
| rowspan="2" | A–C <br> B–D
| rowspan="2" | <math>\sqrt{128/75}</math>
| rowspan="2" | <math>\sqrt[3]{128/75}</math>
| rowspan="2" | 308.47252
| rowspan="2" | 308.47252
| rowspan="2" | &minus;7.16876
| rowspan="2" | &minus;7.16876