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

← Older edit Newer edit →

VisualWikitext

@@ Line 24: / Line 24: @@
 </pre>
-{| class="wikitable center-all left-all"
+{| class="wikitable center-all"
 |+ Sizes and occurrences of fifth and fourth
 ! colspan="4" | Fifth (7-step)
@@ Line 63: / Line 63: @@
 | <math>4/3</math>
 | 498.04500
+| +0.00000
+|}
+{| class="wikitable center-all left-4 left-8"
+|+ Sizes and occurrences of major third and minor third
+! colspan="4" | Major third (4-step)
+! colspan="4" | Minor third (3-step)
+|-
+! Occurrences
+! Ratio
+! Cents
+! Error <br>from 5/4
+! Occurrences
+! Ratio
+! Cents
+! Error <br>from 6/5
+|-
+| C–E <br> G–B
+| <math>5/4</math>
+| 386.31371
+| +0.00000
+| rowspan="2" | C–E♭ <br> C♯–E <br> G–B♭ <br> G♯–B
+| rowspan="2" | <math>32/27</math>
+| rowspan="2" | 294.13500
+| rowspan="2" | &minus;21.50629
+|-
+| D–F♯ <br> F–A
+| <math>\sqrt{(45/32)^{2}}</math>
+| 393.48248
+| +7.16876
+|-
+| A–C♯ <br> B♭–D
+| <math>\sqrt{32805/16384}</math>
+| 400.65124
+| +14.33753
+| rowspan="2" | E♭–G♭ <br> F–A♭ <br> B♭–D♭
+| rowspan="2" | <math>1215/1024</math>
+| rowspan="2" | 296.08872
+| rowspan="2" | &minus;19.55257
+|-
+| rowspan="3" | D♭–F <br> G♭–B♭ <br> A♭–C <br> B–D♯
+| rowspan="3" | <math>405/256</math>
+| rowspan="3" | 405.86628
+| rowspan="3" | +19.55257
+|-
+| D–F <br> F♯–A
+| <math>\sqrt{2048/1215}</math>
+| 301.30376
+| &minus;14.33753
+|-
+| rowspan="2" | A–C <br> B–D
+| rowspan="2" | <math>\sqrt{128/75}</math>
+| rowspan="2" | 308.47252
+| rowspan="2" | &minus;7.16876
+|-
+| rowspan="2" | E♭–G <br> E–G♯
+| rowspan="2" | <math>81/64</math>
+| rowspan="2" | 407.82000
+| rowspan="2" | +21.50629
+|-
+| E–G
+| <math>6/5</math>
+| 315.64129
 | +0.00000
 |}