Xenharmonic Wiki

Template:Infobox ET: Difference between revisions

← Older editNewer edit →
VisualWikitext
Deprecate monotonicity
+sharp fifth, +flat fifth, -monotonicity
Line 25: Line 25:
   {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Fifth
   {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Fifth
   {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Fifth|{{{Fifth type|{{{P5|}}}}}}}}}'''
   {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Fifth|{{{Fifth type|{{{P5|}}}}}}}}}'''
}}
|-
{{#if: {{{Semitones|}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Semitones (A1:m2)
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Semitones|}}}'''
}}
|-
{{#if: {{{Sharp fifth|{{{Sharp P5|}}}}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Sharp fifth
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Sharp fifth|{{{Sharp P5|}}}}}}'''
}}
|-
{{#if: {{{Flat fifth|{{{Flat P5|}}}}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Flat fifth
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Flat fifth|{{{Flat P5|}}}}}}'''
}}
}}
|-
|-
Line 35: Line 50:
   {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Minor 2nd
   {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Minor 2nd
   {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Minor 2nd|{{{m2|}}}}}}'''
   {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Minor 2nd|{{{m2|}}}}}}'''
}}
|-
{{#if: {{{Semitones|}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Semitones (A1:m2)
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Semitones|}}}'''
}}
}}
|-
|-
Line 50: Line 60:
   {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Consistency limit
   {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Consistency limit
   {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Consistency|{{{Diamond consistency|}}}}}}'''
   {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Consistency|{{{Diamond consistency|}}}}}}'''
}}
|-
{{#if: {{{Monotonicity|{{{Diamond monotonicity|}}}}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Monotonicity limit
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Monotonicity|{{{Diamond monotonicity|}}}}}}'''
}}
}}
|}
|}
Line 71: Line 76:
|-
|-
| Step size
| Step size
| One step (1200/edo) of the equal temperament in cents (5 digits).
| One step (1200/edo) of the equal temperament in cents (6 significant digits).
|-
|-
| Fifth
| Fifth
| (<s>Fifth type</s>) The best approximation of 3/2, the perfect fifth (P5), in edosteps and in cents. (<code>P5 := round(log2(3/2)*edo)</code>)
| The closest approximation of 3/2, the perfect fifth (P5), in edosteps and in cents. (<code>P5 := round(log2(3/2)*edo)</code>)
|-
| Semitones
| Size of the augmented unison (A1) and minor second (m2) in edosteps and cents as generated by the fifth. <br>The A1 is the [[sharpness]] of the edo.
|-
| Sharp fifth
| For dual-fifths edos (fifth error > 1/3 edostep), the closest sharp approximation of 3/2, in edosteps and in cents.
|-
| Flat fifth
| For dual-fifths edos (fifth error > 1/3 edostep), the closest flat approximation of 3/2, in edosteps and in cents.
|-
|-
| Major 2nd
| Major 2nd
| Size of the major second (M2) in edosteps and cents as generated by the fifth. (<code>M2 := 2*P5 - P8</code>)
| For dual-fifths edos (fifth error > 1/3 edostep), size of the major second (M2) in edosteps and cents as generated by the sharp fifth and the flat fifth.  
|-
|-
| <s>Minor 2nd</s>
| <s>Minor 2nd</s>
Line 84: Line 98:
| <s>Augmented 1sn</s>
| <s>Augmented 1sn</s>
| <s>Size of the augmented unison (A1) in edosteps and cents as generated by the fifth. This is also the sharpness/flatness of the edo. (<code>A1 := M2 - m2</code>)</s>  
| <s>Size of the augmented unison (A1) in edosteps and cents as generated by the fifth. This is also the sharpness/flatness of the edo. (<code>A1 := M2 - m2</code>)</s>  
|-
| Semitones
| Size of the augmented unison (A1) and minor second (m2) in edosteps and cents as generated by the fifth.
|-
|-
| Consistency
| Consistency
| The odd limit diamond to which the edo is consistent.  
| The odd limit diamond to which the edo is consistent.  
|-
| <s>Monotonicity</s>
| <s>The odd limit diamond to which the edo is monotone.</s>
|}
|}


Line 98: Line 106:
  <nowiki>{{Infobox ET
  <nowiki>{{Infobox ET
| Prime factorization = 2<sup>3</sup> × 3
| Prime factorization = 2<sup>3</sup> × 3
| Step size = 50¢
| Step size = 50.0000¢
| Fifth = 14\24 (700¢)
| Fifth = 14\24 (700.0¢) (→ [[12edo|7\12]])
| Major 2nd = 4\24 (200¢)
| Semitones = 2:2 (100.0¢ : 100.0¢)
| Semitones = 2:2 (100¢:100¢)
| Consistency = 5
| Consistency = 5
}}</nowiki>
}}</nowiki>
Line 112: Line 119:
| Step size = {{subst:#number_format:{{subst:#expr:1200/{{subst:#regex:{{subst:PAGENAME}}|/(\d+)-?EDO/i|\1}}}}|5}}
| Step size = {{subst:#number_format:{{subst:#expr:1200/{{subst:#regex:{{subst:PAGENAME}}|/(\d+)-?EDO/i|\1}}}}|5}}
| Fifth =  
| Fifth =  
| Major 2nd =
| Semitones =
| Semitones =
| Consistency =  
| Consistency =  
Retrieved from "https://en.xen.wiki/w/Template:Infobox_ET"