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12edo: Difference between revisions

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→Intervals: four columns is overkill
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2,763 edits
→Intervals: place audio in the middle for better comparison
Line 39: Line 39:
|+ style="font-size: 105%;" | Intervals of 12edo
|+ style="font-size: 105%;" | Intervals of 12edo
|-
|-
! rowspan="2" | [[Degree]]
! [[Degree]]
! rowspan="2" | [[Cent]]s
! [[Cent]]s
! rowspan="2" | [[Interval region]]
! [[Interval region]]
! colspan="2" | Approximated [[JI]] intervals ([[error]] in [[¢]])
! style="width: 165px;" | Approximated 5-limit<br>JI intervals (error in [[¢]])
! rowspan="2" | Audio
! Audio
|-
! style="width: 330px;" | Higher limit intervals<ref group="note">{{sg|limit=2.3.5.7.17.19 subgroup}}</ref>
! [[5-limit]]
! style="width: 330px;" | Higher limits<ref group="note">{{sg|limit=2.3.5.7.17.19 subgroup}}</ref>
|-
|-
| 0
| 0
Line 52: Line 50:
| Unison (prime)
| Unison (prime)
| [[1/1]] (just)
| [[1/1]] (just)
|
| [[File:piano_0_1edo.mp3]]
| [[File:piano_0_1edo.mp3]]
|
|-
|-
| 1
| 1
Line 59: Line 57:
| Minor second
| Minor second
| [[256/243]] (+9.775)<br>[[25/24]] (+29.328)<br>[[16/15]] (−11.731)
| [[256/243]] (+9.775)<br>[[25/24]] (+29.328)<br>[[16/15]] (−11.731)
| [[File:piano_1_12edo.mp3]]
| [[28/27]] (+37.039), [[21/20]] (+15.533), [[15/14]] (−19.443)<br>[[17/16]] (−4.955), [[18/17]] (+1.045)<br>[[19/18]] (+6.397), [[20/19]] (+11.199)
| [[28/27]] (+37.039), [[21/20]] (+15.533), [[15/14]] (−19.443)<br>[[17/16]] (−4.955), [[18/17]] (+1.045)<br>[[19/18]] (+6.397), [[20/19]] (+11.199)
| [[File:piano_1_12edo.mp3]]
|-
|-
| 2
| 2
Line 66: Line 64:
| Major second
| Major second
| [[9/8]] (−3.910)<br>[[10/9]] (+17.596)
| [[9/8]] (−3.910)<br>[[10/9]] (+17.596)
| [[File:piano_1_6edo.mp3]]
| [[8/7]] (−31.174), [[28/25]] (+3.802)<br>[[17/15]] (−16.687), [[19/17]] (+7.442), [[64/57]] (−0.532)
| [[8/7]] (−31.174), [[28/25]] (+3.802)<br>[[17/15]] (−16.687), [[19/17]] (+7.442), [[64/57]] (−0.532)
| [[File:piano_1_6edo.mp3]]
|-
|-
| 3
| 3
Line 73: Line 71:
| Minor third
| Minor third
| [[32/27]] (+5.865)<br>[[6/5]] (−15.641)<br>[[75/64]] (+25.418)
| [[32/27]] (+5.865)<br>[[6/5]] (−15.641)<br>[[75/64]] (+25.418)
| [[File:piano_1_4edo.mp3]]
| [[7/6]] (+33.129), [[25/21]] (−1.847)<br>[[19/16]] (+2.487)
| [[7/6]] (+33.129), [[25/21]] (−1.847)<br>[[19/16]] (+2.487)
| [[File:piano_1_4edo.mp3]]
|-
|-
| 4
| 4
Line 80: Line 78:
| Major third
| Major third
| [[81/64]] (−7.820)<br>[[5/4]] (+13.686)<br> [[32/25]] (-27.373)
| [[81/64]] (−7.820)<br>[[5/4]] (+13.686)<br> [[32/25]] (-27.373)
| [[File:piano_1_3edo.mp3]]
| [[63/50]] (−0.108), [[9/7]] (−35.084)<br>[[34/27]] (+0.910), [[24/19]] (−4.442)
| [[63/50]] (−0.108), [[9/7]] (−35.084)<br>[[34/27]] (+0.910), [[24/19]] (−4.442)
| [[File:piano_1_3edo.mp3]]
|-
|-
| 5
| 5
Line 87: Line 85:
| Fourth
| Fourth
| [[4/3]] (+1.955)<br> [[27/20]] (-19.551)
| [[4/3]] (+1.955)<br> [[27/20]] (-19.551)
| [[File:piano_5_12edo.mp3]]
| [[21/16]] (-29.219)
| [[21/16]] (-29.219)
| [[File:piano_5_12edo.mp3]]
|-
|-
| 6
| 6
Line 94: Line 92:
| [[Tritone]]
| [[Tritone]]
| [[25/18]] (+31.283)<br>[[36/25]] (-31.283)<br>[[45/32]] (+9.776)<br>[[64/45]] (−9.776)
| [[25/18]] (+31.283)<br>[[36/25]] (-31.283)<br>[[45/32]] (+9.776)<br>[[64/45]] (−9.776)
| [[File:piano_1_2edo.mp3]]
| [[7/5]] (+17.488), [[10/7]] (−17.488)<br>[[24/17]] (+3.000), [[17/12]] (−3.000)<br>[[99/70]] (−0.088), [[140/99]] (+0.088)
| [[7/5]] (+17.488), [[10/7]] (−17.488)<br>[[24/17]] (+3.000), [[17/12]] (−3.000)<br>[[99/70]] (−0.088), [[140/99]] (+0.088)
| [[File:piano_1_2edo.mp3]]
|-
|-
| 7
| 7
Line 101: Line 99:
| Fifth
| Fifth
| [[3/2]] (−1.955)<br>[[40/27]] (+19.551)
| [[3/2]] (−1.955)<br>[[40/27]] (+19.551)
| [[File:piano_7_12edo.mp3]]
| [[32/21]] (+29.219)
| [[32/21]] (+29.219)
| [[File:piano_7_12edo.mp3]]
|-
|-
| 8
| 8
Line 108: Line 106:
| Minor sixth
| Minor sixth
| [[128/81]] (+7.820)<br>[[8/5]] (−13.686)<br>[[25/16]] (+27.373)
| [[128/81]] (+7.820)<br>[[8/5]] (−13.686)<br>[[25/16]] (+27.373)
| [[File:piano_2_3edo.mp3]]
| [[14/9]] (+35.084), [[100/63]] (+0.108)<br>[[19/12]] (+4.442), [[27/17]] (−0.910)
| [[14/9]] (+35.084), [[100/63]] (+0.108)<br>[[19/12]] (+4.442), [[27/17]] (−0.910)
| [[File:piano_2_3edo.mp3]]
|-
|-
| 9
| 9
Line 115: Line 113:
| Major sixth
| Major sixth
| [[27/16]] (−5.865)<br>[[5/3]] (+15.641)<br>[[128/75]] (-25.418)
| [[27/16]] (−5.865)<br>[[5/3]] (+15.641)<br>[[128/75]] (-25.418)
| [[File:piano_3_4edo.mp3]]
| [[12/7]] (−33.129), [[42/25]] (+1.847)<br>[[32/19]] (−2.487)
| [[12/7]] (−33.129), [[42/25]] (+1.847)<br>[[32/19]] (−2.487)
| [[File:piano_3_4edo.mp3]]
|-
|-
| 10
| 10
Line 122: Line 120:
| Minor seventh
| Minor seventh
| [[16/9]] (+3.910)<br>[[9/5]] (−17.596)
| [[16/9]] (+3.910)<br>[[9/5]] (−17.596)
| [[File:piano_5_6edo.mp3]]
| [[7/4]] (+31.174), [[25/14]] (−3.802)<br>[[30/17]] (+16.687), [[34/19]] (−7.442)<br>[[57/32]] (+0.532)
| [[7/4]] (+31.174), [[25/14]] (−3.802)<br>[[30/17]] (+16.687), [[34/19]] (−7.442)<br>[[57/32]] (+0.532)
| [[File:piano_5_6edo.mp3]]
|-
|-
| 11
| 11
Line 129: Line 127:
| Major seventh
| Major seventh
| [[243/128]] (-9.775)<br>[[15/8]] (+11.731)<br>[[48/25]] (−29.328)
| [[243/128]] (-9.775)<br>[[15/8]] (+11.731)<br>[[48/25]] (−29.328)
| [[File:piano_11_12edo.mp3]]
| [[28/15]] (+19.443), [[40/21]] (−15.533), [[27/14]] (−37.039)<br>[[32/17]] (+4.955), [[17/9]] (−1.045)<br>[[36/19]] (-6.397), [[19/10]] (-11.199)
| [[28/15]] (+19.443), [[40/21]] (−15.533), [[27/14]] (−37.039)<br>[[32/17]] (+4.955), [[17/9]] (−1.045)<br>[[36/19]] (-6.397), [[19/10]] (-11.199)
| [[File:piano_11_12edo.mp3]]
|-
|-
| 12
| 12
Line 136: Line 134:
| Octave
| Octave
| [[2/1]] (just)
| [[2/1]] (just)
|
| [[File:piano_1_1edo.mp3]]
| [[File:piano_1_1edo.mp3]]
|
|}
|}
<references group="note" />
<references group="note" />
Retrieved from "https://en.xen.wiki/w/12edo"