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16edo: Difference between revisions

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{| class="wikitable center-all"
{| class="wikitable center-all"
|+ style="font-size: 105%" | Intervals of 16edo
|-
! Degree
! [[Cent]]s
! Approximate ratios*
|-
| 0
| 0
| 1/1
|-
| 1
| 75
| 28/27, 27/26
|-
| 2
| 150
| 12/11, 35/32
|-
| 3
| 225
| 8/7
|-
| 4
| 300
| 19/16, 32/27
|-
| 5
| 375
| 5/4, 16/13, 26/21
|-
| 6
| 450
| 13/10, 35/27
|-
| 7
| 525
| 19/14, 27/20, 35/26, 256/189
|-
| 8
| 600
| 7/5, 10/7
|-
| 9
| 675
| 28/19, 40/27, 52/35, 189/128
|-
| 10
| 750
| 20/13, 54/35
|-
| 11
| 825
| 8/5, 13/8, 21/13
|-
| 12
| 900
| 27/16, 32/19
|-
| 13
| 975
| 7/4
|-
| 14
| 1050
| 11/6, 64/35
|-
| 15
| 1125
| 27/14, 52/27
|-
| 16
| 1200
| 2/1
|}
<nowiki />* Based on treating 16edo as a 2.5.7.13.19.27 subgroup temperament; other approaches are possible.
{| class="wikitable center-all"
|+ style="font-size: 105%" | Notation systems for 16edo
|-
|-
! rowspan="2" | Degree
! rowspan="2" | Degree
! rowspan="2" | [[Cent]]s
! rowspan="2" | [[Cent]]s
! rowspan="2" | Approximate<br>ratios*
! colspan="6" | Names
! colspan="6" | Names
|-
|-
Line 56: Line 134:
| 0
| 0
| 0
| 0
| 1/1
| unison
| unison
| D
| D
Line 66: Line 143:
| 1
| 1
| 75
| 75
| 28/27, 27/26
| aug 1, dim 2nd
| aug 1, dim 2nd
| D♯, E♭
| D♯, E♭
Line 76: Line 152:
| 2
| 2
| 150
| 150
| 12/11, 35/32
| minor 2nd
| minor 2nd
| E
| E
Line 86: Line 161:
| 3
| 3
| 225
| 225
| 8/7
| major 2nd
| major 2nd
| E♯
| E♯
Line 96: Line 170:
| 4
| 4
| 300
| 300
| 19/16, 32/27
| minor 3rd
| minor 3rd
| F♭
| F♭
Line 106: Line 179:
| 5
| 5
| 375
| 375
| 5/4, 16/13, 26/21
| major 3rd
| major 3rd
| F
| F
Line 116: Line 188:
| 6
| 6
| 450
| 450
| 13/10, 35/27
| aug 3rd,<br>dim 4th
| aug 3rd,<br>dim 4th
| F♯, G♭
| F♯, G♭
Line 126: Line 197:
| 7
| 7
| 525
| 525
| 19/14, 27/20, 35/26, 256/189
| perfect 4th
| perfect 4th
| G
| G
Line 136: Line 206:
| 8
| 8
| 600
| 600
| 7/5, 10/7
| aug 4th,<br>dim 5th
| aug 4th,<br>dim 5th
| G♯, A♭
| G♯, A♭
Line 146: Line 215:
| 9
| 9
| 675
| 675
| 28/19, 40/27, 52/35, 189/128
| perfect 5th
| perfect 5th
| A
| A
Line 156: Line 224:
| 10
| 10
| 750
| 750
| 20/13, 54/35
| aug 5th,<br>dim 6th
| aug 5th,<br>dim 6th
| A♯, B♭
| A♯, B♭
Line 166: Line 233:
| 11
| 11
| 825
| 825
| 8/5, 13/8, 21/13
| minor 6th
| minor 6th
| B
| B
Line 176: Line 242:
| 12
| 12
| 900
| 900
| 27/16, 32/19
| major 6th
| major 6th
| B♯
| B♯
Line 186: Line 251:
| 13
| 13
| 975
| 975
| 7/4
| minor 7th
| minor 7th
| C♭
| C♭
Line 196: Line 260:
| 14
| 14
| 1050
| 1050
| 11/6, 64/35
| major 7th
| major 7th
| C
| C
Line 206: Line 269:
| 15
| 15
| 1125
| 1125
| 27/14, 52/27
| aug 7th,<br>dim 8ve
| aug 7th,<br>dim 8ve
| C♯, D♭
| C♯, D♭
Line 216: Line 278:
| 16
| 16
| 1200
| 1200
| 2/1
| 8ve
| 8ve
| D
| D
Line 224: Line 285:
| octave
| octave
|}
|}
<nowiki />* Based on treating 16edo as a 2.5.7.13.19.27 subgroup temperament; other approaches are possible.
 


== Notation ==
== Notation ==
Retrieved from "https://en.xen.wiki/w/16edo"