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Line 45: Line 45:
| P1
| P1
| D
| D
|perfect unison
| perfect unison
|P1
| P1
|D
| D
|[[File:0-0.000c_P1.mp3]]
| [[File:0-0.000c_P1.mp3]]
|-
|-
| 1
| 1
Line 56: Line 56:
| ^1, m2
| ^1, m2
| ^D, Eb
| ^D, Eb
|comma-wide unison, minor 2nd
| comma-wide unison, minor 2nd
|K1, m2
| K1, m2
|KD, Eb
| KD, Eb
|[[File:0-54.545c_22edo.mp3]]
| [[File:0-54.545c_22edo.mp3]]
|-
|-
| 2
| 2
Line 67: Line 67:
| vA1, ^m2
| vA1, ^m2
| vD#, ^Eb
| vD#, ^Eb
|classic minor 2nd
| classic minor 2nd
|Km2
| Km2
|KEb
| KEb
|[[File:0-109.091c_11edo.mp3]]
| [[File:0-109.091c_11edo.mp3]]
|-
|-
| 3
| 3
| 163.636
| 163.636
| [[12/11]], [[11/10]], [[10/9]]
| [[12/11]], [[11/10]], [[10/9]]
| aug 1sn, downmajor 2nd
| aug 1sn, downmajor 2nd
| A1, vM2
| A1, vM2
| D#, vE
| D#, vE
|classic/comma-narrow major 2nd
| classic/comma-narrow major 2nd
|kM2
| kM2
|kE
| kE
|[[File:0-163.636c_22edo.mp3]]
| [[File:0-163.636c_22edo.mp3]]
|-
|-
| 4
| 4
Line 89: Line 89:
| M2
| M2
| E
| E
|major 2nd
| major 2nd
|M2
| M2
|E
| E
|[[File:0-218.182c_11edo.mp3]]
| [[File:0-218.182c_11edo.mp3]]
|-
|-
| 5
| 5
Line 100: Line 100:
| m3
| m3
| F
| F
|minor 3rd
| minor 3rd
|m3
| m3
|F
| F
|[[File:0-272.727c_22edo.mp3]]
| [[File:0-272.727c_22edo.mp3]]
|-
|-
| 6
| 6
Line 111: Line 111:
| ^m3
| ^m3
| ^F
| ^F
|classic minor 3rd
| classic minor 3rd
|Km3
| Km3
|KF
| KF
|[[File:0-327.273c_11edo.mp3]]
| [[File:0-327.273c_11edo.mp3]]
|-
|-
| 7
| 7
Line 122: Line 122:
| vM3
| vM3
| vF#
| vF#
|classic major 3rd
| classic major 3rd
|kM3
| kM3
|kF#
| kF#
|[[File:0-381.818c_22edo.mp3]]
| [[File:0-381.818c_22edo.mp3]]
|-
|-
| 8
| 8
Line 133: Line 133:
| M3
| M3
| F#
| F#
|major 3rd
| major 3rd
|M3
| M3
|F#
| F#
|[[File:0-436.364c_11edo.mp3]]
| [[File:0-436.364c_11edo.mp3]]
|-
|-
| 9
| 9
Line 144: Line 144:
| P4
| P4
| G
| G
|perfect 4th
| perfect 4th
|P4
| P4
|G
| G
|[[File:0-490.909c_22edo.mp3]]
| [[File:0-490.909c_22edo.mp3]]
|-
|-
| 10
| 10
Line 155: Line 155:
| ^4, d5
| ^4, d5
| ^G, Ab
| ^G, Ab
|comma-wide 4th
| comma-wide 4th
|K4
| K4
|KG
| KG
|[[File:0-545.455c_11edo.mp3]]
| [[File:0-545.455c_11edo.mp3]]
|-
|-
| 11
| 11
Line 166: Line 166:
| vA4, ^d5
| vA4, ^d5
| vG#, ^Ab
| vG#, ^Ab
|comma-narrow augmented 4th
| comma-narrow augmented 4th<br>comma-wide diminished 5th
comma-wide diminished 5th
| kA4<br>Kd5
|kA4
| kG#, KAb
Kd5
| [[File:0-600.000c_2edo.mp3]]
|kG#, KAb
|[[File:0-600.000c_2edo.mp3]]
|-
|-
| 12
| 12
Line 179: Line 177:
| A4, v5
| A4, v5
| G#, vA
| G#, vA
|comma-narrow 5th
| comma-narrow 5th
|k5
| k5
|kA
| kA
|[[File:0-654.545c_11edo.mp3]]
| [[File:0-654.545c_11edo.mp3]]
|-
|-
| 13
| 13
Line 190: Line 188:
| P5
| P5
| A
| A
|perfect 5th
| perfect 5th
|P5
| P5
|A
| A
|[[File:0-709.091c_22edo.mp3]]
| [[File:0-709.091c_22edo.mp3]]
|-
|-
| 14
| 14
Line 201: Line 199:
| m6
| m6
| Bb
| Bb
|minor 6th
| minor 6th
|m6
| m6
|Bb
| Bb
|[[File:0-763.636c_11edo.mp3]]
| [[File:0-763.636c_11edo.mp3]]
|-
|-
| 15
| 15
Line 212: Line 210:
| ^m6
| ^m6
| ^Bb
| ^Bb
|classic minor 6th
| classic minor 6th
|Km6
| Km6
|KBb
| KBb
|[[File:0-818.182c_22edo.mp3]]
| [[File:0-818.182c_22edo.mp3]]
|-
|-
| 16
| 16
Line 223: Line 221:
| vM6
| vM6
| vB
| vB
|classic major 6th
| classic major 6th
|kM6
| kM6
|kB
| kB
|[[File:0-872.727c_11edo.mp3]]
| [[File:0-872.727c_11edo.mp3]]
|-
|-
| 17
| 17
Line 234: Line 232:
| M6
| M6
| B
| B
|major 6th
| major 6th
|M6
| M6
|B
| B
|[[File:0-927.273c_22edo.mp3]]
| [[File:0-927.273c_22edo.mp3]]
|-
|-
| 18
| 18
Line 245: Line 243:
| m7
| m7
| C
| C
|minor 7th
| minor 7th
|m7
| m7
|C
| C
|[[File:0-981.818c_11edo.mp3]]
| [[File:0-981.818c_11edo.mp3]]
|-
|-
| 19
| 19
Line 256: Line 254:
| ^m7, d8
| ^m7, d8
| ^C, Db
| ^C, Db
|classic minor 7th
| classic minor 7th
|Km7
| Km7
|kC
| kC
|[[File:0-1036.364c_22edo.mp3]]
| [[File:0-1036.364c_22edo.mp3]]
|-
|-
| 20
| 20
Line 267: Line 265:
| vM7, ^d8
| vM7, ^d8
| vC#, ^Db
| vC#, ^Db
|classic major 7th
| classic major 7th
|kM7
| kM7
|kC#
| kC#
|[[File:0-1090.909c_11edo.mp3]]
| [[File:0-1090.909c_11edo.mp3]]
|-
|-
| 21
| 21
Line 278: Line 276:
| M7, v8
| M7, v8
| C#, vD
| C#, vD
|major 7th / comma-narrow 8ve
| major 7th / comma-narrow 8ve
|M7 / k8
| M7 / k8
|C#, kD
| C#, kD
|[[File:0-1145.455c_22edo.mp3]]
| [[File:0-1145.455c_22edo.mp3]]
|-
|-
| 22
| 22
Line 289: Line 287:
| P8
| P8
| D
| D
|perfect 8ve
| perfect 8ve
|P8
| P8
|D
| D
|[[File:0-1200.000c_P8.mp3]]
| [[File:0-1200.000c_P8.mp3]]
|}
|}
<nowiki>*</nowiki> some simpler ratios, ordered by increasing size, based on treating 22edo as a 2.3.5.7.11.17 subgroup temperament; other approaches are possible.
<nowiki>*</nowiki> some simpler ratios, ordered by increasing size, based on treating 22edo as a 2.3.5.7.11.17 subgroup temperament; other approaches are possible.


== Approximation to JI ==
== Approximation to JI ==
[[File:22ed2-001e.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 17-limit intervals approximated in 22edo]]
[[File:22ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 17-limit intervals approximated in 22edo]]
=== 15-odd-limit interval mappings ===
=== 15-odd-limit interval mappings ===
The following tables show how [[15-odd-limit intervals]] are represented in 22edo. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''.  
The following tables show how [[15-odd-limit intervals]] are represented in 22edo. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''.  
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