Xenharmonic Wiki

53edo: Difference between revisions

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Move temperament measures to RTT properties section
Move temperament generator info to RTT section
Line 91: Line 91:
! Cents
! Cents
! Approximate ratios*
! Approximate ratios*
! colspan="3" | [[Ups_and_Downs_Notation|Ups and downs notation]]
! colspan="3" | [[Ups and downs notation]]
! Generator for
|-
|-
| 0
| 0
Line 101: Line 100:
| unison
| unison
| D
| D
|
|-
|-
| 1
| 1
Line 110: Line 108:
| up unison
| up unison
| ^D
| ^D
|
|-
|-
| 2
| 2
Line 119: Line 116:
| double-up unison, <br>double-down minor 2nd
| double-up unison, <br>double-down minor 2nd
| ^^D, <br>vvEb
| ^^D, <br>vvEb
| [[Quartonic]]
|-
|-
| 3
| 3
Line 128: Line 124:
| downminor 2nd
| downminor 2nd
| vEb
| vEb
|
|-
|-
| 4
| 4
Line 137: Line 132:
| minor 2nd
| minor 2nd
| Eb
| Eb
|
|-
|-
| 5
| 5
Line 146: Line 140:
| upminor 2nd
| upminor 2nd
| ^Eb
| ^Eb
|
|-
|-
| 6
| 6
Line 155: Line 148:
| downmid 2nd
| downmid 2nd
| ^^Eb
| ^^Eb
|
|-
|-
| 7
| 7
Line 164: Line 156:
| upmid 2nd
| upmid 2nd
| vvE
| vvE
| [[Hemikleismic]]
|-
|-
| 8
| 8
Line 173: Line 164:
| downmajor 2nd
| downmajor 2nd
| vE
| vE
|
|-
|-
| 9
| 9
Line 182: Line 172:
| major 2nd
| major 2nd
| E
| E
|
|-
|-
| 10
| 10
Line 191: Line 180:
| upmajor 2nd
| upmajor 2nd
| ^E
| ^E
|
|-
|-
| 11
| 11
Line 200: Line 188:
| double-up major 2nd, <br>double-down minor 3rd
| double-up major 2nd, <br>double-down minor 3rd
| ^^E, <br>vvF
| ^^E, <br>vvF
| [[Hemischis]]
|-
|-
| 12
| 12
Line 209: Line 196:
| downminor 3rd
| downminor 3rd
| vF
| vF
| [[Orwell]]
|-
|-
| 13
| 13
Line 218: Line 204:
| minor 3rd
| minor 3rd
| F
| F
|
|-
|-
| 14
| 14
Line 227: Line 212:
| upminor 3rd
| upminor 3rd
| ^F
| ^F
| [[Hanson]]/[[Catakleismic]]
|-
|-
| 15
| 15
Line 236: Line 220:
| downmid 3rd
| downmid 3rd
| ^^F
| ^^F
| [[Amity]]/[[Hitchcock]]
|-
|-
| 16
| 16
Line 245: Line 228:
| upmid 3rd
| upmid 3rd
| vvF#
| vvF#
|
|-
|-
| 17
| 17
Line 254: Line 236:
| downmajor 3rd
| downmajor 3rd
| vF#
| vF#
|
|-
|-
| 18
| 18
Line 263: Line 244:
| major 3rd
| major 3rd
| F#
| F#
|
|-
|-
| 19
| 19
Line 272: Line 252:
| upmajor 3rd
| upmajor 3rd
| ^F#
| ^F#
| [[Hamity]]
|-
|-
| 20
| 20
Line 281: Line 260:
| double-up major 3rd, <br>double-down 4th
| double-up major 3rd, <br>double-down 4th
| ^^F#, <br>vvG
| ^^F#, <br>vvG
|
|-
|-
| 21
| 21
Line 290: Line 268:
| down 4th
| down 4th
| vG
| vG
| [[Vulture]]/[[Buzzard]]
|-
|-
| 22
| 22
Line 299: Line 276:
| perfect 4th
| perfect 4th
| G
| G
|
|-
|-
| 23
| 23
Line 308: Line 284:
| up 4th
| up 4th
| ^G
| ^G
|
|-
|-
| 24
| 24
Line 317: Line 292:
| downmid 4th
| downmid 4th
| ^^G
| ^^G
|
|-
|-
| 25
| 25
Line 326: Line 300:
| upmid 4th, <br>downdim 5th
| upmid 4th, <br>downdim 5th
| vvG#, <br>vAb
| vvG#, <br>vAb
| [[Tricot]]
|-
|-
| 26
| 26
Line 335: Line 308:
| downaug 4th, <br>dim 5th
| downaug 4th, <br>dim 5th
| vG#, <br>Ab
| vG#, <br>Ab
|
|-
|-
| 27
| 27
Line 344: Line 316:
| aug 4th, <br>updim 5th
| aug 4th, <br>updim 5th
| G#, <br>^Ab
| G#, <br>^Ab
|
|-
|-
| 28
| 28
Line 353: Line 324:
| upaug 4th, <br>downmid 5th
| upaug 4th, <br>downmid 5th
| ^G#, <br>^^Ab
| ^G#, <br>^^Ab
|
|-
|-
| 29
| 29
Line 362: Line 332:
| upmid 5th
| upmid 5th
| vvA
| vvA
|
|-
|-
| 30
| 30
Line 371: Line 340:
| down 5th
| down 5th
| vA
| vA
|
|-
|-
| 31
| 31
Line 380: Line 348:
| perfect 5th
| perfect 5th
| A
| A
| [[Helmholtz]]/[[Garibaldi]]
|-
|-
| 32
| 32
Line 389: Line 356:
| up 5th
| up 5th
| ^A
| ^A
|
|-
|-
| 33
| 33
Line 398: Line 364:
| double-up 5th, <br>double-down minor 6th
| double-up 5th, <br>double-down minor 6th
| ^^A, <br>vvBb
| ^^A, <br>vvBb
|
|-
|-
| 34
| 34
Line 407: Line 372:
| downminor 6th
| downminor 6th
| vBb
| vBb
|
|-
|-
| 35
| 35
Line 416: Line 380:
| minor 6th
| minor 6th
| Bb
| Bb
|
|-
|-
| 36
| 36
Line 425: Line 388:
| upminor 6th
| upminor 6th
| ^Bb
| ^Bb
|
|-
|-
| 37
| 37
Line 434: Line 396:
| downmid 6th
| downmid 6th
| ^^Bb
| ^^Bb
|
|-
|-
| 38
| 38
Line 443: Line 404:
| upmid 6th
| upmid 6th
| vvB
| vvB
|
|-
|-
| 39
| 39
Line 452: Line 412:
| downmajor 6th
| downmajor 6th
| vB
| vB
|
|-
|-
| 40
| 40
Line 461: Line 420:
| major 6th
| major 6th
| B
| B
|
|-
|-
| 41
| 41
Line 470: Line 428:
| upmajor 6th
| upmajor 6th
| ^B
| ^B
|
|-
|-
| 42
| 42
Line 479: Line 436:
| double-up major 6th, <br>double-down minor 7th
| double-up major 6th, <br>double-down minor 7th
| ^^B, <br>vvC
| ^^B, <br>vvC
|
|-
|-
| 43
| 43
Line 488: Line 444:
| downminor 7th
| downminor 7th
| vC
| vC
|
|-
|-
| 44
| 44
Line 497: Line 452:
| minor 7th
| minor 7th
| C
| C
|
|-
|-
| 45
| 45
Line 506: Line 460:
| upminor 7th
| upminor 7th
| ^C
| ^C
|
|-
|-
| 46
| 46
Line 515: Line 468:
| downmid 7th
| downmid 7th
| ^^C
| ^^C
|
|-
|-
| 47
| 47
Line 524: Line 476:
| upmid 7th
| upmid 7th
| vvC#
| vvC#
|
|-
|-
| 48
| 48
Line 533: Line 484:
| downmajor 7th
| downmajor 7th
| vC#
| vC#
|
|-
|-
| 49
| 49
Line 542: Line 492:
| major 7th
| major 7th
| C#
| C#
|
|-
|-
| 50
| 50
Line 551: Line 500:
| upmajor 7th
| upmajor 7th
| ^C#
| ^C#
|
|-
|-
| 51
| 51
Line 560: Line 508:
| double-up major 7th, <br>double-down 8ve
| double-up major 7th, <br>double-down 8ve
| ^^C#, <br>vvD
| ^^C#, <br>vvD
|
|-
|-
| 52
| 52
Line 569: Line 516:
| down 8ve
| down 8ve
| vD
| vD
|
|-
|-
| 53
| 53
Line 578: Line 524:
| perfect 8ve
| perfect 8ve
| D
| D
|
|}
|}
<nowiki>*</nowiki> Based on interpreting 53edo as a no-17's [[19-limit]] temperament. Italics represent inconsistent intervals which are mapped by the 19-limit [[patent val]] to their second-best (as opposed to best) approximation in 53edo.
<nowiki>*</nowiki> Based on interpreting 53edo as a no-17's [[19-limit]] temperament. Italics represent inconsistent intervals which are mapped by the 19-limit [[patent val]] to their second-best (as opposed to best) approximation in 53edo.
Combining ups and downs notation with [[Kite's_color_notation|color notation]], qualities can be loosely associated with colors:
Combining ups and downs notation with [[color notation]], qualities can be loosely associated with colors:


{| class="wikitable center-all"
{| class="wikitable center-all"
Line 875: Line 820:
* [[List of edo-distinct 53et rank two temperaments]]
* [[List of edo-distinct 53et rank two temperaments]]
* [[Schismic-Mercator equivalence continuum]]
* [[Schismic-Mercator equivalence continuum]]
{| class="wikitable center-all left-5"
|+ Table of rank-2 temperaments by generator
|-
! Periods<br> per Octave
! Generator
! Cents
! Associated Ratio
! Temperament
|-
| 1
| 2\53
| 45.28
| 36/35
| [[Quartonic]]
|-
| 1
| 7\53
| 158.49
| 11/10
| [[Hemikleismic]]
|-
| 1
| 11\53
| 249.06
| 15/13
| [[Hemischis]]
|-
| 1
| 12\53
| 271.70
| 7/6
| [[Orson]] / [[orwell]]
|-
| 1
| 14\53
| 316.98
| 6/5
| [[Hanson]] / [[catakleismic]] / [[countercata]]
|-
| 1
| 15\53
| 339.62
| 11/9
| [[Amity]] / [[hitchcock]]
|-
| 1
| 19\53
| 430.19
| 9/7
| [[Hamity]]
|-
| 1
| 21\53
| 475.47
| 21/16
| [[Vulture]] / [[buzzard]]
|-
| 1
| 22\53
| 498.11
| 4/3
| [[Helmholtz]] / [[garibaldi]] / [[pontiac]]
|-
| 1
| 25\53
| 566.04
| 18/13
| [[Tricot]]
|}


== Music ==
== Music ==
Retrieved from "https://en.xen.wiki/w/53edo"