ED5: Difference between revisions

Line 493: Line 493:
|[[48ed5]]
|[[48ed5]]
|
|
|Same ~.03 cent/note progressive flattening as 24ed5~31ed8
|Every third note of [[62edo]], getting ~.02 cent flatter as it ascends the scale
|-
|-
| | [[49ed5]]
| | [[49ed5]]
Line 509: Line 509:
|[[52ed5]]
|[[52ed5]]
|
|
|Same ~.05 cent/note progressive sharpening as 13ed5~28ed32
|Every fifth note of [[112edo]], getting ~.01 cent sharper as it ascends the scale
|-
|-
|[[53ed5]]
|[[53ed5]]
Line 517: Line 517:
|[[54ed5]]
|[[54ed5]]
|
|
|Same ~.04 cent/note progressive flattening as 18ed5~31ed16
|Every fourth note of [[93edo]], getting ~.015 cent flatter as it ascends the scale
|-
|-
|[[55ed5]]
|[[55ed5]]
Line 549: Line 549:
|[[62ed5]]
|[[62ed5]]
|
|
|Same ~.12 cent/note progressive flattening as 31ed5~40ed8
|Every third note of [[80edo]], getting ~.06 cent flatter as it ascends the scale
|-
|-
|[[63ed5]]
|[[63ed5]]
Line 565: Line 565:
|[[66ed5]]
|[[66ed5]]
|
|
|Same ~.07 cent/note progressive flattening as 33ed5~71ed32
|Every fifth note of [[142edo]], getting ~.04 cent flatter as it ascends the scale
|-
|[[67ed5]]
|
|Every fifth note of [[144edo]], getting ~.08 cent flatter as it ascends the scale
|-
|[[68ed5]]
|
|Every third note of [[88edo]], getting ~.07 cent sharper as it ascends the scale
|-
|[[69ed5]]
|
|Same ~11 cent octave stretch as 23ed5~10edo. Matches Mavila tuned in 30edo.
|-
|[[70ed5]]
|[[30edo]]
|This is a rough correspondence, as the (7n)ed5 ~ (3n)edo sequence begins to break down again. Patent vals match through the 11-limit, with the exception of 7.
|-
|[[71ed5]]
|
|Every other note of [[61edo]], getting ~.1 cent flatter as it ascends the scale
|-
|-
| | [[72ed5]]
| | [[72ed5]]
| | [[31edo]]
| | [[31edo]]
| | 72ed5 is 31edo with ~0.34 cent compressed octaves. Patent vals match through the 31-limit.
| | 72ed5 is 31edo with ~0.34 cent compressed octaves. Patent vals match through the 31-limit.
|-
|[[73ed5]]
|
|Every other note of [[63edo]], getting ~.07 cent sharper as it ascends the scale
|-
|[[74ed5]]
|[[32edo]]
|Same ~4.9 cent octave stretch as 37ed5~16edo. Patent vals match through the 13-limit with the exception of 7 and 11.
|-
|[[75ed5]]
|
|Every third note of [[97edo]], getting ~.04 cent sharper as it ascends the scale
|-
|[[76ed5]]
|
|Every third note of [[98edo]], getting ~.07 cent flatter as it ascends the scale
|-
|[[77ed5]]
|[[33edo]]
|This is a rough correspondence, as the (7n)ed5 ~ (3n)edo sequence continues to break down. Patent vals match through the 7-limit.
|-
|[[78ed5]]
|
|Every other note of [[67edo]], getting ~.1 cent flatter as it ascends the scale
|-
|-
| | [[79ed5]]
| | [[79ed5]]
| | [[34edo]]
| | [[34edo]]
| | 79ed5 is 34edo with ~0.83 cent compressed octaves. Patent vals match through the 17-limit, with the exception of 7 (which neither represents well).
| | 79ed5 is 34edo with ~0.83 cent compressed octaves. Patent vals match through the 17-limit, with the exception of 7 (which neither represents well).
|-
|[[80ed5]]
|
|Every other note of [[69edo]], getting ~.05 cent sharper as it ascends the scale
|-
|-
| | [[81ed5]]
| | [[81ed5]]
| | [[35edo]]
| | [[35edo]]
| | 81ed5 is 35edo with ~4.0 cent stretched octaves. Patent vals match through the 11-limit.
| | 81ed5 is 35edo with ~4.0 cent stretched octaves. Patent vals match through the 11-limit.
|-
|[[82ed5]]
|
|Every third note of [[106edo]], getting ~.02 cent sharper as it ascends the scale
|-
|[[83ed5]]
|
|Every fourth note of [[143edo]], getting ~.04 cent sharper as it ascends the scale
|-
|[[84ed5]]
|[[36edo]]
|This is a rough correspondence, as the (7n)ed5 ~ (3n)edo sequence is momentarily fixed again. Patent vals match through the 11-limit, with the exception of 7.
|-
|[[85ed5]]
|
|Every other note of [[73edo]], getting ~.1 cent flatter as it ascends the scale
|-
|-
| | [[86ed5]]
| | [[86ed5]]
| | [[37edo]]
| | [[37edo]]
| | 86ed5 is 37edo with ~1.2 cent compressed octaves. Patent vals match through the 19-limit.
| | 86ed5 is 37edo with ~1.2 cent compressed octaves. Patent vals match through the 19-limit.
|-
|[[87ed5]]
|
|Every other note of [[75edo]], getting ~.03 cent sharper as it ascends the scale
|-
|-
| | [[88ed5]]
| | [[88ed5]]
| | [[38edo]]
| | [[38edo]]
| | Same 3.2 cent octave stretch as 44ed5~19edo. Patent vals differ in the 7-limit.
| | Same 3.2 cent octave stretch as 44ed5~19edo. Patent vals differ in the 7-limit.
|-
|[[89ed5]]
|
|Every third note of [[115edo]], getting ~.0025 cent sharper as it ascends the scale
|-
|[[90ed5]]
|
|Same ~7.4 cent octave stretch as 30ed5~13edo, but really matches the tuning with generator 4\155 of an octave.
|-
|[[91ed5]]
|[[39edo]]
|This is a rough correspondence, as the (7n)ed5 ~ (3n)edo sequence begins to break down again. Patent vals match through the 7-limit.
|-
|[[92ed5]]
|
|Every fifth note of [[198edo]], getting ~.02 cent flatter as it ascends the scale
|-
|-
| | [[93ed5]]
| | [[93ed5]]
| | [[40edo]]
| | [[40edo]]
| | 93ed5 is 40edo with ~1.6 cent compressed octaves. Patent vals match through the 7-limit.
| | 93ed5 is 40edo with ~1.6 cent compressed octaves. Patent vals match through the 7-limit.
|-
|[[94ed5]]
|
|Every other note of [[81edo]], getting ~.01 cent sharper as it ascends the scale
|-
|-
| | [[95ed5]]
| | [[95ed5]]
| | [[41edo]]
| | [[41edo]]
| | 95ed5 is 41edo with ~2.5 cent stretched octaves. Patent vals match through the 11-limit.
| | 95ed5 is 41edo with ~2.5 cent stretched octaves. Patent vals match through the 11-limit.
|-
|[[96ed5]]
|
|Every third note of [[124edo]], getting ~.01 cent flatter as it ascends the scale
|-
|[[97ed5]]
|
|Every fourth note of [[167edo]], getting ~.02 cent flatter as it ascends the scale
|-
|[[98ed5]]
|[[42edo]]
|This is a rough correspondence, as the (7n)ed5 ~ (3n)edo sequence momentarily stops breaking down further.
|-
|[[99ed5]]
|
|Every third note of [[128edo]], getting ~.02 cent sharper as it ascends the scale
|-
|-
| | [[100ed5]]
| | [[100ed5]]
| | [[43edo]]
| | [[43edo]]
| | 100ed5 is 43edo with ~1.9 cent compressed octaves. Patent vals match through the 37-limit.
| | 100ed5 is 43edo with ~1.9 cent compressed octaves. Patent vals match through the 37-limit.
|-
|[[101ed5]]
|
|Every other note of [[87edo]], getting ~.001 cent sharper as it ascends the scale
|-
|-
| | [[102ed5]]
| | [[102ed5]]
| | [[44edo]]
| | [[44edo]]
| | Same 1.9 cent octave stretch as 51ed5~22edo. Patent vals match through the 23-limit, with the exception of 7.
| | Same 1.9 cent octave stretch as 51ed5~22edo. Patent vals match through the 23-limit, with the exception of 7.
|-
|[[103ed5]]
|
|Every other note of [[89edo]], getting ~.009 cent sharper as it ascends the scale
|-
|[[104ed5]]
|[[45edo]]
|104ed5 is 45edo with ~5.6 cent stretched octaves. Patent vals match through the 7-limit.
|-
|[[105ed5]]
|
|This is a rough correspondence, as the (7n)ed5 ~ (3n)edo sequence begins to break down again. Patent vals match through the 5-limit, with the exception of 3.
|-
|[[106ed5]]
|
|Every third note of [[137edo]], getting ~.009 cent sharper as it ascends the scale
|-
|-
| | [[107ed5]]
| | [[107ed5]]
| | [[46edo]]
| | [[46edo]]
| | 107ed5 is 46edo with ~2.1 cent compressed octaves. Patent vals match through the 11-limit.
| | 107ed5 is 46edo with ~2.1 cent compressed octaves. Patent vals match through the 11-limit.
|-
|[[108ed5]]
|
|Every other note of [[93edo]], getting ~.007 cent flatter as it ascends the scale
|-
|-
| | [[109ed5]]
| | [[109ed5]]
| | [[47edo]]
| | [[47edo]]
| | 109ed5 is 47edo with ~1.4 cent stretched octaves. Patent vals match through the 17-limit, with the exception of 11.
| | 109ed5 is 47edo with ~1.4 cent stretched octaves. Patent vals match through the 17-limit, with the exception of 11.
|-
|[[110ed5]]
|
|Every other note of [[95edo]], getting ~.67 cent sharper as it ascends the scale
|-
|[[111ed5]]
|[[48edo]]
|Same ~4.9 cent octave stretch as 37ed5~16edo. Patent vals match through the 5-limit.
|-
|[[112ed5]]
|
|This is a rough correspondence, as the (7n)ed5 ~ (3n)edo sequence is momentarily fixed again. Patent vals match through the 7-limit, with the exception of 5.
|-
|[[113ed5]]
|
|Every third note of [[146edo]], getting ~.0001 cent sharper as it ascends the scale
|-
|-
| | [[114ed5]]
| | [[114ed5]]
| | [[49edo]]
| | [[49edo]]
| | 114ed5 is 49edo with ~2.4 cent compressed octaves. Patent vals match through the 11-limit.
| | 114ed5 is 49edo with ~2.4 cent compressed octaves. Patent vals match through the 11-limit.
|-
|[[115ed5]]
|
|Every other note of [[99edo]], getting ~.001 cent flatter as it ascends the scale
|-
|-
| | [[116ed5]]
| | [[116ed5]]
| | [[50edo]]
| | [[50edo]]
| | Same 1.0 cent octave stretch as 58ed5~25edo. Patent vals agree through the 43-limit.
| | Same 1.0 cent octave stretch as 58ed5~25edo. Patent vals agree through the 43-limit.
|-
|[[117ed5]]
|
|Every other note of [[101edo]], getting ~.05 cent sharper as it ascends the scale
|-
|[[118ed5]]
|[[51edo]]
|118ed5 is 51edo with ~4.25 cent stretched octaves. Patent vals match through the 17-limit with the exception of 13.
|-
|[[119ed5]]
|
|This is a rough correspondence, as the (7n)ed5 ~ (3n)edo sequence has finally broken down more or less altogether. Patent vals match through the 3-limit.
|-
|[[120ed5]]
|
|Same 7.4 cent octave stretch as 30ed5~13edo, but really matches the tuning with generator 3\155 of an octave.
|-
|-
| | [[121ed5]]
| | [[121ed5]]
| | [[52edo]]
| | [[52edo]]
| | 121ed5 is 52edo with ~2.6 cent compressed octaves, but the correspondence is rough. Patent vals match through the 11-limit, with the exception of 3 (which neither represents well).
| | 121ed5 is 52edo with ~2.6 cent compressed octaves, but the correspondence is rough. Patent vals match through the 11-limit, with the exception of 3 (which neither represents well).
|-
|[[122ed5]]
|
|Every other note of [[105edo]], getting ~.002 cent flatter as it ascends the scale
|-
|-
| | [[123ed5]]
| | [[123ed5]]
| | [[53edo]]
| | [[53edo]]
| | 123ed5 is 53edo with ~0.61 cent stretched octaves. Patent vals match through the 29-limit.
| | 123ed5 is 53edo with ~0.61 cent stretched octaves. Patent vals match through the 29-limit.
|-
|[[124ed5]]
|
|Every other note of [[107edo]], getting ~.04 cent sharper as it ascends the scale
|-
|[[125ed5]]
|[[54edo]]
|125ed5 is 54edo with ~3.7 cent stretched octaves, but the correspondence is rough. Patent vals match through the 5-limit, with the exception of 3 (which neither represents well).
|-
|[[126ed5]]
|
|Same rough correspondence as 119ed5~51edo
|-
|[[127ed5]]
|
|Every third note of [[164edo]], getting ~.01 cent flatter as it ascends the scale
|-
|-
| | [[128ed5]]
| | [[128ed5]]
| | [[55edo]]
| | [[55edo]]
| | 128ed5 is 55edo with ~2.8 cent compressed octaves, but the correspondence is rough. Patent vals differ in the 7-limit.
| | 128ed5 is 55edo with ~2.8 cent compressed octaves, but the correspondence is rough. Patent vals differ in the 7-limit.
|-
|[[129ed5]]
|
|Every other note of [[111edo]], getting ~.02 cent flatter as it ascends the scale
|-
|-
| | [[130ed5]]
| | [[130ed5]]
| | [[56edo]]
| | [[56edo]]
| | Same 0.26 cent octave stretch as 65ed5~28edo. Patent vals agree through the 103-limit.
| | Same 0.26 cent octave stretch as 65ed5~28edo. Patent vals agree through the 103-limit.
|-
|[[131ed5]]
|
|Every other note of [[113edo]], getting ~.03 cent sharper as it ascends the scale
|-
|[[132ed5]]
|[[57edo]]
|Same 3.2 cent octave stretch as 44ed5~19edo. Patent vals differ in the 11-limit.
|-
|[[133ed5]]
|
|This is a rough correspondence, as the (7n)ed5 ~ (3n)edo sequence has finally broken down more or less altogether. Patent vals match through the 2-limit.
|-
|[[134ed5]]
|
|Every third note of [[173edo]], getting ~.02 cent flatter as it ascends the scale
|-
|[[135ed5]]
|[[58edo]]
|135ed5 is 58edo with ~2.9 cent compressed octaves. Patent vals match through the 13-limit.
|-
|[[136ed5]]
|
|Every other note of 117edo, getting ~.025 cent flatter as it ascends the scale
|-
|-
| | [[137ed5]]
| | [[137ed5]]
| | [[59edo]]
| | [[59edo]]
| | 137ed5 is 59edo with ~0.05 cent compressed octaves. Patent vals match through the 179-limit.
| | 137ed5 is 59edo with ~0.05 cent compressed octaves. Patent vals match through the 179-limit.
|-
|[[138ed5]]
|
|Every other note of [[119edo]], getting ~.02 cent sharper as it ascends the scale
|-
|[[139ed5]]
|[[60edo]]
|139ed5 is 60edo with ~2.7 cent stretched octaves. Pantent vals match through the 31-limit with the exception of 11.
|-
|[[140ed5]]
|
|Same rough correspondence as 133ed5~57edo
|-
|[[141ed5]]
|
|Every third note of [[182edo]], getting ~.02 cent flatter as it ascends the scale
|-
|[[142ed5]]
|[[61edo]]
|142ed5 is 61edo with ~3.1 cent compressd octaves. Patent vals match through the 13-limit, with the exception of 7 and 11.
|-
|[[143ed5]]
|
|Every other note of [[123edo]], getting ~.03 cent flatter as it ascends the scale
|-
|-
| | [[144ed5]]
| | [[144ed5]]
| | [[62edo]]
| | [[62edo]]
| | Same 0.34 cent octave compression as 72ed5~31edo. Patent vals match through the 19-limit, with the exception of 11.
| | Same 0.34 cent octave compression as 72ed5~31edo. Patent vals match through the 19-limit, with the exception of 11.
|-
|[[145ed5]]
|
|Every other note of [[125edo]], getting ~.02 cent sharper as it ascends the scale
|-
|-
| | [[146ed5]]
| | [[146ed5]]
| | [[63edo]]
| | [[63edo]]
| | 146ed5 is 63edo with ~2.3 cent stretched octaves. Patent vals match through the 13-limit.
| | 146ed5 is 63edo with ~2.3 cent stretched octaves. Patent vals match through the 13-limit.
|-
|[[147ed5]]
|
|Same rough correspondence as 133ed5~57edo
|-
|[[148ed5]]
|
|Same ~4.9 cent octave stretch as 37ed5~16edo, but really matches the tuning with generator 4\255 of an octave.
|-
|[[149ed5]]
|[[64edo]]
|149ed5 is 64edo with ~3.2 cent compressed octaves. Patent vals match through the 7-limit, with the exception of 3
|-
|[[150ed5]]
|
|Every other note of [[129edo]], getting ~.02 cent sharper as it ascends the scale
|-
|-
| | [[151ed5]]
| | [[151ed5]]
| | [[65edo]]
| | [[65edo]]
| | 151ed5 is 65edo with ~0.59 cent compressed octaves. Patent vals match through the 53-limit, with the exception of 7 (as expected).
| | 151ed5 is 65edo with ~0.59 cent compressed octaves. Patent vals match through the 53-limit, with the exception of 7 (as expected).
|-
|[[152ed5]]
|
|Every other note of [[131edo]], getting ~.001 cent sharper as it ascends the scale
|-
|-
| | [[153ed5]]
| | [[153ed5]]
| | [[66edo]]
| | [[66edo]]
| | Same 1.9 cent octave stretch as 51ed5~22edo. Patent vals match through the 13-limit, with the exception of 3.
| | Same 1.9 cent octave stretch as 51ed5~22edo. Patent vals match through the 13-limit, with the exception of 3.
|-
|[[154ed5]]
|
|Same rough correspondence as 133ed5~57edo
|-
|[[155ed5]]
|
|Every fourth note of [[267edo]], getting ~.001 cent flatter as it ascends the scale
|-
|[[156ed5]]
|[[67edo]]
|156ed5 is 67edo with ~3.3 cent compressed octaves. Patent vals match through the 11-limit, with the exception of 7
|-
|[[157ed5]]
|
|Every other note of [[135edo]], getting ~.03 cent flatter as it ascends the scale
|-
|-
| | [[158ed5]]
| | [[158ed5]]
| | [[68edo]]
| | [[68edo]]
| | Same 0.83 cent octave compression as 79ed5~34edo. Patent vals agree through the 23-limit.
| | Same 0.83 cent octave compression as 79ed5~34edo. Patent vals agree through the 23-limit.
|-
|[[159ed5]]
|
|Every other note of [[137edo]], getting ~.006 cent sharper as it ascends the scale
|-
|-
| | [[160ed5]]
| | [[160ed5]]
| | [[69edo]]
| | [[69edo]]
| | 160ed5 is 69edo with ~1.6 cent stretched octaves. Patent vals differ in the 7-limit.
| | 160ed5 is 69edo with ~1.6 cent stretched octaves. Patent vals differ in the 7-limit.
|-
|[[161ed5]]
|
|Same 11 cent octave stretch as 23ed5~10edo, but really matches the tuning with generator 3\208 of an octave.
|-
|[[162ed5]]
|
|Every third note of [[209edo]], getting ~.025 cent flatter as it ascends the scale
|-
|[[163ed5]]
|[[70edo]]
|163ed5 is 70edo with ~3.4 cent compressed octaves. Patent vals match through the 7-limit.
|-
|[[164ed5]]
|
|Every other note of [[141edo]], getting ~.03 cent flatter as it ascends the scale
|-
|-
| | [[165ed5]]
| | [[165ed5]]
| | [[71edo]]
| | [[71edo]]
| | 165ed5 is 71edo with ~1.0 cent compressed octaves. Patent vals match through the 37-limit.
| | 165ed5 is 71edo with ~1.0 cent compressed octaves. Patent vals match through the 37-limit.
|-
|[[166ed5]]
|
|Every other note of [[143edo]], getting ~.02 cent sharper as it ascends the scale
|-
|-
| | [[167ed5]]
| | [[167ed5]]
| | [[72edo]]
| | [[72edo]]
| | 167ed5 is 72edo with ~1.3 cent stretched octaves. Patent vals agree through the 19-limit.
| | 167ed5 is 72edo with ~1.3 cent stretched octaves. Patent vals agree through the 19-limit.
|-
|[[168ed5]]
|
|Same rough correspondence as 133ed5~57edo
|-
|[[169ed5]]
|
|Every third note of [[218edo]], getting ~.03 cent flatter as it ascends the scale
|-
|[[170ed5]]
|[[73edo]]
|170ed5 is 73edo with ~3.5 cent compressed octaves, but the correspondence is rough. Patent vals match through the 7-limit.
|-
|[[171ed5]]
|
|Every other note of [[147edo]], getting ~.03 cent flatter as it ascends the scale
|-
|-
| | [[172ed5]]
| | [[172ed5]]
| | [[74edo]]
| | [[74edo]]
| | Same 1.2 cent octave compression as 86ed5~37edo. Patent vals agree through the 13-limit.
| | Same 1.2 cent octave compression as 86ed5~37edo. Patent vals agree through the 13-limit.
|-
|[[173ed5]]
|
|Every other note of [[149edo]], getting ~.0015 cent flatter as it ascends the scale
|-
|-
| | [[174ed5]]
| | [[174ed5]]
| | [[75edo]]
| | [[75edo]]
| | Same 1.0 cent octave stretch as 58ed5~25edo. Patent vals differ in the 7-limit.
| | Same 1.0 cent octave stretch as 58ed5~25edo. Patent vals differ in the 7-limit.
|-
|[[175ed5]]
|
|Every other note of [[151edo]], getting ~.03 cent flatter as it ascends the scale
|-
|[[176ed5]]
|[[76edo]]
|Same 3.2 cent octave stretch as 44ed5~19edo. Patent vals differ in the 11-limit.
|-
|[[177ed5]]
|
|Every fourth note of [[305edo]], getting ~.004 cent sharper as it ascends the scale
|-
|[[178ed5]]
|
|Every third note of [[230edo]], getting ~.001 cent sharper as it ascends the scale
|-
|-
| | [[179ed5]]
| | [[179ed5]]
| | [[77edo]]
| | [[77edo]]
| | 179ed5 is 77edo with ~1.4 cent compressed octaves. Patent vals match through the 19-limit, with the exception of 11.
| | 179ed5 is 77edo with ~1.4 cent compressed octaves. Patent vals match through the 19-limit, with the exception of 11.
|-
|[[180ed5]]
|
|Same ~7.4 cent octave stretch as 30ed5~13edo, but really matches the tuning with generator 2\155 of an octave.
|-
|-
| | [[181ed5]]
| | [[181ed5]]
| | [[78edo]]
| | [[78edo]]
| | 181ed5 is 78edo with ~0.73 cent stretched octaves. Patent vals match through the 59-limit, with the exception of 13.
| | 181ed5 is 78edo with ~0.73 cent stretched octaves. Patent vals match through the 59-limit, with the exception of 13.
|-
|[[182ed5]]
|
|Same ~5.9 cent octave compression as 91ed5~39edo, but really matches the tuning with generator 5\392 of an octave.
|-
|[[183ed5]]
|[[79edo]]
|183ed5 is 79edo with ~2.8 cent compressed octaves. Patent vals match through the 11-limit, with the exception of 7
|-
|[[184ed5]]
|
|Same 11 cent octave stretch as 23ed5~10edo, but really matches the tuning with generator 4\317 of an octave.
|-
|[[185ed5]]
|
|Same 4.9 cent octave stretch as 37ed5~16edo, but really matches the tuning with generator 3\239 of an octave.
|-
|-
| | [[186ed5]]
| | [[186ed5]]
| | [[80edo]]
| | [[80edo]]
| | Same 1.6 cent octave compression as 93ed5~40edo. Patent vals agree through the 29-limit.
| | Same 1.6 cent octave compression as 93ed5~40edo. Patent vals agree through the 29-limit.
|-
|[[187ed5]]
|
|Every other note of [[161edo]], getting ~.007 cent flatter as it ascends the scale
|-
|-
| | [[188ed5]]
| | [[188ed5]]
| | [[81edo]]
| | [[81edo]]
| | 188ed5 is 81edo with ~0.49 cent stretched octaves. Patent vals match through the 41-limit.
| | 188ed5 is 81edo with ~0.49 cent stretched octaves. Patent vals match through the 41-limit.
|-
|[[189ed5]]
|
|Every other note of [[163edo]], getting ~.002 cent sharper as it ascends the scale
|-
|[[190ed5]]
|[[82edo]]
|Same 2.5 cent octave stretch as 95ed5~41edo. Patent vals match through the 11-limit, with the exception of 13 and 17
|-
|[[191ed5]]
|
|Every fourth note of [[329edo]], getting ~.002 cent flatter as it ascends the scale
|-
|[[192ed5]]
|
|Every third note of [[248edo]], getting ~.01 cent flatter as it ascends the scale
|-
|-
| | [[193ed5]]
| | [[193ed5]]
| | [[83edo]]
| | [[83edo]]
| | 193ed5 is 83edo with ~1.7 cent compressed octaves. Patent vals match through the 7-limit.
| | 193ed5 is 83edo with ~1.7 cent compressed octaves. Patent vals match through the 7-limit.
|-
|[[194ed5]]
|
|Every other note of [[167edo]], getting ~.009 cent flatter as it ascends the scale
|-
|-
| | [[195ed5]]
| | [[195ed5]]
| | [[84edo]]
| | [[84edo]]
| | Same 0.26 cent octave stretch as 65ed5~28edo. Patent vals agree through the 31-limit.
| | Same 0.26 cent octave stretch as 65ed5~28edo. Patent vals agree through the 31-limit.
|-
|[[196ed5]]
|
|Every other note of 169edo, getting ~.015 cent sharper as it ascends the scale
|-
|[[197ed5]]
|[[85edo]]
|197ed5 is 85edo with ~2.2 cent stretched octaves.Patent vals match alternate primes through the 17-limit.
|-
|[[198ed5]]
|
|Every fourth note of [[341edo]], getting ~.004 cent flatter as it ascends the scale
|-
|[[199ed5]]
|
|Every third note of [[257edo]], getting ~.007 cent flatter as it ascends the scale
|-
|[[200ed5]]
|[[86edo]]
|Same 1.9 cent octeave compression as 100ed5~43edo. Patent vals match alternate primes through the 17-limit.
|-
|[[201ed5]]
|
|Every other note of [[173edo]], getting ~.001 cent flatter as it ascends the scale
|-
|-
| | [[202ed5]]
| | [[202ed5]]
| | [[87edo]]
| | [[87edo]]
| | 202ed5 is 87edo with ~0.05 cent stretched octaves. Patent vals match through the 71-limit.
| | 202ed5 is 87edo with ~0.05 cent stretched octaves. Patent vals match through the 71-limit.
|-
|[[203ed5]]
|
|Every other note of [[175edo]], getting ~.002 cent sharper as it ascends the scale
|-
|[[204ed5]]
|[[88edo]]
|Same 1.9 cent octave stretch as 51ed5~22edo. Patent vals match through the 7-limit.
|-
|[[205ed5]]
|
|Every fourth note of [[353edo]], getting ~.006 cent flatter as it ascends the scale
|-
|[[206ed5]]
|
|Every third note of [[266edo]], getting ~.008 cent flatter as it ascends the scale
|-
|[[207ed5]]
|[[89edo]]
|207ed5 is 89edo with ~2 cent compressed octaves. Patent vals match through the 23, with the exception of 13 and19.
|-
|[[208ed5]]
|
|Every other note of [[179edo]], getting ~.01 cent flatter as it ascends the scale
|-
|-
| | [[209ed5]]
| | [[209ed5]]
| | [[90edo]]
| | [[90edo]]
| | 209ed5 is 90edo with ~0.15 cent compressed octaves. Patent vals match through the 53-limit.
| | 209ed5 is 90edo with ~0.15 cent compressed octaves. Patent vals match through the 53-limit.
|-
|[[210ed5]]
|
|Every other note of [[181edo]], getting ~.0085 cent sharper as it ascends the scale
|-
|-
| | [[211ed5]]
| | [[211ed5]]
| | [[91edo]]
| | [[91edo]]
| | 211ed5 is 91edo with ~1.7 cent stretched octaves. Patent vals match through the 7-limit.
| | 211ed5 is 91edo with ~1.7 cent stretched octaves. Patent vals match through the 7-limit.
|-
|[[212ed5]]
|
|Every third note of [[274edo]], getting ~.004 cent sharper as it ascends the scale
|-
|[[213ed5]]
|
|Every fourth note of [[367edo]], getting ~.002 cent sharper as it ascends the scale
|-
|[[214ed5]]
|[[92edo]]
|Same 2.1 cent octave compression as 107ed5~46edo, but the correspondence is rough. Patent vals match through the 5-limit.
|-
|[[215ed5]]
|
|Every other note of [[185edo]], getting ~.13 cent flatter as it ascends the scale
|-
|-
| | [[216ed5]]
| | [[216ed5]]
| | [[93edo]]
| | [[93edo]]
| | Same 0.34 cent octave compression as 72ed5~31edo. Patent vals agree through the 31-limit.
| | Same 0.34 cent octave compression as 72ed5~31edo. Patent vals agree through the 31-limit.
|-
|[[217ed5]]
|
|Every other note of [[187edo]], getting ~.006 cent sharper as it ascends the scale
|-
|-
| | [[218ed5]]
| | [[218ed5]]
| | [[94edo]]
| | [[94edo]]
| | Same 1.4 cent octave stretch as 109ed5~47edo. Patent vals match through the 23-limit, with the exception of 13.
| | Same 1.4 cent octave stretch as 109ed5~47edo. Patent vals match through the 23-limit, with the exception of 13.
|-
|[[219ed5]]
|
|Every third note of [[286edo]], getting ~.135 cent sharper as it ascends the scale
|-
|[[220ed5]]
|
|Same 3.2 cent octave stretch as 44ed5~19edo, but really matches the tuning with generator 3\379 of an octave..
|-
|[[221ed5]]
|[[95edo]]
|221ed5 is 95edo with ~2.3 cent compressed octaves. Patent vals match through the 29-limit with the exception of 13 and 23
|-
|[[222edo]]
|
|Every other note of [[191edo]], getting ~.01 cent flatter as it ascends the scale
|-
|-
| | [[223ed5]]
| | [[223ed5]]
| | [[96edo]]
| | [[96edo]]
| | 223ed5 is 96edo with ~0.51 cent compressed octaves. Patent vals match through the 13-limit.
| | 223ed5 is 96edo with ~0.51 cent compressed octaves. Patent vals match through the 13-limit.
|-
|[[224ed5]]
|
|Every other note of [[193edo]], getting ~.004 cent sharper as it ascends the scale
|-
|-
| | [[225ed5]]
| | [[225ed5]]
| | [[97edo]]
| | [[97edo]]
| | 225ed5 is 97edo with ~1.2 cent stretched octaves. Patent vals match through the 19-limit, with the exception of 11.
| | 225ed5 is 97edo with ~1.2 cent stretched octaves. Patent vals match through the 19-limit, with the exception of 11.
|-
|[[226edo]]
|
|Every third note of [[292edo]], getting ~.000055 cent sharper as it ascends the scale
|-
|[[227ed5]]
|
|Every fourth note of [[391edo]], getting ~.002 cent flatter as it ascends the scale
|-
|[[228ed5]]
|[[98edo]]
|Same 2.4 octave compression as 114ed5~49edo, but the correspondence is rough. Patent vals match through the 5-limit with the exception of 3.
|-
|[[229ed5]]
|
|Every other note of [[197edo]], getting ~.015 cent flatter as it ascends the scale
|-
|-
| | [[230ed5]]
| | [[230ed5]]
| | [[99edo]]
| | [[99edo]]
| | 230ed5 is 99edo with ~0.67 cent compressed octaves. Patent vals match through the 7-limit.
| | 230ed5 is 99edo with ~0.67 cent compressed octaves. Patent vals match through the 7-limit.
|-
|[[231ed5]]
|
|Every other note of [[199edo]], getting ~.002 cent sharper as it ascends the scale
|-
|-
| | [[232ed5]]
| | [[232ed5]]
| | [[100edo]]
| | [[100edo]]
| | Same 1.0 cent octave stretch as 58ed5~25edo. Patent vals match through the 13-limit.
| | Same 1.0 cent octave stretch as 58ed5~25edo. Patent vals match through the 13-limit.
|-
|[[233ed5]]
|
|Every third note of [[301edo]], getting ~.0002 cent flatter as it ascends the scale
|-
|[[234edo]]
|
|Every fourth note of [[403edo]], getting ~.003 cent flatter as it ascends the scale
|-
|[[235ed5]]
|[[101edo]]
|235ed5 is 101edo with ~2.5 cent compressed octaves. Patent vals match through the 19-limit, with the exception of 13 and 17.
|-
|[[236ed5]]
|
|Same 4.25 cent octave compression as 118ed5~51edo, but really matches the tuning with generator 2\203 of an octave
|-
|-
| | [[237ed5]]
| | [[237ed5]]
| | [[102edo]]
| | [[102edo]]
| | Same 0.83 cent octave compression as 79ed5~34edo. Patent vals differ in the 7-limit.
| | Same 0.83 cent octave compression as 79ed5~34edo. Patent vals differ in the 7-limit.
|-
|[[238ed5]]
|
|Every other note of [[205edo]], getting ~.0001 cent flatter as it ascends the scale
|-
|-
| | [[239ed5]]
| | [[239ed5]]
Line 811: Line 1,323:
*[[Pentave_Reduced_Harmonics|Pentave Reduced Harmonics]]
*[[Pentave_Reduced_Harmonics|Pentave Reduced Harmonics]]
*[[Pentave_Reduced_Subharmonics|Pentave Reduced Subharmonics]]
*[[Pentave_Reduced_Subharmonics|Pentave Reduced Subharmonics]]
*http://www.nonoctave.com/tuning/fifth_harmonic.html   [[Category:Ed5| ]] <!-- main article -->
*http://www.nonoctave.com/tuning/fifth_harmonic.html     [[Category:Ed5| ]] <!-- main article -->
[[Category:Equal-step tuning]]
[[Category:Equal-step tuning]]
[[Category:Overview]]
[[Category:Overview]]


[[Category:todo:add_sound_examples]]
[[Category:todo:add_sound_examples]]
Retrieved from "https://en.xen.wiki/w/ED5"