53edo: Difference between revisions

Line 668:

{| class="wikitable center-all"

! colspan="2" |

!prime 2

! prime 2

!prime 3

! prime 3

!prime 5

! prime 5

!prime 7

! prime 7

!prime 11

! prime 11

!prime 13

! prime 13

!prime 17

! prime 17

!prime 19

! prime 19

!prime 23

! prime 23

|-

! rowspan="2" |Error

!absolute (¢)

! absolute (¢)

|0.0

| 0.0

| -0.07

| -1.41

Line 690:

| +5.69

|-

!relative (%)

! relative (%)

| 0.0

| -0.3

Line 702:

|-

! colspan="2" |[[fifthspan]]

|0

| 0

| +1

| -8

Line 712:

| +18

|}

The following table shows how [[15-odd-limit|some prominent just intervals]] are represented in 53edo (ordered by absolute error). Octave-reduced prime harmonics are '''bolded'''.

{| class="wikitable center-all"

|-

! ~~'''~~Interval, complement~~'''~~

! Interval, complement

! ~~'''~~Error (abs., in [[cent]]s)~~'''~~

! Error (abs., in [[cent]]s)

|-

| '''[[4/3]], [[3/2|3/2]]'''

Line 787:

| '''7.922'''

|-

| [[14/11]], [[11/7]]

| ''[[14/11]], [[11/7]]''

| ''9.961''

|}

== Linear temperaments ==

[[~~List_of_edo-distinct_53et_rank_two_temperaments|~~List of edo-distinct 53et rank two temperaments]]

[[List of edo-distinct 53et rank two temperaments]]

== Music ==

[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/prelude1-53.mp3 Bach WTC1 Prelude 1 in 53] by Bach and [[~~Mykhaylo_Khramov|~~Mykhaylo Khramov]]

[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/prelude1-53.mp3 Bach WTC1 Prelude 1 in 53] by Bach and [[Mykhaylo Khramov]]

[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/fugue1-53.mp3 Bach WTC1 Fugue 1 in 53] by Bach and Mykhaylo Khramov

[http://bumpermusic.blogspot.com/2007/05/whisper-song-in-53-edo-now-526-slower.html Whisper Song in 53EDO] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Prent/sing53-c5-slow.mp3 play] by [[~~Prent_Rodgers|~~Prent Rodgers]]

[http://bumpermusic.blogspot.com/2007/05/whisper-song-in-53-edo-now-526-slower.html Whisper Song in 53EDO] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Prent/sing53-c5-slow.mp3 play] by [[Prent Rodgers]]

[http://www.archive.org/details/TrioInOrwell Trio in Orwell] [http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3 play] by [[~~Gene_Ward_Smith|~~Gene Ward Smith]]

[http://www.archive.org/details/TrioInOrwell Trio in Orwell] [http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3 play] by [[Gene Ward Smith]]

[http://www.akjmusic.com/audio/desert_prayer.mp3 Desert Prayer] by [http://www.akjmusic.com/ Aaron Krister Johnson]

[http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/sing53-c5-slow.mp3 Whisper Song in 53 EDO] by [[~~Prent_Rodgers|~~Prent Rodgers]]

[http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/sing53-c5-slow.mp3 Whisper Song in 53 EDO] by [[Prent Rodgers]]

[http://andrewheathwaite.bandcamp.com/track/elf-dine-on-ho-ho Elf Dine on Ho Ho] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2005%20Elf%20Dine%20on%20Ho%20Ho.mp3 play] and [http://andrewheathwaite.bandcamp.com/track/spun Spun] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2008%20Spun.mp3 play] by [[~~Andrew_Heathwaite|~~Andrew Heathwaite]]

[http://andrewheathwaite.bandcamp.com/track/elf-dine-on-ho-ho Elf Dine on Ho Ho] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2005%20Elf%20Dine%20on%20Ho%20Ho.mp3 play] and [http://andrewheathwaite.bandcamp.com/track/spun Spun] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2008%20Spun.mp3 play] by [[Andrew Heathwaite]]

[http://chrisvaisvil.com/the-fallen-of-kleismic15/ The Fallen of Kleismic15][http://micro.soonlabel.com/53edo/20130903_Kleismic%5b15%5d.mp3 play] by [[~~Chris_Vaisvil|~~Chris Vaisvil]]

[http://chrisvaisvil.com/the-fallen-of-kleismic15/ The Fallen of Kleismic15][http://micro.soonlabel.com/53edo/20130903_Kleismic%5b15%5d.mp3 play] by [[Chris Vaisvil]]

[https://soundcloud.com/cam-taylor-2-1/mothers mothers] by Cam Taylor

@@ Line 668: / Line 668: @@
 {| class="wikitable center-all"
 ! colspan="2" |
-!prime 2
+! prime 2
-!prime 3
+! prime 3
-!prime 5
+! prime 5
-!prime 7
+! prime 7
-!prime 11
+! prime 11
-!prime 13
+! prime 13
-!prime 17
+! prime 17
-!prime 19
+! prime 19
-!prime 23
+! prime 23
 |-
 ! rowspan="2" |Error
-!absolute (¢)
+! absolute (¢)
-|0.0
+| 0.0
 | -0.07
 | -1.41
@@ Line 690: / Line 690: @@
 | +5.69
 |-
-!relative (%)
+! relative (%)
 | 0.0
 | -0.3
@@ Line 702: / Line 702: @@
 |-
 ! colspan="2" |[[fifthspan]]
-|0
+| 0
 | +1
 | -8
@@ Line 712: / Line 712: @@
 | +18
 |}
-The following table shows how [[15-odd-limit|some prominent just intervals]] are represented in 53edo (ordered by absolute error).  Octave-reduced prime harmonics are '''bolded'''.
+The following table shows how [[15-odd-limit|some prominent just intervals]] are represented in 53edo (ordered by absolute error). Octave-reduced prime harmonics are '''bolded'''.
 {| class="wikitable center-all"
 |-
-! '''Interval, complement'''
+! Interval, complement
-! '''Error (abs., in [[cent]]s)'''
+! Error (abs., in [[cent]]s)
 |-
 | '''[[4/3]], [[3/2|3/2]]'''
@@ Line 787: / Line 787: @@
 | '''7.922'''
 |-
-| [[14/11]], [[11/7]]
+| ''[[14/11]], [[11/7]]''
 | ''9.961''
 |}
 == Linear temperaments ==
-[[List_of_edo-distinct_53et_rank_two_temperaments|List of edo-distinct 53et rank two temperaments]]
+[[List of edo-distinct 53et rank two temperaments]]
 == Music ==
-[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/prelude1-53.mp3 Bach WTC1 Prelude 1 in 53] by Bach and [[Mykhaylo_Khramov|Mykhaylo Khramov]]
+[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/prelude1-53.mp3 Bach WTC1 Prelude 1 in 53] by Bach and [[Mykhaylo Khramov]]
 [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/fugue1-53.mp3 Bach WTC1 Fugue 1 in 53] by Bach and Mykhaylo Khramov
-[http://bumpermusic.blogspot.com/2007/05/whisper-song-in-53-edo-now-526-slower.html Whisper Song in 53EDO] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Prent/sing53-c5-slow.mp3 play] by [[Prent_Rodgers|Prent Rodgers]]
+[http://bumpermusic.blogspot.com/2007/05/whisper-song-in-53-edo-now-526-slower.html Whisper Song in 53EDO] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Prent/sing53-c5-slow.mp3 play] by [[Prent Rodgers]]
-[http://www.archive.org/details/TrioInOrwell Trio in Orwell] [http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3 play] by [[Gene_Ward_Smith|Gene Ward Smith]]
+[http://www.archive.org/details/TrioInOrwell Trio in Orwell] [http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3 play] by [[Gene Ward Smith]]
 [http://www.akjmusic.com/audio/desert_prayer.mp3 Desert Prayer] by [http://www.akjmusic.com/ Aaron Krister Johnson]
-[http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/sing53-c5-slow.mp3 Whisper Song in 53 EDO] by [[Prent_Rodgers|Prent Rodgers]]
+[http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/sing53-c5-slow.mp3 Whisper Song in 53 EDO] by [[Prent Rodgers]]
-[http://andrewheathwaite.bandcamp.com/track/elf-dine-on-ho-ho Elf Dine on Ho Ho] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2005%20Elf%20Dine%20on%20Ho%20Ho.mp3 play] and [http://andrewheathwaite.bandcamp.com/track/spun Spun] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2008%20Spun.mp3 play] by [[Andrew_Heathwaite|Andrew Heathwaite]]
+[http://andrewheathwaite.bandcamp.com/track/elf-dine-on-ho-ho Elf Dine on Ho Ho] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2005%20Elf%20Dine%20on%20Ho%20Ho.mp3 play] and [http://andrewheathwaite.bandcamp.com/track/spun Spun] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2008%20Spun.mp3 play] by [[Andrew Heathwaite]]
-[http://chrisvaisvil.com/the-fallen-of-kleismic15/ The Fallen of Kleismic15][http://micro.soonlabel.com/53edo/20130903_Kleismic%5b15%5d.mp3 play] by [[Chris_Vaisvil|Chris Vaisvil]]
+[http://chrisvaisvil.com/the-fallen-of-kleismic15/ The Fallen of Kleismic15][http://micro.soonlabel.com/53edo/20130903_Kleismic%5b15%5d.mp3 play] by [[Chris Vaisvil]]
 [https://soundcloud.com/cam-taylor-2-1/mothers mothers] by Cam Taylor