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This page is for xen-related tables that I've made but don't have an exact place elsewhere on the wiki (yet).
This page is for xen-related tables that I've made but don't have an exact place elsewhere on the wiki (yet).
== Golden ratio tunings of mosses ==
{| class="wikitable"
!Parent scale
!Child scale
!Grandchild scale
!Great-grandchild scale
!4th-order descendant
!5th-order descendant
!6-order descendant
|-
!xL ys
!(x+y)L xs
!(2x+y)L (x+y)s
!(3x+2y)L (2x+y)s
!(5x+3y)L (3x+2y)s
!(8x+5y)L (5x+3y)s
!(13x+8y)L (8x+5y)s
|-
! colspan="7" |
|-
|1L 5s
|6L 1s
|7L 6s
|13L 7s
|20L 13s
|33L 20s
|53L 33s
|-
|2L 4s
|6L 2s
|8L 6s
|14L 8s
|22L 14s
|36L 22s
|58L 36s
|-
|3L 3s
|6L 3s
|9L 6s
|15L 9s
|24L 15s
|39L 24s
|63L 39s
|-
|4L 3s
|7L 4s
|11L 7s
|18L 11s
|29L 18s
|47L 29s
|76L 47s
|-
|5L 1s
|6L 5s
|11L 6s
|17L 11s
|28L 17s
|45L 28s
|73L 45s
|-
! colspan="7" |
|-
|1L 6s
|7L 1s
|8L 7s
|15L 8s
|23L 15s
|38L 23s
|61L 38s
|-
|2L 5s
|7L 2s
|9L 7s
|16L 9s
|25L 16s
|41L 25s
|66L 41s
|-
|3L 4s
|7L 3s
|10L 7s
|17L 10s
|27L 17s
|44L 27s
|71L 44s
|-
|4L 3s
|7L 4s
|11L 7s
|18L 11s
|29L 18s
|47L 29s
|76L 47s
|-
|5L 2s
|7L 5s
|12L 7s
|19L 12s
|31L 19s
|50L 31s
|81L 50s
|-
|6L 1s
|7L 6s
|13L 7s
|20L 13s
|33L 20s
|53L 33s
|86L 53s
|-
! colspan="7" |
|-
|1L 7s
|8L 1s
|9L 8s
|17L 9s
|26L 17s
|43L 26s
|69L 43s
|-
|2L 6s
|8L 2s
|10L 8s
|18L 10s
|28L 18s
|46L 28s
|74L 46s
|-
|3L 5s
|8L 3s
|11L 8s
|19L 11s
|30L 19s
|49L 30s
|79L 49s
|-
|4L 4s
|8L 4s
|12L 8s
|20L 12s
|32L 20s
|52L 32s
|84L 52s
|-
|5L 3s
|8L 5s
|13L 8s
|21L 13s
|34L 21s
|55L 34s
|89L 55s
|-
|6L 2s
|8L 6s
|14L 8s
|22L 14s
|36L 22s
|58L 36s
|94L 58s
|-
|7L 1s
|8L 7s
|15L 8s
|23L 15s
|38L 23s
|61L 38s
|99L 61s
|-
! colspan="7" |
|-
|1L 8s
|9L 1s
|10L 9s
|19L 10s
|29L 19s
|48L 29s
|77L 48s
|-
|2L 7s
|9L 2s
|11L 9s
|20L 11s
|31L 20s
|51L 31s
|82L 51s
|-
|3L 6s
|9L 3s
|12L 9s
|21L 12s
|33L 21s
|54L 33s
|87L 54s
|-
|4L 5s
|9L 4s
|13L 9s
|22L 13s
|35L 22s
|57L 35s
|92L 57s
|-
|5L 4s
|9L 5s
|14L 9s
|23L 14s
|37L 23s
|60L 37s
|97L 60s
|-
|6L 3s
|9L 6s
|15L 9s
|24L 15s
|39L 24s
|63L 39s
|102L 63s
|-
|7L 2s
|9L 7s
|16L 9s
|25L 16s
|41L 25s
|66L 41s
|107L 66s
|-
|8L 1s
|9L 8s
|17L 9s
|26L 17s
|43L 26s
|69L 43s
|112L 69s
|-
! colspan="7" |
|-
|1L 9s
|10L 1s
|11L 10s
|21L 11s
|32L 21s
|53L 32s
|85L 53s
|-
|2L 8s
|10L 2s
|12L 10s
|22L 12s
|34L 22s
|56L 34s
|90L 56s
|-
|3L 7s
|10L 3s
|13L 10s
|23L 13s
|36L 23s
|59L 36s
|95L 59s
|-
|4L 6s
|10L 4s
|14L 10s
|24L 14s
|38L 24s
|62L 38s
|100L 62s
|-
|5L 5s
|10L 5s
|15L 10s
|25L 15s
|40L 25s
|65L 40s
|105L 65s
|-
|6L 4s
|10L 6s
|16L 10s
|26L 16s
|42L 26s
|68L 42s
|110L 68s
|-
|7L 3s
|10L 7s
|17L 10s
|27L 17s
|44L 27s
|71L 44s
|115L 71s
|-
|8L 2s
|10L 8s
|18L 10s
|28L 18s
|46L 28s
|74L 46s
|120L 74s
|-
|9L 1s
|10L 9s
|19L 10s
|29L 19s
|48L 29s
|77L 48s
|125L 77s
|}


== Scale Table ==
== Scale Table ==
Line 334: Line 643:


=== Family tree limited to 10 notes and with up to 5 periods ===
=== Family tree limited to 10 notes and with up to 5 periods ===
Mosses whose children exceed 10 notes are shown in bold. (Stars indicate mosses whose descendants now bear at least a mos intro and infobox mos template. Double stars indicate mosses whose descendants already had those templates. Triple stars indicate that the mos's descendants lack a page.)
{| class="wikitable"
{| class="wikitable"
! colspan="18" |Family tree of single-period mosses, limited to 10-note scales
! colspan="18" |Family tree of single-period mosses, limited to 10-note scales
Line 382: Line 692:
| rowspan="2" |1L 8s
| rowspan="2" |1L 8s
| rowspan="2" |antisubneutralic
| rowspan="2" |antisubneutralic
|1L 9s
|[[1L 9s]]
|antisinatonic
|'''antisinatonic *'''
|-
|-
|9L 1s
|[[9L 1s]]
|sinatonic
|'''sinatonic *'''
|-
|-
|8L 1s
|[[8L 1s]]
|subneutralic
|'''subneutralic **'''
| colspan="2" rowspan="14" |
| colspan="2" rowspan="14" |
|-
|-
|7L 1s
|[[7L 1s]]
|pine
|'''pine *'''
| colspan="2" rowspan="13" |
| colspan="2" rowspan="13" |
|-
|-
|6L 1s
|[[6L 1s]]
|archeotonic
|'''archaeotonic **'''
| colspan="2" rowspan="12" |
| colspan="2" rowspan="12" |
|-
|-
|5L 1s
|[[5L 1s]]
|machinoid
|'''machinoid *'''
| colspan="2" rowspan="11" |
| colspan="2" rowspan="11" |
|-
|-
| rowspan="2" |4L 1s
| rowspan="2" |4L 1s
| rowspan="2" |manual
| rowspan="2" |manual
|5L 4s
|[[5L 4s]]
|semiquartal
|'''semiquartal *'''
|-
|-
|4L 5s
|[[4L 5s]]
|gramitonic
|'''gramitonic *'''
|-
|-
| rowspan="3" |3L 1s
| rowspan="3" |3L 1s
| rowspan="3" |tetric
| rowspan="3" |tetric
|4L 3s
|[[4L 3s]]
|smitonic
|'''smitonic *'''
| colspan="2" |
| colspan="2" |
|-
|-
| rowspan="2" |3L 4s
| rowspan="2" |3L 4s
| rowspan="2" |mosh
| rowspan="2" |mosh
|7L 3s
|[[7L 3s]]
|dicoid
|'''dicoid *'''
|-
|-
|3L 7s
|[[3L 7s]]
|sephiroid
|'''sephiroid *'''
|-
|-
| rowspan="5" |2L 1s
| rowspan="5" |2L 1s
Line 430: Line 740:
| rowspan="2" |3L 2s
| rowspan="2" |3L 2s
| rowspan="2" |antipentic
| rowspan="2" |antipentic
|3L 5s
|[[3L 5s]]
|checkertonic
|'''checkertonic *'''
| colspan="2" rowspan="3" |
| colspan="2" rowspan="3" |
|-
|-
|5L 3s
|[[5L 3s]]
|oneirotonic
|'''oneirotonic **'''
|-
|-
| rowspan="3" |2L 3s
| rowspan="3" |2L 3s
| rowspan="3" |pentic
| rowspan="3" |pentic
|5L 2s
|[[5L 2s]]
|diatonic
|'''diatonic *'''
|-
|-
| rowspan="2" |2L 5s
| rowspan="2" |2L 5s
| rowspan="2" |antidiatonic
| rowspan="2" |antidiatonic
|7L 2s
|[[7L 2s]]
|superdiatonic
|'''armotonic **'''
|-
|-
|2L 7s
|[[2L 7s]]
|balzano
|'''balzano *'''
|-
|-
! colspan="18" |Family tree of 2-period mosses, limited to 10-note scales
! colspan="18" |Family tree of 2-period mosses, limited to 10-note scales
Line 473: Line 783:
| rowspan="2" |2L 6s
| rowspan="2" |2L 6s
| rowspan="2" |subaric
| rowspan="2" |subaric
|2L 8s
|[[2L 8s]]
|jaric
|'''jaric *'''
| colspan="10" rowspan="5" |
| colspan="10" rowspan="5" |
|-
|-
|8L 2s
|[[8L 2s]]
|taric
|'''taric ***'''
|-
|-
|6L 2s
|[[6L 2s]]
|ekic
|'''ekic **'''
| colspan="2" rowspan="3" |
| colspan="2" rowspan="3" |
|-
|-
| rowspan="2" |4L 2s
| rowspan="2" |4L 2s
| rowspan="2" |citric
| rowspan="2" |citric
|6L 4s
|[[6L 4s]]
|lemon
|'''lemon *'''
|-
|-
|4L 6s
|[[4L 6s]]
|lime
|'''lime *'''
|-
|-
! colspan="18" |Family tree of 3-period mosses, limited to 10-note scales
! colspan="18" |Family tree of 3-period mosses, limited to 10-note scales
Line 505: Line 815:
| rowspan="2" |3L 3s
| rowspan="2" |3L 3s
| rowspan="2" |triwood
| rowspan="2" |triwood
|3L 6s
|[[3L 6s]]
|tcherepnin
|'''tcherepnin *'''
| colspan="14" rowspan="2" |
| colspan="14" rowspan="2" |
|-
|-
|6L 3s
|[[6L 3s]]
|hyrulic
|'''hyrulic *'''
|-
|-
! colspan="18" |Family tree of 4-period mosses, limited to 10-note scales
! colspan="18" |Family tree of 4-period mosses, limited to 10-note scales
Line 520: Line 830:
!Name
!Name
|-
|-
|4L 4s
|[[4L 4s]]
|tetrawood, diminished
|'''tetrawood **'''
| colspan="16" |
| colspan="16" |
|-
|-
Line 532: Line 842:
!Name
!Name
|-
|-
|5L 5s
|[[5L 5s]]
|pentawood
|'''pentawood *'''
| colspan="16" |
| colspan="16" |
|}
|}
Line 727: Line 1,037:
{| class="wikitable"
{| class="wikitable"
! colspan="2" rowspan="2" |Edos of 5L 2s
! colspan="2" rowspan="2" |Edos of 5L 2s
! colspan="11" |Large step size (L)
! colspan="11" |Small step size (s)
|-
|-
!0
!0
Line 741: Line 1,051:
!10
!10
|-
|-
! rowspan="11" |Small step size (s)
! rowspan="11" |Large step size (L)
!0
!0
|''0''
|'''0'''
|''5''
|''10''
|''15''
|''20''
|''25''
|''30''
|''35''
|''40''
|''45''
|''50''
|-
!1
|
|
|'''7'''
|12
|17
|22
|27
|32
|37
|42
|47
|52
|-
!2
|
|
|
|
|'''14'''
|19
|24
|29
|34
|39
|44
|49
|54
|-
!3
|
|
|
|
|
|
|'''21'''
|26
|31
|36
|41
|46
|51
|56
|-
!4
|
|
|
|
|
|
|
|
|'''28'''
|33
|38
|43
|48
|53
|58
|-
|-
!5
!1
|
|''5''
|
|'''7'''
|
|
|
|
|
|
|'''35'''
|40
|45
|50
|55
|60
|-
!6
|
|
|
|
Line 827: Line 1,077:
|
|
|
|
|'''42'''
|47
|52
|57
|62
|-
|-
!7
!2
|''10''
|12
|'''14'''
|
|
|
|
|
Line 841: Line 1,090:
|
|
|
|
|'''49'''
|54
|59
|64
|-
|-
!8
!3
|''15''
|17
|19
|'''21'''
|
|
|
|
|
Line 853: Line 1,103:
|
|
|
|
|-
!4
|''20''
|22
|24
|26
|'''28'''
|
|
|
|
|'''56'''
|61
|66
|-
!9
|
|
|
|
|
|
|
|
|-
!5
|''25''
|27
|29
|31
|33
|'''35'''
|
|
|
|
Line 869: Line 1,129:
|
|
|
|
|'''63'''
|68
|-
|-
!10
!6
|''30''
|32
|34
|36
|38
|40
|'''42'''
|
|
|
|
|
|
|
|
|-
!7
|''35''
|37
|39
|41
|43
|45
|47
|'''49'''
|
|
|
|
|
|
|-
!8
|''40''
|42
|44
|46
|48
|50
|52
|54
|'''56'''
|
|
|
|
|-
!9
|''45''
|47
|49
|51
|53
|55
|57
|59
|61
|'''63'''
|
|
|-
!10
|''50''
|52
|54
|56
|58
|60
|62
|64
|66
|68
|'''70'''
|'''70'''
|}
|}
An alternate table shows mosses where L:s = 2:1 is on the diagonal, dividing the table into a soft half and a hard half. Here, two additional diagonals are shown in '''bold''', one each for L:s = 3:1 and L:s = 3:2. Columns represent chroma size rather than large step size.
An alternate table shows mosses where L:s = 2:1 is on the diagonal, dividing the table into a soft half and a hard half. Here, two additional diagonals are shown in '''bold''', one each for L:s = 3:1 and L:s = 3:2. Rows represent chroma size rather than large step size.
{| class="wikitable"
{| class="wikitable"
! colspan="2" rowspan="2" |Edos of 5L 2s
! colspan="2" rowspan="2" |Edos of 5L 2s
! colspan="11" |<nowiki>Size of |L-s| (chroma)</nowiki>
! colspan="11" |Small step size (s)
(Add chroma and s to get L)
|-
|-
!0
!0
Line 903: Line 1,212:
!10
!10
|-
|-
! rowspan="11" |Small step size
! rowspan="11" |Chroma size
<nowiki>|L-s|</nowiki>
!0
!0
|''0''
|'''0'''
|''5''
|''7''
|''10''
|''14''
|''15''
|''21''
|''20''
|''28''
|''25''
|''30''
|''35''
|''35''
|''40''
|''42''
|''45''
|''49''
|''50''
|''56''
|''63''
|''70''
|-
|-
!1
!1
|''7''
|''5''
|'''12'''
|'''12'''
|'''17'''
|'''19'''
|22
|26
|27
|33
|32
|40
|37
|42
|47
|47
|52
|54
|57
|61
|68
|75
|-
|-
!2
!2
|''14''
|''10''
|'''19'''
|'''17'''
|'''24'''
|'''24'''
|29
|31
|'''34'''
|'''38'''
|39
|45
|44
|52
|49
|54
|59
|59
|64
|66
|73
|80
|-
|-
!3
!3
|''21''
|''15''
|26
|22
|31
|29
|'''36'''
|'''36'''
|41
|43
|46
|50
|'''51'''
|'''57'''
|56
|64
|61
|66
|71
|71
|78
|85
|-
|-
!4
!4
|''28''
|''20''
|33
|27
|'''38'''
|'''34'''
|43
|41
|'''48'''
|'''48'''
|53
|55
|58
|62
|63
|69
|'''68'''
|'''76'''
|73
|83
|78
|90
|-
|-
!5
!5
|''35''
|''25''
|40
|32
|45
|39
|50
|46
|55
|53
|'''60'''
|'''60'''
|65
|67
|70
|74
|75
|81
|80
|88
|'''85'''
|'''95'''
|-
|-
!6
!6
|''42''
|''30''
|47
|37
|52
|44
|'''57'''
|'''51'''
|62
|58
|67
|65
|'''72'''
|'''72'''
|77
|79
|82
|86
|87
|93
|92
|100
|-
|-
!7
!7
|''49''
|''35''
|54
|42
|59
|49
|64
|56
|69
|63
|74
|70
|79
|77
|'''84'''
|'''84'''
|89
|91
|94
|98
|99
|105
|-
|-
!8
!8
|''56''
|''40''
|47
|54
|61
|61
|66
|'''68'''
|71
|75
|'''76'''
|82
|81
|89
|86
|91
|'''96'''
|'''96'''
|101
|103
|106
|110
|-
|-
!9
!9
|''63''
|''45''
|68
|52
|59
|66
|73
|73
|78
|80
|83
|87
|88
|94
|93
|101
|98
|103
|'''108'''
|'''108'''
|113
|115
|-
|-
!10
!10
|''70''
|''50''
|75
|57
|80
|64
|85
|71
|90
|78
|'''95'''
|'''85'''
|100
|92
|105
|99
|110
|106
|115
|113
|'''120'''
|'''120'''
|}
|}
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