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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.)
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 384: Line 693:
| 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]]
|'''archaeotonic'''
|'''archaeotonic **'''
| colspan="2" rowspan="12" |
| colspan="2" rowspan="12" |
|-
|-
Line 425: Line 734:
|-
|-
|[[3L 7s]]
|[[3L 7s]]
|'''sephiroid'''
|'''sephiroid *'''
|-
|-
| rowspan="5" |2L 1s
| rowspan="5" |2L 1s
Line 436: Line 745:
|-
|-
|[[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]]
|'''armotonic'''
|'''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 475: Line 784:
| 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" |
|-
|-
Line 488: Line 797:
| 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 507: Line 816:
| 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 522: Line 831:
|-
|-
|[[4L 4s]]
|[[4L 4s]]
|'''tetrawood'''
|'''tetrawood **'''
| colspan="16" |
| colspan="16" |
|-
|-
Line 534: Line 843:
|-
|-
|[[5L 5s]]
|[[5L 5s]]
|'''pentawood'''
|'''pentawood *'''
| colspan="16" |
| colspan="16" |
|}
|}
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