3L 7s: Difference between revisions

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{{Interwiki

| en = 3L 7s

| de =

| es =

| ja = 3L 7s

}}

{{Infobox MOS

| Name = sephiroid

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== Scale properties ==

=== Intervals ===

=== Generator chain ===

=== Modes ===

=== Proposed Names ===

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This MOS can represent tempered-flat chains of the 13th harmonic, which approximates phi (~833 cents).

With sephiroid scales with a soft-of-basic step ratio (around {nowrap|L:s {{=}} 3:2}}, or 23edo), the 17th and 21st harmonics are tempered toward most accurately, which together are a stable harmony. This is the major chord of the modi sephiratorum.

With sephiroid scales with a soft-of-basic step ratio (around {{nowrap|L:s {{=}} 3:2}}, or 23edo), the 17th and 21st harmonics are tempered toward most accurately, which together are a stable harmony. This is the major chord of the modi sephiratorum.

Scales approaching an equalized step ratio ({{nowrap|L:s {{=}} 1:1}}, or [[10edo]]) contain a 13th harmonic that's nearly perfect. [[121edo]] seems to be the first to 'accurately' represent the comma{{Clarify}}. Scales approaching a collapsed step ratio ({{nowrap|L:s {{=}} 1:0}}, or [[3edo]]) have the comma [[65/64]] liable to be tempered out, thus equating [[8/5]] and [[13/8]]. Edos include [[13edo]], [[16edo]], [[19edo]], [[22edo]], [[29edo]], and others.

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== Scale tree ==

{{MOS tuning spectrum

| ~~11/3 = Muggles~~

| 6/5 = [[Demibuzzard]]

~~| 4/1 = Magic/horcrux~~

| 13/8 = Unnamed golden tuning

~~| 9~~/~~2 = Magic/witchcraft~~

| 5/2 = [[Sephiroth]]

| 5/1 = ~~Magic/telepathy~~

| 6/1 = ~~Würschmidt ↓~~

| 5/2 = Sephiroth

| 13/5 = Golden sephiroth

| 6/5 = ~~Submajor~~

| 8/3 = [[Submerged]]

| 13/8 = ~~Unnamed golden tuning~~

| 11/3 = [[Muggles]]

| 4/1 = [[Magic]] / horcrux

| 9/2 = Magic / witchcraft / necromancy

| 5/1 = [[Brightstone]]

| 6/1 = [[Anthoine]]

}}

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+{{Interwiki
+| en = 3L 7s
+| de =
+| es =
+| ja = 3L 7s
+}}
 {{Infobox MOS
 | Name = sephiroid
@@ Line 14: / Line 20: @@
 == Scale properties ==
 {{TAMNAMS use}}
-{{MOS data|debug=1}}
+=== Intervals ===
+{{MOS intervals}}
+=== Generator chain ===
+{{MOS genchain}}
+=== Modes ===
+{{MOS mode degrees}}
 === Proposed Names ===
@@ Line 36: / Line 50: @@
 This MOS can represent tempered-flat chains of the 13th harmonic, which approximates phi (~833 cents).
-With sephiroid scales with a soft-of-basic step ratio (around {nowrap|L:s {{=}} 3:2}}, or 23edo), the 17th and 21st harmonics are tempered toward most accurately, which together are a stable harmony. This is the major chord of the modi sephiratorum.
+With sephiroid scales with a soft-of-basic step ratio (around {{nowrap|L:s {{=}} 3:2}}, or 23edo), the 17th and 21st harmonics are tempered toward most accurately, which together are a stable harmony. This is the major chord of the modi sephiratorum.
 Scales approaching an equalized step ratio ({{nowrap|L:s {{=}} 1:1}}, or [[10edo]]) contain a 13th harmonic that's nearly perfect. [[121edo]] seems to be the first to 'accurately' represent the comma{{Clarify}}. Scales approaching a collapsed step ratio ({{nowrap|L:s {{=}} 1:0}}, or [[3edo]]) have the comma [[65/64]] liable to be tempered out, thus equating [[8/5]] and [[13/8]]. Edos include [[13edo]], [[16edo]], [[19edo]], [[22edo]], [[29edo]], and others.
@@ Line 46: / Line 60: @@
 == Scale tree ==
 {{MOS tuning spectrum
-| 11/3 = Muggles
+| 6/5 = [[Demibuzzard]]
-| 4/1 = Magic/horcrux
+| 13/8 = Unnamed golden tuning
-| 9/2 = Magic/witchcraft
+| 5/2 = [[Sephiroth]]
-| 5/1 = Magic/telepathy
-| 6/1 = Würschmidt&nbsp;↓
-| 5/2 = Sephiroth
 | 13/5 = Golden sephiroth
-| 6/5 = Submajor
+| 8/3 = [[Submerged]]
-| 13/8 = Unnamed golden tuning
+| 11/3 = [[Muggles]]
+| 4/1 = [[Magic]] / horcrux
+| 9/2 = Magic / witchcraft / necromancy
+| 5/1 = [[Brightstone]]
+| 6/1 = [[Anthoine]]
 }}