3L 7s: Difference between revisions

(6 intermediate revisions by 4 users not shown)

Line 1:

{{Interwiki

|en=3L 7s

|es=

|de=

|ja=3L 7s

}}

{{Infobox MOS

| Name = sephiroid

Line 14:

Line 20:

== Scale properties ==

=== Intervals ===

=== Generator chain ===

=== Modes ===

=== 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 = [[Buzzardsmic clan#Demibuzzard|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~~

| 11/3 = [[Muggles]]

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

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

| 9/2 = Magic / witchcraft / necromancy

| 5/1 = Magic / telepathy

| 6/1 = [[Würschmidt]] ↓

}}

@@ Line 1: / Line 1: @@
+{{Interwiki
+|en=3L 7s
+|es=
+|de=
+|ja=3L 7s
+}}
 {{Infobox MOS
 | Name = sephiroid
@@ Line 14: / Line 20: @@
 == Scale properties ==
 {{TAMNAMS use}}
-{{MOS data}}
+=== 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 = [[Buzzardsmic clan#Demibuzzard|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
+| 11/3 = [[Muggles]]
-| 13/8 = Unnamed golden tuning
+| 4/1 = [[Magic]] / horcrux
+| 9/2 = Magic / witchcraft / necromancy
+| 5/1 = Magic / telepathy
+| 6/1 = [[Würschmidt]] ↓
 }}