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{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
== Names ==
{{TAMNAMS name}}


== Names ==
== Scale properties ==
The [[TAMNAMS]] system uses the name '''archeotonic'''.
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}


== Notation ==
=== Modes ===
JKLMNOPJ = LLLsLLL (Horthathian mode), &/@ = chroma up/down
{{MOS mode degrees}}


== Modes ==
==== Proposed names ====
=== MOS modes ===
[[File:Archeotonic.png|alt=Archeotonic.png|Archeotonic.png]]
[[File:Archeotonic.png|alt=Archeotonic.png|Archeotonic.png]]
=== MODMOSes ===


== Temperaments ==
== Temperaments ==
There are two notable harmonic entropy minima with this [[MOS]] pattern. The first is [[Tetracot family|tetracot]], in which four generators make a 3/2, and the second is known as [[roulette7]], the seven note albitonic scale for the 2.5.7.11.13 subgroup temperament [[Chromatic pairs#Roulette|roulette]]. (Other temperaments like [[didacus]], [[luna]], [[hemithirds]], and [[hemiwürschmidt]] have very similar 7-note MOSes.)
There are two notable harmonic entropy minima with this [[MOS]] pattern. The first is [[Tetracot family|tetracot]], in which the generator is identified with [[10/9]] and four generators make a [[3/2]]. These produce very soft tunings of archaeotonic, ranging from 4:3 in [[27edo]] to 7:6 in [[48edo]]. The second is known as [[didacus]], which is at a basic level the temperament in the [[2.5.7 subgroup]] defined by [[3136/3125]], where two generators make [[5/4]] and five make [[7/4]], and produces very hard tunings, ranging from 4:1 in [[25edo]] to 7:1 in [[43edo]]; it has various extensions that span portions of this range, including [[Hemimean clan#Roulette|roulette]] and [[Hemimean clan#Mediantone|mediantone]] to the no-twos 19-limit, and [[hemithirds]] (along with its 5-limit microtemperament restriction [[luna]]) and [[hemiwürschmidt]] to the full 7-limit.


The 6L 1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.
The 6L 1s pattern also houses a temperament of the 11th and 13th harmonics, i.e. [[No-threes subgroup temperaments#Bluebirds|Bluebirds]], where the generator is identified with [[143/128]]; for example {{nowrap|L {{=}} 7|s {{=}} 4}} (46 edo) is such a scale.


== Scales ==
== Scales ==
* [[Roulette7]]
* [[Tetracot7]] – 34edo, 41edo, and POTE tuning
* [[Bluebirds7]]
* [[Bluebirds7]] – 329edo tuning
* [[Glacial7]] – 84edo tuning
* [[Deutone7]] – 44edo tuning
* [[Leantone7]] – 81edo tuning
* [[Roulette7]] – 37edo tuning


== Scale tree ==
== Scale tree ==
Generator ranges:
{{MOS tuning spectrum
* Chroma-positive generator: 171.4286 cents (1\7) to 200 cents (1\6)
| 5/4 = [[Tetracot]] is in this region
* Chroma-negative generator: 1000 cents (5\6) to 1028.5714 cents (6\7)
| 9/7 = Tetracot/[[modus]]/[[wollemia]]
 
| 13/8 = Wilson Golden 2 (181.3227{{c}})
{| class="wikitable center-all"
| 12/7 = [[Bluebirds]]
! colspan="6" | Generator
| 13/5 = Golden [[glacial]] (188.0298{{c}})
! Cents
| 3/1 = [[Spell]]
!Remainder
| 7/2 = [[Isra]]/[[deutone]]
! L
| 4/1 = Isra/[[leantone]]
! s
| 5/1 = Didacus/[[hemithirds]]/[[hemiwürschmidt]]
! L/s
| 6/1 = Didacus/[[roulette]]
! Comments
}}
|-
| 1\7 || || || || || || 171.429
|171.429|| 1 || 1 || 1.000 ||
|-
| || || || || || 6\41 || 175.610
|146.341|| 6 || 5 || 1.200 ||
|-
| || || || || 5\34 || || 176.471
|141.765|| 5 || 4 || 1.250 || [[Tetracot]] is in this region
|-
| || || || || || 9\61 || 177.049
|137.704|| 9 || 7 || 1.286 || Tetracot/[[modus]]/[[wollemia]]
|-
| || || || 4\27 || || || 177.778
|133.333|| 4 || 3 || 1.333 ||
|-
| || || || || || 11\74 || 178.378
|129.730|| 11 || 8 || 1.375 ||
|-
| || || || || 7\47 || || 178.723
|127.660|| 7 || 5 || 1.400 ||
|-
| || || || || || 10\67 || 179.104
|125.373|| 10 || 7 || 1.429 ||
|-
| || || 3\20 || || || || 180.000
|120.000|| 3 || 2 || 1.500 ||
|-
| || || || || || 11\73 || 180.822
|115.068|| 11 || 7 || 1.571 ||
|-
| || || || || 8\53 || || 181.132
|113.208|| 8 || 5 || 1.600 ||
|-
| || || || || || 13\86 || 181.395
|111.628|| 13 || 8 || 1.625 || Wilson Golden 2 (181.3227¢)
|-
| || || || 5\33 || || || 181.818
|109.091|| 5 || 3 || 1.667 ||
|-
| || || || || || 12\79 || 182.278
|106.329|| 12 || 7 || 1.714 || [[Chromatic_pairs#Bluebirds|Bluebirds]]
|-
| || || || || 7\46 || || 182.609
|104.348|| 7 || 4 || 1.750 ||
|-
| || || || || || 9\59 || 183.051
|101.695|| 9 || 5 || 1.800 ||
|-
| || 2\13 || || || || || 184.615
|92.308|| 2 || 1 || 2.000 || Basic archeotonic
|-
| || || || || || 9\58 || 186.207
|82.759|| 9 || 4 || 2.250 ||
|-
| || || || || 7\45 || || 186.667
|80.000|| 7 || 3 || 2.333 ||
|-
| || || || || || 12\77 || 187.013
|77.922|| 12 || 5 || 2.400 ||
|-
| || || || 5\32 || || || 187.500
|75.000|| 5 || 2 || 2.500 ||
|-
| || || || || || 13\83 || 187.952
|72.289|| 13 || 5 || 2.600 || Golden [[glacial]] (188.0298¢)
|-
| || || || || 8\51 || || 188.235
|70.588|| 8 || 3 || 2.667 ||
|-
| || || || || || 11\70 || 188.571
|68.571|| 11 || 4 || 2.750 ||
|-
| || || 3\19 || || || || 189.474
|63.159|| 3 || 1 || 3.000 || [[Spell]]
|-
| || || || || || 10\63 || 190.476
|57.143|| 10 || 3 || 3.333 ||
|-
| || || || || 7\44 || || 190.909
|54.545|| 7 || 2 || 3.500 || [[Isra]]/[[deutone]]
|-
| || || || || || 11\69 || 191.304
|52.174|| 11 || 3 || 3.667 ||
|-
| || || || 4\25 || || || 192.000
|48.000|| 4 || 1 || 4.000 || Isra/[[leantone]]
|-
| || || || || || 9\56 || 192.857
|42.857|| 9 || 2 || 4.500 ||
|-
| || || || || 5\31 || || 193.548
|38.709|| 5 || 1 || 5.000 || [[Didacus]]/[[hemithirds]]/[[hemiwürschmidt]]
|-
| || || || || || 6\37 || 194.595
|32.432|| 6 || 1 || 6.000 || Didacus/[[roulette]]
|-
| 1\6 || || || || || || 200.000
|0.000|| 1 || 0 || → inf ||
|}


[[Category:Archaeotonic| ]]
[[Category:Archaeotonic| ]]
[[Category:7-tone scales]]
[[Category:7-tone scales]]
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