2L 10s: Difference between revisions

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{{todo|cleanup|inline=1|text=Adopt scale tree template, review entries}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
2L 10s appears as the chromatic scale of [[injera]] and [[shrutar]] temperaments, among others. Injera is the harmonic entropy minimum for this pattern, generating 5/4 by moving up four generators from the root. The name for this MOS scale is '''p-chro jaric'''.


==Modes==
2L 10s appears as the chromatic scale of [[injera]] and [[shrutar]] temperaments, among others. Injera is the harmonic entropy minimum for this pattern, generating 5/4 by moving up four generators from the root. The systematic name for this MOS scale is '''p-chro jaric''', although [[User:Lériendil|Lériendil]] has proposed the bespoke name '''thalassic''', being an antonym to '''telluric''' as used for [[10L 2s]].
{{MOS modes}}


== Scale tree ==
== Scale properties ==
''Note: the following table uses the dark generator.''
{{TAMNAMS use}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}


Generator ranges:
=== Modes ===
* Bright generator: 500 cents (5\12) to 600 cents (1\2)
{{MOS mode degrees}}
* Dark generator: 0 cents (0\2) to 100 cents (1\12)


{| class="wikitable center-all"
== Scale tree ==
! colspan="6" | Small step <br>(dark generator)
{{MOS tuning spectrum
! Cents
| 13/8 = Unnamed golden tuning (90.6614{{c}})
! L
| 13/5 = Unnamed golden tuning (78.7605{{c}})
! s
| 10/3 = [[Vishnu]]/[[vishnean]]
! L/s
| 6/1 = [[Shrutar]]&nbsp;↓
! Comments
}}
|-
| 1\12 || || || || || || 100.000 || 1 || 1 || 1.000 ||
|-
| || || || || || 5\62 || 96.774 || 6 || 5 || 1.200 ||
|-
| || || || || 4\50 || || 96.000 || 5 || 4 || 1.250 ||
|-
| || || || || || 7\88 || 95.455 || 9 || 7 || 1.286 ||
|-
| || || || 3\38 || || || 94.737 || 4 || 3 || 1.333 ||
|-
| || || || || || 8\102 || 94.118 || 11 || 8 || 1.375 ||
|-
| || || || || 5\64 || || 93.750 || 7 || 5 || 1.400 ||
|-
| || || || || || 7\90 || 93.333 || 10 || 7 || 1.429 ||
|-
| || || 2\26 || || || || 92.308 || 3 || 2 || 1.500 || [[Injera]]
|-
| || || || || || 7\92 || 91.304 || 11 || 7 || 1.571 ||
|-
| || || || || 5\66 || || 90.909 || 8 || 5 || 1.600 ||
|-
| || || || || || 8\106 || 90.566 || 13 || 8 || 1.625 || Unnamed golden tuning (90.6614¢)
|-
| || || || 3\40 || || || 90.000 || 5 || 3 || 1.667 ||
|-
| || || || || || 7\94 || 89.362 || 12 || 7 || 1.714 ||
|-
| || || || || 4\54 || || 88.889 || 7 || 4 || 1.750 ||
|-
| || || || || || 5\68 || 88.235 || 9 || 5 || 1.800 ||
|-
| || 1\14 || || || || || 85.714 || 2 || 1 || 2.000 || Basic 2L 10s <br>(Generators larger than this are proper)
|-
| || || || || || 4\58 || 82.759 || 9 || 4 || 2.250 ||
|-
| || || || || 3\44 || || 81.818 || 7 || 3 || 2.333 ||
|-
| || || || || || 5\74 || 81.081 || 12 || 5 || 2.400 ||
|-
| || || || 2\30 || || || 80.000 || 5 || 2 || 2.500 ||
|-
| || || || || || 5\76 || 78.947 || 13 || 5 || 2.600 || Unnamed golden tuning (78.7605¢)
|-
| || || || || 3\46 || || 78.261 || 8 || 3 || 2.667 ||
|-
| || || || || || 4\62 || 77.419 || 11 || 4 || 2.750 ||
|-
| || || 1\16 || || || || 75.000 || 3 || 1 || 3.000 ||
|-
| || || || || || 3\50 || 72.000 || 10 || 3 || 3.333 || [[Vishnu]]/[[vishnean]]
|-
| || || || || 2\34 || || 70.588 || 7 || 2 || 3.500 ||
|-
| || || || || || 3\52 || 69.231 || 11 || 3 || 3.667 ||
|-
| || || || 1\18 || || || 66.667 || 4 || 1 || 4.000 ||
|-
| || || || || || 2\38 || 63.158 || 9 || 2 || 4.500 ||
|-
| || || || || 1\20 || || 60.000 || 5 || 1 || 5.000 ||
|-
| || || || || || 1\22 || 54.545 || 6 || 1 || 6.000 || [[Shrutar]]
|-
| 0\2 || || || || || || 0 || 1 || 0 || → inf ||
|}


[[Category:12-tone scales]]
[[Category:12-tone scales]]