|
|
| (32 intermediate revisions by 12 users not shown) |
| Line 1: |
Line 1: |
| {{Infobox MOS | | {{Infobox MOS}} |
| | Name = | | {{MOS intro}} |
| | Periods = 2 | | There is only one significant (though small) harmonic entropy minimum with this MOS pattern: [[Porcupine_family#Hedgehog|hedgehog]], in which two generators are 6/5 and three are 4/3, same as [[porcupine]]. |
| | nLargeSteps = 6
| | |
| | nSmallSteps = 2
| | 6L 2s can be seen as a [[Warped diatonic|warped diatonic scale]], where one additional large step is added to diatonic (5L 2s). |
| | Equalized = 1
| | |
| | Paucitonic = 1
| | In addition to the true MOS pattern, there is a near-mos pattern, LLLLsLLs, in which the period is the only interval with more than two varieties. This near-MOS pattern is only proper if the generator is smaller than 2\14. Hedgehog is among these tunings. |
| | Pattern = LLLsLLLs
| | |
| }} | | == Scale properties == |
| | {{TAMNAMS use}} |
| | |
| | === Intervals === |
| | {{MOS intervals}} |
| | |
| | === Generator chain === |
| | {{MOS genchain}} |
|
| |
|
| '''6L 2s''' is a MOS scale with a half-octave period and a generator larger than 1\8 and smaller than 1\6. There is only one significant (though small) harmonic entropy minimum with this MOS pattern: [[Porcupine_family#Hedgehog|hedgehog]], in which two generators are 6/5 and three are 4/3, same as porcupine.
| | === Modes === |
| | {{MOS mode degrees}} |
|
| |
|
| In addition to the true MOS, LLLsLLLs, there is also a near-MOS, LLLLsLLs, in which the period is the only interval with more than two flavors. The true MOS is always proper, because there is only one small step per period, but the near-MOS is only proper if the generator is smaller than 2\14 (which includes hedgehog).
| | === Proposed Names === |
| | {{Idiosyncratic terms|Mode names proposed by [[User:Frostburn|Frostburn]] for their dreamy, yet oppressing sound especially in [[20edo]].}} |
| | {{MOS modes |
| | | Mode Names= |
| | Paralysis $ |
| | Nightmare $ |
| | Succubus $ |
| | Incubus $ |
| | }} |
|
| |
|
| == Scale tree == | | == Scale tree == |
| {| class="wikitable" | | {{MOS tuning spectrum |
| |-
| | | 6/5 = [[Bison]] |
| ! colspan="7" | Generator
| | | 3/2 = [[Hedgehog]] is around here |
| ! | Cents
| | | 11/7 = [[Echidna]] |
| !1400edo
| | | 13/8 = [[Supers]], [[Pogo]] |
| ! | Comments
| | | 13/5 = Golden ekic |
| |-
| | | 11/3 = [[Unidec]] |
| | | 1\8
| | | 9/2 = [[Secant]] |
| | |
| | }} |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 150
| |
| |175
| |
| | style="text-align:center;" |
| |
| |-
| |
| |6\46 | |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |156.52…
| |
| |182.60…
| |
| |
| |
| |-
| |
| |
| |
| |11\84
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |157.14…
| |
| |183.3̄
| |
| |
| |
| |-
| |
| |5\38
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |157.89…
| |
| |184.21…
| |
| |
| |
| |-
| |
| |
| |
| |9\68
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |158.82…
| |
| |185.29…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |13\98
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |159.18…
| |
| |185.71…
| |
| |
| |
| |-
| |
| |4\30
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |160
| |
| |186.6̄
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |11\82
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |160.97…
| |
| |187.80…
| |
| |
| |
| |-
| |
| |
| |
| |7\52
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |161.53…
| |
| |188.46…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |10\74
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |162.16…
| |
| |189.18…
| |
| |
| |
| |-
| |
| | | 3\22
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 163.6̄3̄
| |
| |190.9̄0̄
| |
| | style="text-align:center;" | Hedgehog is around here
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |17\124
| |
| |
| |
| |
| |
| |164.51…
| |
| |191.93…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |14\102
| |
| |
| |
| |
| |
| |
| |
| |164.70…
| |
| |192.15…
| |
| |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 164.98…
| |
| |192.48…
| |
| | |
| |
| |-
| |
| |
| |
| |
| |
| |11\80 | |
| | | |
| |
| |
| |
| |
| |
| |
| |165
| |
| |192.5
| |
| |
| |
| |-
| |
| | |
| |
| | | 8\58
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 165.51…
| |
| |193.10…
| |
| | style="text-align:center;" |
| |
| |-
| |
| | |
| |
| | |
| |
| | | 13\94
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 165.95…
| |
| |193.61…
| |
| | style="text-align:center;" | Golden hedgehog/echidna
| |
| |- | |
| | |
| |
| | | 5\36
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 166.6̄
| |
| |194.4̄
| |
| | style="text-align:center;" |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 167.72…
| |
| |195.67…
| |
| | |
| |
| |-
| |
| |
| |
| |7\50
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |168
| |
| |196
| |
| |
| |
| |-
| |
| |
| |
| |9\64 | |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |168.75
| |
| |196.875
| |
| |
| |
| |-
| |
| |
| |
| |11\78
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |169.23…
| |
| |197.43…
| |
| |
| |
| |-
| |
| |
| |
| |13\92
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |169.59…
| |
| |197.82…
| |
| |
| |
| |-
| |
| |
| |
| |15\106
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |169.81…
| |
| |198.11…
| |
| |
| |
| |-
| |
| |
| |
| |17\120
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |170
| |
| |198.3̄
| |
| |
| |
| |-
| |
| |
| |
| |19\134
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |170.14…
| |
| |198.50…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |21\148
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |170.27…
| |
| |198.64…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |23\162
| |
| |
| |
| |
| |
| |
| |
| |170.37…
| |
| |198.76…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |25\176
| |
| |
| |
| |
| |
| |170.4̄5̄
| |
| |198.86…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |27\190
| |
| |
| |
| |170.52…
| |
| |198.94…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |29\204
| |
| |170.58…
| |
| |199.01…
| |
| |
| |
| |-
| |
| | | 2\14
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 171.42…
| |
| |200
| |
| | style="text-align:center;" | Boundary of propriety for near-MOS
| |
|
| |
|
| Optimum rank range (L/s=2/1) for MOS
| | == Music == |
| |-
| | ; [[User:Frostburn|Frostburn]] |
| |
| | * [https://youtu.be/nlF6al8MEuk ''Galloping Nightmares''] (2024) – synth metal |
| |
| | [[Category:Ekic| ]] |
| |
| | [[Category:8-tone scales]] |
| |
| | <!-- main article --> |
| |
| |
| |
| |
| |17\118
| |
| |172.88…
| |
| |201.69…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |15\104
| |
| |
| |
| |173.07…
| |
| |201.92…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |13\90
| |
| |
| |
| |
| |
| |173.3̄
| |
| |202.2̄
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |11\76
| |
| |
| |
| |
| |
| |
| |
| |173.68…
| |
| |202.63…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |9\62
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |174.19…
| |
| |203.22…
| |
| |
| |
| |-
| |
| |
| |
| |7\48
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |175
| |
| |204.16̄
| |
| |
| |
| |-
| |
| | |
| |
| | | 5\34
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 176.47…
| |
| |205.88…
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | | 13\88
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 177.2̄7̄
| |
| |206.8̄1̄
| |
| | |
| |
| |-
| |
| | |
| |
| | | 8\54
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 177.7̄
| |
| |207.40…
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 178.15…
| |
| |207.84…
| |
| | style="text-align:center;" |<span style="display: block; text-align: center;">L/s = e</span>
| |
| |-
| |
| |
| |
| |11\74
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |178.37…
| |
| |208.10…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |14\94
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |178.72…
| |
| |208.51…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |17\114
| |
| |
| |
| |
| |
| |
| |
| |178.94…
| |
| |208.77…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |20\134
| |
| |
| |
| |
| |
| |179.10…
| |
| |208.95…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |23\154
| |
| |
| |
| |179.22…
| |
| |209.0̄9̄…
| |
| |
| |
| |-
| |
| | |
| |
| | | 3\20
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 180
| |
| |210
| |
| | style="text-align:center;" | L/s = 3
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 180.81…
| |
| |210.95…
| |
| | |<span style="display: block; text-align: center;">L/s = pi</span>
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |13\86
| |
| |
| |
| |
| |
| |181.39…
| |
| |211.62…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |10\66
| |
| |
| |
| |
| |
| |
| |
| |181.8̄1̄
| |
| |212.1̄2̄
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |7\46
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |182.60…
| |
| |213.04…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |11\72
| |
| |
| |
| |
| |
| |
| |
| |183.3̄
| |
| |213.8̄
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |15\98
| |
| |
| |
| |
| |
| |183.67…
| |
| |214.28…
| |
| |
| |
| |-
| |
| | |
| |
| | | 4\26
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 184.61…
| |
| |215.38…
| |
| | style="text-align:center;" | L/s = 4
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |13\84
| |
| |
| |
| |
| |
| |185.71…
| |
| |216.6̄
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |9\58
| |
| |
| |
| |
| |
| |
| |
| |186.20…
| |
| |217.24…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |5\32
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |187.5
| |
| |218.75
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |16\102
| |
| |
| |
| |188.23…
| |
| |219.60…
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |11\70
| |
| |
| |
| |
| |
| |188.57…
| |
| |220
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |6\38
| |
| |
| |
| |
| |
| |
| |
| |189.47
| |
| |221.05…
| |
| |
| |
| |-
| |
| | | 1\6
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| |
| |
| | | 200
| |
| |233.3̄
| |
| | style="text-align:center;" |
| |
| |}
| |
| [[Category:Abstract MOS patterns]] | |