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| This MOS is the chromatic scale of Semidim, Tridec, Ammonite and Petrtri temperaments. It represents tempered chains of the 13:10 or 17:13 superthird, thus rendering 10:13:17 as an equidistant triad and tempering out 170:169. Also, the ratio between the generator of this MOS and its inverse is close to [[logarithmic phi]], or even logarithmic phi itself.
| | {{Infobox MOS |
| | | Periods = 1 |
| | | nLargeSteps = 8 |
| | | nSmallSteps = 5 |
| | | Equalized = 5 |
| | | Collapsed = 3 |
| | | Pattern = LLsLLsLsLLsLs |
| | }} |
| | {{MOS intro}} |
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| |
|
| {| class="wikitable"
| | 8L 5s represents the chromatic scale of [[Semidim]], [[Tridec]], [[Ammonite]], and [[Petrtri]] temperaments. It represents [[tempered]] chains of the 13:10 or 17:13 [[semisixth]], thus rendering 10:13:17 as an equidistant [[triad]] and [[tempering out]] 170:169. Also, the ratio between the generator of this MOS and its inverse is close to [[logarithmic phi]], or even logarithmic phi itself; based on this relation to the golden sequence, [[User:Lériendil|Lériendil]] has proposed the name '''aureate''' for this scale. |
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| | |
| | |
| | == Scale properties == |
| | |
| | {{TAMNAMS use}} |
| | | cents
| | |
| | | 2g
| | === Intervals === |
| |-
| | {{MOS intervals}} |
| | | 3/8
| | |
| | |
| | === Generator chain === |
| | | 450
| | {{MOS genchain}} |
| | | 900
| | |
| |-
| | === Modes === |
| | | 17/45
| | {{MOS mode degrees}} |
| | |
| | |
| | | 453.333
| | ==Scale tree== |
| | | 906.667
| | {{MOS tuning spectrum}} |
| |-
| | |
| | |
| | {{todo|expand}} |
| | | 31/82
| | |
| | | 453.512
| | [[Category:Oneirotonic]] |
| | | 907.024
| | [[Category:13-tone scales]] |
| |-
| |
| | | 14/37
| |
| | |
| |
| | | 454.054
| |
| | | 908.108
| |
| |-
| |
| | |
| |
| | | 25/66
| |
| | | 454.5455
| |
| | | 909.091
| |
| |-
| |
| | | | |
| | |
| |
| | | 454.978
| |
| | | 909.956
| |
| |-
| |
| | | 11/29
| |
| | |
| |
| | | 455.172
| |
| | | 910.345
| |
| |-
| |
| | |
| |
| | |
| |
| | | 455.608
| |
| | | 911.825
| |
| |-
| |
| | |
| |
| | | 30/79
| |
| | | 455.696
| |
| | | 911.392
| |
| |-
| |
| | |
| |
| | |
| |
| | | 455.782
| |
| | | 911.563
| |
| |-
| |
| | |
| |
| | | 19/50
| |
| | | 456
| |
| | | 912
| |
| |-
| |
| | |
| |
| | | 27/71
| |
| | | 456.338
| |
| | | 912.676
| |
| |-
| |
| | |
| |
| | | 35/92
| |
| | | 456.522
| |
| | | 913.043
| |
| |-
| |
| | | 8/21
| |
| | |
| |
| | | 457.143
| |
| | | 914.286
| |
| |-
| |
| | |
| |
| | | 29/76
| |
| | | 457.684
| |
| | | 915.368
| |
| |-
| |
| | |
| |
| | |
| |
| | | 457.955
| |
| | | 915.91
| |
| |-
| |
| | |
| |
| | | 21/55
| |
| | | 458.182
| |
| | | 916.364
| |
| |-
| |
| | |
| |
| | |
| |
| | | 458.359
| |
| | | 916.718
| |
| |-
| |
| | |
| |
| | | 34/89
| |
| | | 458.427
| |
| | | 916.854
| |
| |-
| |
| | |
| |
| | |
| |
| | | 458.539
| |
| | | 917.078
| |
| |-
| |
| | | 13/34
| |
| | |
| |
| | | 458.8235
| |
| | | 917.647
| |
| |-
| |
| | |
| |
| | | 31/81
| |
| | | 459.259
| |
| | | 918.5185
| |
| |-
| |
| | | 18/47
| |
| | |
| |
| | | 459.5745
| |
| | | 919.149
| |
| |-
| |
| | | 23/60
| |
| | |
| |
| | | 460
| |
| | | 920
| |
| |-
| |
| | | 5/13
| |
| | |
| |
| | | 461.5385
| |
| | | 923.077
| |
| |}
| |