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| == Theory == | | == Theory == |
| 9edf corresponds to 15.391524edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the 3/2.5/4.7/8.11/8 subgroup. | | 9edf corresponds to 15.385602edo. It is closely related to [[Carlos Alpha]] (though the Carlos Alpha generator is 0.03{{C}} narrower at 77.965{{C}}), and can be used as a temperament of the 3/2.5/4.8/7.11/8 subgroup. [[Valentine]] can be seen as 9edf with an independent dimension for 2. |
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| === Harmonics === | | === Harmonics === |
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| == Scales == | | == Scales == |
| Livewire (this is the original/default tuning)
| | {{Idiosyncratic terms}} |
|
| |
|
| * 77.995
| | {| class="wikitable sortable" |
| * 701.955
| | |+ |
| * 779.950
| | ! rowspan="2" | Name |
| * 1403.905
| | ! rowspan="2" | Step pattern within 1 period |
| * 1481.905
| | ! colspan="3" | Interval of repetition |
| * 2105.865
| | ! rowspan="2" | First described by |
| * 2183.860
| | |- |
| * 2807.820
| | ! (In 9edf steps) |
| * 2885.815
| | ! (In cents) |
| * 3509.775
| | ! (Nearby JI) |
| * 3587.770
| | |- |
| | | Molten [[slendro]] |
| | | 3 |
| | | 3 |
| | | 234.0 |
| | | [[8/7]] |
| | | ''[[Budjarn Lambeth]] (2023)'' |
| | |- |
| | | Pylon |
| | | 6 3 |
| | | 9 |
| | | 702.0 |
| | | [[3/2]] |
| | | ''Budjarn Lambeth (2023)'' |
| | |- |
| | | Quest |
| | | 7 2 |
| | | 9 |
| | | 702.0 |
| | | [[3/2]] |
| | | ''Budjarn Lambeth (2023)'' |
| | |- |
| | | Snowcone |
| | | 3 6 |
| | | 9 |
| | | 702.0 |
| | | [[3/2]] |
| | | ''Budjarn Lambeth (2023)'' |
| | |- |
| | | Molten [[pelog]] |
| | | 2 2 5 2 5 |
| | | 16 |
| | | 1247.9 |
| | | [[33/16]] |
| | | ''Budjarn Lambeth (2023)'' |
| | |- |
| | | Swan |
| | | 4 5 4 5 4 5 4 |
| | | 31 |
| | | 2417.8 |
| | | [[4/1]] |
| | | ''Budjarn Lambeth (2023)'' |
| | |- |
| | | Livewire |
| | | 1 8 1 8 1 8 1 8 1 8 1 |
| | | 46 |
| | | 3587.8 |
| | | [[8/1]] |
| | | ''Budjarn Lambeth (2023)'' |
| | |- |
| | | Purgatory |
| | | 8 1 8 1 8 1 8 1 8 1 8 1 8 |
| | | 62 |
| | | 4835.7 |
| | | [[16/1]] |
| | | ''Budjarn Lambeth (2023)'' |
| | |- |
| | | Cloudscape |
| | | 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 |
| | | 72 |
| | | 5615.6 |
| | | [[128/5]] |
| | | ''Budjarn Lambeth (2023)'' |
| | |- |
| | | Corrugated |
| | | 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 |
| | | 135 |
| | | 10529.3 |
| | | [[437/1]] |
| | | ''Budjarn Lambeth (2023)'' |
| | |} |
| | None of these scales are approximated from another tuning unless specified otherwise. For exact [[cents]] values see [[User:BudjarnLambeth/Longer versions of scales#9edf]]. |
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| | == Music == |
| | See [[Carlos Alpha #Music]]. Many are tuned to exactly 9edf. |
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| Corrugated (this is the original/default tuning)
| | == See also == |
| | | * [[Alpha, beta, and gamma family of equal divisions]] |
| * 155.990
| |
| * 701.955
| |
| * 857.945
| |
| * 1403.910
| |
| * 1559.900
| |
| * 2105.865
| |
| * 2261.855
| |
| * 2807.820
| |
| * 2963.810
| |
| * 3509.775
| |
| * 3665.765
| |
| * 4211.730
| |
| * 4367.720
| |
| * 4913.685
| |
| * 5069.675
| |
| * 5615.640
| |
| * 5771.630
| |
| * 6317.595
| |
| * 6473.585
| |
| * 7019.550
| |
| * 7175.540
| |
| * 7721.505
| |
| * 7877.495
| |
| * 8423.460
| |
| | |
| | |
| Snowcone (this is the original/default tuning)
| |
| | |
| * 233.985
| |
| * 701.955
| |
| * 935.940
| |
| * 1403.910
| |
| * 1637.895
| |
| * 2105.865
| |
| * 2339.850
| |
| * 2807.820
| |
| * 3041.805
| |
| * 3509.775
| |
| * 3743.760
| |
| * 4211.730
| |
| * 4445.715
| |
| * 4913.685
| |
| * 5147.670
| |
| * 5615.640
| |
| * 5849.625
| |
| * 6317.595
| |
| * 6551.580
| |
| * 7019.550
| |
| * 7253.535
| |
| * 7721.505
| |
| * 7955.490
| |
| * 8423.460
| |
| | |
| | |
| Swan (this is the original/default tuning)
| |
| | |
| * 311.980
| |
| * 701.955
| |
| * 1013.935
| |
| * 1403.910
| |
| * 1715.890
| |
| * 2105.865
| |
| * 2417.845
| |
| | |
| | |
| Cloudscape (this is the original/default tuning)
| |
| | |
| * 389.975
| |
| * 701.955
| |
| * 1091.930
| |
| * 1403.910
| |
| * 1793.885
| |
| * 2105.865
| |
| * 2495.840
| |
| * 2807.820
| |
| * 3197.795
| |
| * 3509.775
| |
| * 3899.750
| |
| * 4211.730
| |
| * 4601.705
| |
| * 4913.685
| |
| * 5303.660
| |
| * 5615.640
| |
| * 6005.615
| |
| | |
| | |
| Pylon (this is the original/default tuning)
| |
| | |
| * 467.970
| |
| * 701.955
| |
| * 1169.925
| |
| * 1403.910
| |
| * 1871.880
| |
| * 2105.865
| |
| * 2573.835
| |
| * 2807.820
| |
| * 3275.790
| |
| * 3509.775
| |
| * 3977.745
| |
| * 4211.730
| |
| * 4679.700
| |
| * 4913.685
| |
| * 5381.655
| |
| * 5615.640
| |
| * 6083.610
| |
| * 6317.595
| |
| * 6785.565
| |
| * 7019.550
| |
| * 7487.520
| |
| * 7721.505
| |
| * 8189.475
| |
| * 8423.460
| |
| | |
| | |
| Quest (this is the original/default tuning)
| |
| | |
| * 545.965
| |
| * 701.955
| |
| * 1247.920
| |
| * 1403.910
| |
| * 1949.875
| |
| * 2105.865
| |
| * 2651.830
| |
| * 2807.820
| |
| * 3353.785
| |
| * 3509.775
| |
| * 4055.740
| |
| * 4211.730
| |
| * 4757.695
| |
| * 4913.685
| |
| * 5459.650
| |
| * 5615.640
| |
| * 6161.605
| |
| * 6317.595
| |
| * 6863.560
| |
| * 7019.550
| |
| * 7565.515
| |
| * 7721.505
| |
| * 8267.470
| |
| * 8423.460
| |
| | |
| | |
| Purgatory (this is the original/default tuning)
| |
| | |
| * 623.960
| |
| * 701.955
| |
| * 1325.915
| |
| * 1403.910
| |
| * 2027.870
| |
| * 2105.865
| |
| * 2729.825
| |
| * 2807.820
| |
| * 3431.780
| |
| * 3509.775
| |
| * 4133.735
| |
| * 4211.730
| |
| * 4835.690
| |
| | |
| | |
| Molten [[Pelog]] (this is the original/default tuning)
| |
| | |
| * 155.990
| |
| * 311.980
| |
| * 701.955
| |
| * 857.945
| |
| * 1247.920
| |
| | |
| | |
| Molten [[Slendro]] (exact tuning from [[3edf]])
| |
| | |
| * 233.985
| |
| * 467.970
| |
| * 701.955
| |
| * 935.940
| |
| * 1169.925
| |
| | |
| == Music == | |
| See [[Carlos Alpha #Music]]. Many are in tuned to exactly 9edf.
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| [[Category:Listen]] | | [[Category:Listen]] |