|
|
| (12 intermediate revisions by one other user not shown) |
| Line 3: |
Line 3: |
|
| |
|
| == 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. Carlos Alpha can be seen as 9edf with an independent dimension for 2. | | 9edf corresponds to 15.385602edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the [[Half-prime subgroup|3/2.5/4.7/8.11/8 subgroup]]. Carlos Alpha can be seen as 9edf with an independent dimension for 2. |
|
| |
|
| === Harmonics === | | === Harmonics === |
| Line 69: |
Line 69: |
|
| |
|
| == Scales == | | == Scales == |
| Livewire (this is the original/default tuning)
| | {| class="wikitable sortable" |
| | | |+ |
| * 77.995
| | ! rowspan="2" |Name |
| * 701.955
| | ! rowspan="2" |Step pattern within 1 period |
| * 779.950
| | ! colspan="3" |Interval of repetition |
| * 1403.905
| | ! rowspan="2" |First described by |
| * 1481.905
| | |- |
| * 2105.865
| | !(in 9edf steps) |
| * 2183.860
| | !(in cents) |
| * 2807.820
| | !(nearby JI) |
| * 2885.815
| | |- |
| * 3509.775
| | |Molten [[slendro]] |
| * 3587.770
| | |3 |
| | | |3 |
| | | |234.0 |
| Corrugated (this is the original/default tuning)
| | |[[8/7]] |
| | | |''[[Budjarn Lambeth]] (2023)'' |
| * 155.990
| | |- |
| * 701.955
| | |Pylon |
| * 857.945
| | |6 3 |
| * 1403.910
| | |9 |
| * 1559.900
| | |702.0 |
| * 2105.865
| | |[[3/2]] |
| * 2261.855
| | |''Budjarn Lambeth (2023)'' |
| * 2807.820
| | |- |
| * 2963.810
| | |Quest |
| * 3509.775
| | |7 2 |
| * 3665.765
| | |9 |
| * 4211.730
| | |702.0 |
| * 4367.720
| | |[[3/2]] |
| * 4913.685
| | |''Budjarn Lambeth (2023)'' |
| * 5069.675
| | |- |
| * 5615.640
| | |Snowcone |
| * 5771.630
| | |3 6 |
| * 6317.595
| | |9 |
| * 6473.585
| | |702.0 |
| * 7019.550
| | |[[3/2]] |
| * 7175.540
| | |''Budjarn Lambeth (2023)'' |
| * 7721.505
| | |- |
| * 7877.495
| | |Molten [[pelog]] |
| * 8423.460
| | |2 2 5 2 5 |
| | | |16 |
| | | |1247.9 |
| Snowcone (this is the original/default tuning)
| | |[[33/16]] |
| | | |''Budjarn Lambeth (2023)'' |
| * 233.985
| | |- |
| * 701.955
| | |Swan |
| * 935.940
| | |4 5 4 5 4 5 4 |
| * 1403.910
| | |31 |
| * 1637.895
| | |2417.8 |
| * 2105.865
| | |[[4/1]] |
| * 2339.850
| | |''Budjarn Lambeth (2023)'' |
| * 2807.820
| | |- |
| * 3041.805
| | |Livewire |
| * 3509.775
| | |1 8 1 8 1 8 1 8 1 8 1 |
| * 3743.760
| | |46 |
| * 4211.730
| | |3587.8 |
| * 4445.715
| | |[[8/1]] |
| * 4913.685
| | |''Budjarn Lambeth (2023)'' |
| * 5147.670
| | |- |
| * 5615.640
| | |Purgatory |
| * 5849.625
| | |8 1 8 1 8 1 8 1 8 1 8 1 8 |
| * 6317.595
| | |62 |
| * 6551.580
| | |4835.7 |
| * 7019.550
| | |[[16/1]] |
| * 7253.535
| | |''Budjarn Lambeth (2023)'' |
| * 7721.505
| | |- |
| * 7955.490
| | |Cloudscape |
| * 8423.460
| | |5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 |
| | | |72 |
| | | |5615.6 |
| Swan (this is the original/default tuning)
| | |[[128/5]] |
| | | |''Budjarn Lambeth (2023)'' |
| * 311.980
| | |- |
| * 701.955
| | |Corrugated |
| * 1013.935
| | |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 |
| * 1403.910
| | |135 |
| * 1715.890
| | |10529.3 |
| * 2105.865
| | |[[437/1]] |
| * 2417.845
| | |''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]]. |
| 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 == | | == Music == |