17edt: Difference between revisions
Tags: Mobile edit Mobile web edit |
m Restore subgroup info without erasing new info about 16/15 |
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| Line 24: | Line 24: | ||
! | Note ([[4L 5s (3/1-equivalent)#Notation|BPS-Lambda notation]]) | ! | Note ([[4L 5s (3/1-equivalent)#Notation|BPS-Lambda notation]]) | ||
! | Note (Macrodiatonic notation) | ! | Note (Macrodiatonic notation) | ||
! | Approximate 17 | ! | Approximate 3.5.7.11.17 [[subgroup]] intervals | ||
! | Additional 16.3.5.7.11.17 [[subgroup]] intervals | |||
! | Cents | ! | Cents | ||
! | Hekts | ! | Hekts | ||
| Line 32: | Line 33: | ||
| | E | | | E | ||
| | [[1/1]] | | | [[1/1]] | ||
| | | |||
| | 0 | | | 0 | ||
| | 0 | | | 0 | ||
| Line 38: | Line 40: | ||
| | K | | | K | ||
| | F | | | F | ||
| | | | | [[35/33]] (+10.0c); [[27/25]] (-21.4c); [[81/77]] (+24.2c); [[49/45]] (-35.5c) | ||
| | [[16/15]] (+0.2c); | |||
| | 111.9 | | | 111.9 | ||
| | 76.5 | | | 76.5 | ||
| Line 46: | Line 49: | ||
| | Gb | | | Gb | ||
| | [[17/15]] (+7.1c); [[63/55]] (-11.3c); [[25/22]] | | | [[17/15]] (+7.1c); [[63/55]] (-11.3c); [[25/22]] | ||
| | | |||
| | 223.8 | | | 223.8 | ||
| | 152.9 | | | 152.9 | ||
| Line 53: | Line 57: | ||
| | F# | | | F# | ||
| | [[11/9]] (-11.8c); [[21/17]] (-30.2c); [[25/21]] (+33.8c) | | | [[11/9]] (-11.8c); [[21/17]] (-30.2c); [[25/21]] (+33.8c) | ||
| | | |||
| | 335.6 | | | 335.6 | ||
| | 229.4 | | | 229.4 | ||
| Line 60: | Line 65: | ||
| | G | | | G | ||
| | [[35/27]] (-1.8c); [[9/7]] (+12.4c) | | | [[35/27]] (-1.8c); [[9/7]] (+12.4c) | ||
| | | |||
| | 447.5 | | | 447.5 | ||
| | 305.9 | | | 305.9 | ||
| Line 67: | Line 73: | ||
| | Ab | | | Ab | ||
| | [[15/11]] (+22.4c); [[7/5]] (-23.1c) | | | [[15/11]] (+22.4c); [[7/5]] (-23.1c) | ||
| | | |||
| | 559.4 | | | 559.4 | ||
| | 382.35 | | | 382.35 | ||
| Line 74: | Line 81: | ||
| | G# | | | G# | ||
| | [[81/55]] (+1.1c); [[25/17]] (+3.6c); [[49/33]] (-13.1c); [[51/35]] (+19.5c) | | | [[81/55]] (+1.1c); [[25/17]] (+3.6c); [[49/33]] (-13.1c); [[51/35]] (+19.5c) | ||
| | | |||
| | 671.3 | | | 671.3 | ||
| | 458.8 | | | 458.8 | ||
| Line 81: | Line 89: | ||
| | A | | | A | ||
| | [[11/7]] (+0.7c); [[27/17]] (-17.8c); [[17/11]] (+29.5c) | | | [[11/7]] (+0.7c); [[27/17]] (-17.8c); [[17/11]] (+29.5c) | ||
| | | |||
| | 783.2 | | | 783.2 | ||
| | 535.3 | | | 535.3 | ||
| Line 88: | Line 97: | ||
| | Bb | | | Bb | ||
| | [[5/3]] (+10.7c) | | | [[5/3]] (+10.7c) | ||
| | | |||
| | 895.1 | | | 895.1 | ||
| | 611.8 | | | 611.8 | ||
| Line 95: | Line 105: | ||
| | A# | | | A# | ||
| | [[9/5]] (-10.7c) | | | [[9/5]] (-10.7c) | ||
| | | |||
| | 1006.9 | | | 1006.9 | ||
| | 688.2 | | | 688.2 | ||
| Line 102: | Line 113: | ||
| | B | | | B | ||
| | [[21/11]] (-0.7c); [[17/9]] (+17.8c); [[33/17]] (-29.5c) | | | [[21/11]] (-0.7c); [[17/9]] (+17.8c); [[33/17]] (-29.5c) | ||
| | | |||
| | 1118.8 | | | 1118.8 | ||
| | 764.7 | | | 764.7 | ||
| Line 109: | Line 121: | ||
| | C | | | C | ||
| | [[55/27]] (-1.1c); [[51/25]] (-3.6c); [[99/49]] (+13.1c); [[35/17]] (-19.5c) | | | [[55/27]] (-1.1c); [[51/25]] (-3.6c); [[99/49]] (+13.1c); [[35/17]] (-19.5c) | ||
| | | |||
| | 1230.7 | | | 1230.7 | ||
| | 841.2 | | | 841.2 | ||
| Line 116: | Line 129: | ||
| | Db | | | Db | ||
| | [[11/5]] (-22.4c); [[15/7]] (+23.1c) | | | [[11/5]] (-22.4c); [[15/7]] (+23.1c) | ||
| | | |||
| | 1342.6 | | | 1342.6 | ||
| | 917.65 | | | 917.65 | ||
| Line 123: | Line 137: | ||
| | C# | | | C# | ||
| | [[81/35]] (+1.8c); [[7/3]] (-12.4c) | | | [[81/35]] (+1.8c); [[7/3]] (-12.4c) | ||
| | | |||
| | 1454.4 | | | 1454.4 | ||
| | 994.1 | | | 994.1 | ||
| Line 130: | Line 145: | ||
| | D | | | D | ||
| | [[27/11]] (+11.8c); [[17/7]] (+30.2c); [[63/25]] (-33.8c) | | | [[27/11]] (+11.8c); [[17/7]] (+30.2c); [[63/25]] (-33.8c) | ||
| | | |||
| | 1566.3 | | | 1566.3 | ||
| | 1070.6 | | | 1070.6 | ||
| Line 137: | Line 153: | ||
| | Eb | | | Eb | ||
| | [[45/17]] (-7.1c); [[55/21]] (+11.3c) | | | [[45/17]] (-7.1c); [[55/21]] (+11.3c) | ||
| | | |||
| | 1678.2 | | | 1678.2 | ||
| | 1147.1 | | | 1147.1 | ||
| Line 144: | Line 161: | ||
| | D# | | | D# | ||
| | [[99/35]] (-10.0c); [[25/9]] (+21.4c); [[77/27]] (-24.2c); [[135/49]] (+35.5c) | | | [[99/35]] (-10.0c); [[25/9]] (+21.4c); [[77/27]] (-24.2c); [[135/49]] (+35.5c) | ||
| | | |||
| | 1790.1 | | | 1790.1 | ||
| | 1223.5 | | | 1223.5 | ||
| Line 151: | Line 169: | ||
| | E | | | E | ||
| | [[3/1]] | | | [[3/1]] | ||
| | | |||
| | 1901.955 | | | 1901.955 | ||
| | 1300. | | | 1300. | ||
| Line 156: | Line 175: | ||
It's a weird coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents). | It's a weird coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents). | ||
{{todo|inline=1|complete table|text=Complete the +16 subgroup column, add missing intervals.}} | |||
== Regular temperament == | == Regular temperament == | ||