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Pinetone: Difference between revisions

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m →The Pinetone diatonic: added links to demos
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|sLsssss
|sLsssss
|Dark major
|Dark major
|Lydian dark major
|[https://xenpaper.com/#%7B1%2F1_10%2F9_5%2F4_25%2F18_3%2F2_5%2F3_50%2F27_2%2F1_20%2F9_5%2F2_25%2F9_3%2F1_10%2F3_100%2F27%7D0_1_2_3_4_5_6_7_6_5_4_3_2_1_0-_0-_1-_%5B0_2%5D-_%5B1_3%5D-_%5B0_2_4%5D-_%5B1_3_5%5D-_%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-_%5B1_3%5D-_%5B0_2%5D-_1-_0-.._%5B0_2_4%5D-_%5B1_3_5%5D-_%5B2_4_6%5D-_%5B3_5_7%5D-_%5B4_6_8%5D-_%5B5_7_9%5D-_%5B6_8_10%5D-_%5B7_9_11%5D-_%5B6_8_10%5D-_%5B5_7_9%5D-_%5B4_6_8%5D-_%5B3_5_7%5D-_%5B2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-.._%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B2_4_6_8%5D-_%5B3_5_7_9%5D-_%5B4_6_8_10%5D-_%5B5_7_9_11%5D-_%5B6_8_10_12%5D-_%5B7_9_11_13%5D-_%5B6_8_10_12%5D-_%5B5_7_9_11%5D-_%5B4_6_8_10%5D-_%5B3_5_7_9%5D-_%5B2_4_6_8%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D--- Lydian dark major]
|-
|-
|2
|2
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|Lssssss
|Lssssss
|Bright major
|Bright major
|Mixolydian bright major
|[https://xenpaper.com/#%7B1%2F1_9%2F8_5%2F4_27%2F20_3%2F2_5%2F3_9%2F5_2%2F1_9%2F4_5%2F2_27%2F10_3%2F1_10%2F3_18%2F5%7D0_1_2_3_4_5_6_7_6_5_4_3_2_1_0-_0-_1-_%5B0_2%5D-_%5B1_3%5D-_%5B0_2_4%5D-_%5B1_3_5%5D-_%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-_%5B1_3%5D-_%5B0_2%5D-_1-_0-.._%5B0_2_4%5D-_%5B1_3_5%5D-_%5B2_4_6%5D-_%5B3_5_7%5D-_%5B4_6_8%5D-_%5B5_7_9%5D-_%5B6_8_10%5D-_%5B7_9_11%5D-_%5B6_8_10%5D-_%5B5_7_9%5D-_%5B4_6_8%5D-_%5B3_5_7%5D-_%5B2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-.._%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B2_4_6_8%5D-_%5B3_5_7_9%5D-_%5B4_6_8_10%5D-_%5B5_7_9_11%5D-_%5B6_8_10_12%5D-_%5B7_9_11_13%5D-_%5B6_8_10_12%5D-_%5B5_7_9_11%5D-_%5B4_6_8_10%5D-_%5B3_5_7_9%5D-_%5B2_4_6_8%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D--- Mixolydian bright major]
|-
|-
|1
|1
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|ssssLss
|ssssLss
|Bright diminished
|Bright diminished
|Ionian bright diminished
|[https://xenpaper.com/#%7B1%2F1_10%2F9_100%2F81_4%2F3_40%2F27_5%2F3_50%2F27_2%2F1_20%2F9_200%2F81_8%2F3_80%2F27_10%2F3_100%2F27%7D0_1_2_3_4_5_6_7_6_5_4_3_2_1_0-_0-_1-_%5B0_2%5D-_%5B1_3%5D-_%5B0_2_4%5D-_%5B1_3_5%5D-_%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-_%5B1_3%5D-_%5B0_2%5D-_1-_0-.._%5B0_2_4%5D-_%5B1_3_5%5D-_%5B2_4_6%5D-_%5B3_5_7%5D-_%5B4_6_8%5D-_%5B5_7_9%5D-_%5B6_8_10%5D-_%5B7_9_11%5D-_%5B6_8_10%5D-_%5B5_7_9%5D-_%5B4_6_8%5D-_%5B3_5_7%5D-_%5B2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-.._%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B2_4_6_8%5D-_%5B3_5_7_9%5D-_%5B4_6_8_10%5D-_%5B5_7_9_11%5D-_%5B6_8_10_12%5D-_%5B7_9_11_13%5D-_%5B6_8_10_12%5D-_%5B5_7_9_11%5D-_%5B4_6_8_10%5D-_%5B3_5_7_9%5D-_%5B2_4_6_8%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D--- Ionian bright diminished]
|-
|-
|0
|0
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|sssLsss
|sssLsss
|Symmetric minor
|Symmetric minor
|Dorian symmetric minor
|[https://xenpaper.com/#%7B1%2F1_10%2F9_6%2F5_4%2F3_3%2F2_5%2F3_9%2F5_2%2F1_20%2F9_12%2F5_8%2F3_3%2F1_10%2F3_18%2F5%7D0_1_2_3_4_5_6_7_6_5_4_3_2_1_0-_0-_1-_%5B0_2%5D-_%5B1_3%5D-_%5B0_2_4%5D-_%5B1_3_5%5D-_%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-_%5B1_3%5D-_%5B0_2%5D-_1-_0-.._%5B0_2_4%5D-_%5B1_3_5%5D-_%5B2_4_6%5D-_%5B3_5_7%5D-_%5B4_6_8%5D-_%5B5_7_9%5D-_%5B6_8_10%5D-_%5B7_9_11%5D-_%5B6_8_10%5D-_%5B5_7_9%5D-_%5B4_6_8%5D-_%5B3_5_7%5D-_%5B2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-.._%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B2_4_6_8%5D-_%5B3_5_7_9%5D-_%5B4_6_8_10%5D-_%5B5_7_9_11%5D-_%5B6_8_10_12%5D-_%5B7_9_11_13%5D-_%5B6_8_10_12%5D-_%5B5_7_9_11%5D-_%5B4_6_8_10%5D-_%5B3_5_7_9%5D-_%5B2_4_6_8%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D--- Dorian symmetric minor]
|-
|-
|  -1
|  -1
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|ssLssss
|ssLssss
|Bright minor
|Bright minor
|Phrygian bright minor
|[https://xenpaper.com/#%7B1%2F1_27%2F25_6%2F5_27%2F20_3%2F2_81%2F50_9%2F5_2%2F1_54%2F25_12%2F5_27%2F10_3%2F1_81%2F25_18%2F5%7D0_1_2_3_4_5_6_7_6_5_4_3_2_1_0-_0-_1-_%5B0_2%5D-_%5B1_3%5D-_%5B0_2_4%5D-_%5B1_3_5%5D-_%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-_%5B1_3%5D-_%5B0_2%5D-_1-_0-.._%5B0_2_4%5D-_%5B1_3_5%5D-_%5B2_4_6%5D-_%5B3_5_7%5D-_%5B4_6_8%5D-_%5B5_7_9%5D-_%5B6_8_10%5D-_%5B7_9_11%5D-_%5B6_8_10%5D-_%5B5_7_9%5D-_%5B4_6_8%5D-_%5B3_5_7%5D-_%5B2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-.._%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B2_4_6_8%5D-_%5B3_5_7_9%5D-_%5B4_6_8_10%5D-_%5B5_7_9_11%5D-_%5B6_8_10_12%5D-_%5B7_9_11_13%5D-_%5B6_8_10_12%5D-_%5B5_7_9_11%5D-_%5B4_6_8_10%5D-_%5B3_5_7_9%5D-_%5B2_4_6_8%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D--- Phrygian bright minor]
|-
|-
|  -2
|  -2
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|ssssssL
|ssssssL
|Magical seventh
|Magical seventh
|Aeolian magical seventh
|[https://xenpaper.com/#%7B1%2F1_10%2F9_6%2F5_4%2F3_40%2F27_8%2F5_16%2F9_2%2F1_20%2F9_12%2F5_8%2F3_80%2F27_16%2F5_32%2F9%7D0_1_2_3_4_5_6_7_6_5_4_3_2_1_0-_0-_1-_%5B0_2%5D-_%5B1_3%5D-_%5B0_2_4%5D-_%5B1_3_5%5D-_%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-_%5B1_3%5D-_%5B0_2%5D-_1-_0-.._%5B0_2_4%5D-_%5B1_3_5%5D-_%5B2_4_6%5D-_%5B3_5_7%5D-_%5B4_6_8%5D-_%5B5_7_9%5D-_%5B6_8_10%5D-_%5B7_9_11%5D-_%5B6_8_10%5D-_%5B5_7_9%5D-_%5B4_6_8%5D-_%5B3_5_7%5D-_%5B2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-.._%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B2_4_6_8%5D-_%5B3_5_7_9%5D-_%5B4_6_8_10%5D-_%5B5_7_9_11%5D-_%5B6_8_10_12%5D-_%5B7_9_11_13%5D-_%5B6_8_10_12%5D-_%5B5_7_9_11%5D-_%5B4_6_8_10%5D-_%5B3_5_7_9%5D-_%5B2_4_6_8%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D--- Aeolian magical seventh]
|-
|-
|  -3
|  -3
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|sssssLs
|sssssLs
|Dark diminished
|Dark diminished
|Locrian dark diminished
|[https://xenpaper.com/#%7B1%2F1_27%2F25_6%2F5_4%2F3_36%2F25_8%2F5_9%2F5_2%2F1_54%2F25_12%2F5_8%2F3_72%2F25_16%2F5_18%2F5%7D0_1_2_3_4_5_6_7_6_5_4_3_2_1_0-_0-_1-_%5B0_2%5D-_%5B1_3%5D-_%5B0_2_4%5D-_%5B1_3_5%5D-_%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-_%5B1_3%5D-_%5B0_2%5D-_1-_0-.._%5B0_2_4%5D-_%5B1_3_5%5D-_%5B2_4_6%5D-_%5B3_5_7%5D-_%5B4_6_8%5D-_%5B5_7_9%5D-_%5B6_8_10%5D-_%5B7_9_11%5D-_%5B6_8_10%5D-_%5B5_7_9%5D-_%5B4_6_8%5D-_%5B3_5_7%5D-_%5B2_4_6%5D-_%5B1_3_5%5D-_%5B0_2_4%5D-.._%5B0_2_4_6%5D-_%5B1_3_5_7%5D-_%5B2_4_6_8%5D-_%5B3_5_7_9%5D-_%5B4_6_8_10%5D-_%5B5_7_9_11%5D-_%5B6_8_10_12%5D-_%5B7_9_11_13%5D-_%5B6_8_10_12%5D-_%5B5_7_9_11%5D-_%5B4_6_8_10%5D-_%5B3_5_7_9%5D-_%5B2_4_6_8%5D-_%5B1_3_5_7%5D-_%5B0_2_4_6%5D--- Locrian dark diminished]
|}
|}
Like [[Meantone]][7] and [[Porcupine]][7], and unlike the Ptolemy/Zarlino just major scale, the Pinetone diatonic scale is ''mirror symmetric'', meaning that the mirror inverse of any mode of the scale is also a mode of the scale, i.e., if we trace the steps of the mode from the top instead of from the bottom. This is reflected with the mode numbers. The mirror inverse of mode 3, the brightest mode, is mode -3, the darkest mode, and mode 0 is itself a symmetric mode, hence 'symmetric' in the mode name. We may already know this - that the Dorian mode of the familiar diatonic scale is symmetric, and the mirror inverse of the Lydian mode is the Locrian mode.
Like [[Meantone]][7] and [[Porcupine]][7], and unlike the Ptolemy/Zarlino just major scale, the Pinetone diatonic scale is ''mirror symmetric'', meaning that the mirror inverse of any mode of the scale is also a mode of the scale, i.e., if we trace the steps of the mode from the top instead of from the bottom. This is reflected with the mode numbers. The mirror inverse of mode 3, the brightest mode, is mode -3, the darkest mode, and mode 0 is itself a symmetric mode, hence 'symmetric' in the mode name. We may already know this - that the Dorian mode of the familiar diatonic scale is symmetric, and the mirror inverse of the Lydian mode is the Locrian mode.
Retrieved from "https://en.xen.wiki/w/Pinetone"