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→Quartal Chords: added modes to symmetric pentads table with links to demos
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|+2nd inversion (symmetric) 3-step stacked pentads of the Pinetone diatonic on D
|+2nd inversion (symmetric) 3-step stacked pentads of the Pinetone diatonic on D
!Root note
!Root note
!Mode
!Notes
!Notes
!Meantone intervals
!Meantone intervals
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|-
|-
!D
!D
|[https://xenpaper.com/#%7B1%2F1_174.055c_320.690c_494.745c_704.524c_878.579c_1025.214c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Dorian symmetric minor]
|D-G-C-E-A-D
|D-G-C-E-A-D
|P4, P4, M3, P4, P4
|P4, P4, M3, P4, P4
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|-
|-
!E
!E
|[https://xenpaper.com/#%7B1%2F1_146.635c_320.690c_530.469c_704.524c_851.159c_1025.214c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Phrygian bright minor]
|E-A-D-F-B-E
|E-A-D-F-B-E
|P4, P4, m3, A4, P4
|P4, P4, m3, A4, P4
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|-
|-
!F
!F
|[https://xenpaper.com/#%7B1%2F1_174.055c_383.834c_557.888c_704.524c_878.579c_1052.633c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Lydian dark major]
|F-B-E-G-C-F
|F-B-E-G-C-F
|A4, P4, m3, P4, P4
|A4, P4, m3, P4, P4
Line 763: Line 759:
|-
|-
!G
!G
|[https://xenpaper.com/#%7B1%2F1_209.779c_383.834c_530.469c_704.524c_878.579c_1025.214c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Mixolydian bright major]
|G-C-F-A-D-G
|G-C-F-A-D-G
|P4, P4, M3, P4, P4
|P4, P4, M3, P4, P4
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|-
|-
!A
!A
|[https://xenpaper.com/#%7B1%2F1_174.055c_320.690c_494.745c_668.800c_815.435c_989.490c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Aeolian magical seventh]
|A-D-G-B-E-A
|A-D-G-B-E-A
|P4, P4, M3, P4, P4
|P4, P4, M3, P4, P4
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|-
|-
!B
!B
|[https://xenpaper.com/#%7B1%2F1_174.055c_320.690c_494.745c_668.800c_815.435c_989.490c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Locrian dark diminished]
|B-E-A-C-F-B
|B-E-A-C-F-B
|P4, P4, m3, P4, A4
|P4, P4, m3, P4, A4
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|-
|-
!C
!C
|[https://xenpaper.com/#%7B1%2F1_174.055c_348.110c_494.745c_668.800c_878.579c_1052.633c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Ionian bright diminished]
|C-F-B-D-G-C
|C-F-B-D-G-C
|P4, A4, m3, P4, P4
|P4, A4, m3, P4, P4
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|4/3, 25/18, 6/5, 4/3, 27/20
|4/3, 25/18, 6/5, 4/3, 27/20
|}
|}
The mode names link to sequenced examples of the root position 3-step triads, and to root position, 1st inversion, 2nd inversion (with double octave), 3rd inversion, and 4th inversion 3-step pentads, on the tonic of each mode, tuned to [http://x31eq.com/cgi-bin/rt.cgi?ets=1ce_4p_2ce&limit=2_3_5_11 TE 2.3.5.11 Ptolemismic].
The mode names in the table below link to sequenced examples of the root position 3-step triads, and to root position, 1st inversion, 2nd inversion (with double octave), 3rd inversion, and 4th inversion 3-step pentads, on the tonic of each mode, tuned to [http://x31eq.com/cgi-bin/rt.cgi?ets=1ce_4p_2ce&limit=2_3_5_11 TE 2.3.5.11 Ptolemismic].
{| class="wikitable"
|+Quartal chords on the root of the modes of the Ptolemismic Pinetone diatonic
!Mode
!Triad root position
!Pentad root position
!Pentad 1st inversion
!Pentad 2nd inversion
!Pentad 3rd intervsion
!Pentad fourth inversion
|-
|[https://xenpaper.com/#%7B1%2F1_174.055c_320.690c_494.745c_704.524c_878.579c_1025.214c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Dorian symmetric minor]
|D-G-C
|D-G-C-F-B
|D-G-C-F-A
|D-G-C-E-A-D
|D-G-B-E-A
|D-F-B-E-A
|-
|[https://xenpaper.com/#%7B1%2F1_146.635c_320.690c_530.469c_704.524c_851.159c_1025.214c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Phrygian bright minor]
|E-A-D
|E-A-D-G-C
|E-A-D-G-B
|E-A-D-F-B-E
|E-A-C-F-B
|E-G-C-F-B
|-
|[https://xenpaper.com/#%7B1%2F1_174.055c_383.834c_557.888c_704.524c_878.579c_1052.633c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Lydian dark major]
|F-B-E
|F-B-E-A-D
|F-B-E-A-C
|F-B-E-G-C-F
|F-B-D-G-C
|F-A-D-G-C
|-
|[https://xenpaper.com/#%7B1%2F1_209.779c_383.834c_530.469c_704.524c_878.579c_1025.214c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Mixolydian bright major]
|G-C-F
|G-C-F-B-E
|G-C-F-B-D
|G-C-F-A-D-G
|G-C-E-A-D
|G-B-E-A-D
|-
|[https://xenpaper.com/#%7B1%2F1_174.055c_320.690c_494.745c_668.800c_815.435c_989.490c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Aeolian magical seventh]
|A-D-G
|A-D-G-C-F
|A-D-G-C-E
|A-D-G-B-E-A
|A-D-F-B-E
|A-C-F-B-E
|-
|[https://xenpaper.com/#%7B1%2F1_174.055c_320.690c_494.745c_668.800c_815.435c_989.490c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Locrian dark diminished]
|B-E-A
|B-E-A-D-G
|B-E-A-D-F
|B-E-A-C-F-B
|B-E-G-C-F
|B-D-G-C-F
|-
|[https://xenpaper.com/#%7B1%2F1_174.055c_348.110c_494.745c_668.800c_878.579c_1052.633c_1199.269c'%7D%5B0_3_6%5D------._%5B0_3_6_9_12%5D------._%5B0_3_6_9_11%5D------._%5B0_3_6_8_11_14%5D------._%5B0_3_5_8_11%5D------._%5B0_2_5_8_11%5D------. Ionian bright diminished]
|C-F-B
|C-F-B-E-A
|C-F-B-E-G
|C-F-B-D-G-C
|C-F-A-D-G
|C-E-A-D-G
|}


== The Pinetone pentatonic and the Pinetone chromatic ==
== The Pinetone pentatonic and the Pinetone chromatic ==
Retrieved from "https://en.xen.wiki/w/Pinetone"