User:ResonantFrequencies/List of named chords: Difference between revisions

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==Triads==
==Triads==
<pre>2:3:4    power chord / fifth chord
{| class="wikitable"
3:5:7    &quot;major triad of the Bohlen–Pierce scale&quot;
|+
4:5:6    major chord
!Ratios
5:6:7    perfect diminished chord
!Name
6:7:9    &quot;The lowest numbers producing a minor triad in the harmonic series (McIntyre 2002)&quot;
|-
6:8:9    suspended fourth chord
|2:3:4    || [[wikipedia:Power chord|Power chord]] / Fifth chord
8:9:12    suspended second chord
|-
10:12:15  minor chord &quot;the first occurrence of a minor triad in the harmonic series&quot;
|3:5:7    || "major triad of the Bohlen–Pierce scale"
16:19:24  false minor triad?
|-
16:20:25  augmented triad
|4:5:6    || [[wikipedia:Major chord|Major chord]]
27:32:40  supertonic triad?
|-
45:54:64  diminished triad
|5:6:7    || Perfect diminished chord
54:64:243 Pythagorean minor triad
|-
64:81:96  Pythagorean minor triad
|6:7:9    || "The lowest numbers producing a minor triad in the harmonic series (McIntyre 2002)"
</pre>
|-
|6:8:9    || [[wikipedia:Suspended fourth chord|Suspended fourth chord]]
|-
|8:9:12    || [[wikipedia:Suspended second chord|Suspended second chord]]
|-
|10:12:15  || [[wikipedia:Minor chord|Minor chord]] "the first occurrence of a minor triad in the harmonic series"
|-
|16:19:24  || False minor triad?
|-
|16:20:25  || [[wikipedia:Augmented triad|Augmented triad]]
|-
|27:32:40  || Supertonic triad?
|-
|45:54:64  || [[wikipedia:Diminished triad|Diminished triad]]
|-
|54:64:243 || Pythagorean minor triad
|-
|64:81:96  || Pythagorean minor triad
|}
 
==Tetrads==
==Tetrads==
<pre>3:5:7:9         &quot;the primary tetrad in the Bohlen-Pierce tuning system&quot;
{| class="wikitable"
3:5:9:15       &quot;anomalous saturated suspension&quot; http://x31eq.com/ass.htm
!Ratios
3:7:9:21       &quot;anomalous saturated suspension&quot;
!Name
4:5:6:7         harmonic seventh chord
|-
4:5:6:18       major seventh chord
| 3:5:7:9 ||    "the primary tetrad in the Bohlen-Pierce tuning system"
5:6:7:9         half-diminished seventh
|-
8:9:10:12       mu major chord
| 3:5:9:15 ||    "anomalous saturated suspension" http://x31eq.com/ass.htm
8:10:12:15     major/major seventh chord
|-
10:12:15:18     minor seventh
| 3:7:9:21 ||    "[[anomalous saturated suspension]]"
12:16:17:18     dream chord
|-
20:25:30:36     dominant seventh chord
| 4:5:6:7 ||    harmonic seventh chord
25:30:36:45     half-diminished seventh
|-
40:48:60:75     minor/major seventh chord
| 4:5:6:18 ||    major seventh chord
80:100:125:144  augmented seventh chord
|-
</pre>
| 5:6:7:9 ||    half-diminished seventh
|-
| 8:9:10:12 ||    mu major chord
|-
| 8:10:12:15 ||  major/major seventh chord
|-
| 10:12:15:18 ||    minor seventh
|-
| 12:16:17:18 ||    dream chord
|-
| 20:25:30:36 ||    dominant seventh chord
|-
| 25:30:36:45 ||    half-diminished seventh
|-
| 40:48:60:75 ||    minor/major seventh chord
|-
| 80:100:125:144 || augmented seventh chord
|}
 
==Pentads==
==Pentads==
<pre>4:5:6:7:9       Dominant ninth chord
{| class="wikitable"
8:10:12:14:17  Dominant minor ninth chord
!Ratios
20:25:30:36:48  Dominant seventh sharp ninth chord
!Name
</pre>
|-
| 4:5:6:7:9     ||  Dominant ninth chord
|-
| 8:10:12:14:17 ||   Dominant minor ninth chord
|-
| 20:25:30:36:48 || Dominant seventh sharp ninth chord
|}
 
==Hexads==
==Hexads==

Latest revision as of 02:46, 2 July 2019

Triads

Ratios Name
2:3:4 Power chord / Fifth chord
3:5:7 "major triad of the Bohlen–Pierce scale"
4:5:6 Major chord
5:6:7 Perfect diminished chord
6:7:9 "The lowest numbers producing a minor triad in the harmonic series (McIntyre 2002)"
6:8:9 Suspended fourth chord
8:9:12 Suspended second chord
10:12:15 Minor chord "the first occurrence of a minor triad in the harmonic series"
16:19:24 False minor triad?
16:20:25 Augmented triad
27:32:40 Supertonic triad?
45:54:64 Diminished triad
54:64:243 Pythagorean minor triad
64:81:96 Pythagorean minor triad

Tetrads

Ratios Name
3:5:7:9 "the primary tetrad in the Bohlen-Pierce tuning system"
3:5:9:15 "anomalous saturated suspension" http://x31eq.com/ass.htm
3:7:9:21 "anomalous saturated suspension"
4:5:6:7 harmonic seventh chord
4:5:6:18 major seventh chord
5:6:7:9 half-diminished seventh
8:9:10:12 mu major chord
8:10:12:15 major/major seventh chord
10:12:15:18 minor seventh
12:16:17:18 dream chord
20:25:30:36 dominant seventh chord
25:30:36:45 half-diminished seventh
40:48:60:75 minor/major seventh chord
80:100:125:144 augmented seventh chord

Pentads

Ratios Name
4:5:6:7:9 Dominant ninth chord
8:10:12:14:17 Dominant minor ninth chord
20:25:30:36:48 Dominant seventh sharp ninth chord

Hexads

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