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

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==Triads==
==Triads==
<pre>2:3:4    power chord / fifth chord
3:5:7    &quot;major triad of the Bohlen–Pierce scale&quot;
4:5:6    major chord
5:6:7    perfect diminished chord
6:7:9    &quot;The lowest numbers producing a minor triad in the harmonic series (McIntyre 2002)&quot;
6:8:9    suspended fourth 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;
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
</pre>
{| class="wikitable"
{| class="wikitable"
|+
|+
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!Name
!Name
|-
|-
|2:3:4
|2:3:4     || [[wikipedia:Power chord|Power chord]] / Fifth chord
|[[Wikipedia:Power chord|Power chord]] / Fifth chord
|-
|-
|
|3:5:7    || "major triad of the Bohlen–Pierce scale"
|
|-
|-
|
|4:5:6    || [[wikipedia:Major chord|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    || [[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==