All the Coil Combinations (without phase reversals)

This is everything on my "All the Coil Combinations" page minus the combinations that involve phase reversals.  In other words, it's everything possible provided you don't use any phase switches.

Key:
+ = series connection
& = parallel connection

Six-coil guitar

One coil active
1
2
3
4
5
6

Total = 6

Two coils active
1&2
1&3
1&4
1&5
1&6
2&3
2&4
2&5
2&6
3&4
3&5
3&6
4&5
4&6
5&6
1+2
1+3
1+4
1+5
1+6
2+3
2+4
2+5
2+6
3+4
3+5
3+6
4+5
4+6
5+6

Total = 30

Three coils active
1+2+3
1&2+3
1+2&3
1&2&3
1+2+4
1&2+4
1+2&4
1&2&4
1+2+5
1&2+5
1+2&5
1&2&5
1+2+6
1&2+6
1+2&6
1&2&6
1+3+4
1&3+4
1+3&4
1&3&4
1+3+5
1&3+5
1+3&5
1&3&5
1+3+6
1&3+6
1+3&6
1&3&6
1+4+5
1&4+5
1+4&5
1&4&5
1+4+6
1&4+6
1+4&6
1&4&6
1+5+6
1&5+6
1+5&6
1&5&6
2+3+4
2&3+4
2+3&4
2&3&4
2+3+5
2&3+5
2+3&5
2&3&5
2+3+6
2&3+6
2+3&6
2&3&6
2+4+5
2&4+5
2+4&5
2&4&5
2+4+6
2&4+6
2+4&6
2&4&6
2+5+6
2&5+6
2+5&6
2&5&6
3+4+5
3&4+5
3+4&5
3&4&5
3+4+6
3&4+6
3+4&6
3&4&6
3+5+6
3&5+6
3+5&6
3&5&6
4+5+6
4&5+6
4+5&6
4&5&6

Total = 80

Four coils active
1+2+3+4
1&2+3+4
1+2&3+4
1+2+3&4
1&2&3+4
1+2&3&4
1&2+3&4
1&2&3&4
1+2+3+5
1&2+3+5
1+2&3+5
1+2+3&5
1&2&3+5
1+2&3&5
1&2+3&5
1&2&3&5
1+2+3+6
1&2+3+6
1+2&3+6
1+2+3&6
1&2&3+6
1+2&3&6
1&2+3&6
1&2&3&6
1+2+4+5
1&2+4+5
1+2&4+5
1+2+4&5
1&2&4+5
1+2&4&5
1&2+4&5
1&2&4&5
1+2+4+6
1&2+4+6
1+2&4+6
1+2+4&6
1&2&4+6
1+2&4&6
1&2+4&6
1&2&4&6
1+2+5+6
1&2+5+6
1+2&5+6
1+2+5&6
1&2&5+6
1+2&5&6
1&2+5&6
1&2&5&6
1+3+4+5
1&3+4+5
1+3&4+5
1+3+4&5
1&3&4+5
1+3&4&5
1&3+4&5
1&3&4&5
1+3+4+6
1&3+4+6
1+3&4+6
1+3+4&6
1&3&4+6
1+3&4&6
1&3+4&6
1&3&4&6
1+3+5+6
1&3+5+6
1+3&5+6
1+3+5&6
1&3&5+6
1+3&5&6
1&3+5&6
1&3&5&6
1+4+5+6
1&4+5+6
1+4&5+6
1+4+5&6
1&4&5+6
1+4&5&6
1&4+5&6
1&4&5&6
2+3+4+5
2&3+4+5
2+3&4+5
2+3+4&5
2&3&4+5
2+3&4&5
2&3+4&5
2&3&4&5
2+3+4+6
2&3+4+6
2+3&4+6
2+3+4&6
2&3&4+6
2+3&4&6
2&3+4&6
2&3&4&6
2+3+5+6
2&3+5+6
2+3&5+6
2+3+5&6
2&3&5+6
2+3&5&6
2&3+5&6
2&3&5&6
2+4+5+6
2&4+5+6
2+4&5+6
2+4+5&6
2&4&5+6
2+4&5&6
2&4+5&6
2&4&5&6
2+4+5+6
3&4+5+6
3+4&5+6
3+4+5&6
3&4&5+6
3+4&5&6
3&4+5&6
3&4&5&6

Total = 120

Five coils active
1+2+3+4+5
1&2+3+4+5
1+2&3+4+5
1+2+3&4+5
1+2+3+4&5
1&2&3+4+5
1&2+3&4+5
1&2+3+4&5
1+2&3&4+5
1+2&3+4&5
1+2+3&4&5
1&2&3&4+5
1&2+3&4&5
1+2&3&4&5
1&2&3&4&5
1+2+3+4+6
1&2+3+4+6
1+2&3+4+6
1+2+3&4+6
1+2+3+4&6
1&2&3+4+6
1&2+3&4+6
1&2+3+4&6
1+2&3&4+6
1+2&3+4&6
1+2+3&4&6
1&2&3&4+6
1&2+3&4&6
1+2&3&4&6
1&2&3&4&6
1+2+3+5+6
1&2+3+5+6
1+2&3+5+6
1+2+3&5+6
1+2+3+5&6
1&2&3+5+6
1&2+3&5+6
1&2+3+5&6
1+2&3&5+6
1+2&3+5&6
1+2+3&5&6
1&2&3&5+6
1&2+3&5&6
1+2&3&5&6
1&2&3&5&6
1+2+4+5+6
1&2+4+5+6
1+2&4+5+6
1+2+4&5+6
1+2+4+5&6
1&2&4+5+6
1&2+4&5+6
1&2+4+5&6
1+2&4&5+6
1+2&4+5&6
1+2+4&5&6
1&2&4&5+6
1&2+4&5&6
1+2&4&5&6
1&2&4&5&6
1+3+4+5+6
1&3+4+5+6
1+3&4+5+6
1+3+4&5+6
1+3+4+5&6
1&3&4+5+6
1&3+4&5+6
1&3+4+5&6
1+3&4&5+6
1+3&4+5&6
1+3+4&5&6
1&3&4&5+6
1&3+4&5&6
1+3&4&5&6
1&3&4&5&6
2+3+4+5+6
2&3+4+5+6
2+3&4+5+6
2+3+4&5+6
2+3+4+5&6
2&3&4+5+6
2&3+4&5+6
2&3+4+5&6
2+3&4&5+6
2+3&4+5&6
2+3+4&5&6
2&3&4&5+6
2&3+4&5&6
2+3&4&5&6
2&3&4&5&6

Total = 90

Six coils active
1+2+3+4+5+6
1&2+3+4+5+6
1+2&3+4+5+6
1+2+3&4+5+6
1+2+3+4&5+6
1+2+3+4+5&6
1&2&3+4+5+6
1&2+3&4+5+6
1&2+3+4&5+6
1&2+3+4+5&6
1+2&3&4+5+6
1+2&3+4&5+6
1+2&3+4+5&6
1+2+3&4&5+6
1+2+3&4+5&6
1+2+3+4&5&6
1&2&3&4+5+6
1&2&3+4&5+6
1&2&3+4+5&6
1&2+3&4&5+6
1&2+3&4+5&6
1&2+3+4&5&6
1+2&3&4&5+6
1+2&3&4+5&6
1+2&3+4&5&6
1+2+3&4&5&6
1&2&3&4&5+6
1&2&3&4+5&6
1&2&3+4&5&6
1&2+3&4&5&6
1+2&3&4&5&6
1&2&3&4&5&6

Total = 32

Grand total = 358 (plus 4492 more combinations with the phase =
4850)

Five-coil guitar (sans phase)

One coil active
1
2
3
4
5

Total = 5

Two coils active
1&2
1&3
1&4
1&5
2&3
2&4
2&5
3&4
3&5
4&5
1+2
1+3
1+4
1+5
2+3
2+4
2+5
3+4
3+5
4+5

Total = 21

Three coils active
1+2+3
1&2+3
1+2&3
1&2&3
1+2+4
1&2+4
1+2&4
1&2&4
1+2+5
1&2+5
1+2&5
1&2&5
1+3+4
1&3+4
1+3&4
1&3&4
1+3+5
1&3+5
1+3&5
1&3&5
1+4+5
1&4+5
1+4&5
1&4&5
2+3+4
2&3+4
2+3&4
2&3&4
2+3+5
2&3+5
2+3&5
2&3&5
2+4+5
2&4+5
2+4&5
2&4&5
3+4+5
3&4+5
3+4&5
3&4&5

Total = 40

Four coils active
1+2+3+4
1&2+3+4
1+2&3+4
1+2+3&4
1&2&3+4
1+2&3&4
1&2+3&4
1&2&3&4
1+2+3+5
1&2+3+5
1+2&3+5
1+2+3&5
1&2&3+5
1+2&3&5
1&2+3&5
1&2&3&5
1+2+4+5
1&2+4+5
1+2&4+5
1+2+4&5
1&2&4+5
1+2&4&5
1&2+4&5
1&2&4&5
1+3+4+5
1&3+4+5
1+3&4+5
1+3+4&5
1&3&4+5
1+3&4&5
1&3+4&5
1&3&4&5
2+3+4+5
2&3+4+5
2+3&4+5
2+3+4&5
2&3&4+5
2+3&4&5
2&3+4&5
2&3&4&5

Total = 40

Five coils active
1+2+3+4+5
1&2+3+4+5
1+2&3+4+5
1+2+3&4+5
1+2+3+4&5
1&2&3+4+5
1&2+3&4+5
1&2+3+4&5
1+2&3&4+5
1+2&3+4&5
1+2+3&4&5
1&2&3&4+5
1&2&3+4&5
1&2+3&4&5
1+2&3&4&5
1&2&3&4&5

Total = 16

Grand total = 122 (plus 939 more combinations with the phase =
1061)

Four-coil guitar

One coil active
1
2
3
4

Total = 4

Two coils active
1&2
1&3
1&4
2&3
2&4
3&4
1+2
1+3
1+4
2+3
2+4
3+4

Total = 12

Three coils active
1+2+3
1&2+3
1+2&3
1&2&3
1+2+4
1&2+4
1+2&4
1&2&4
1+3+4
1&3+4
1+3&4
1&3&4
2+3+4
2&3+4
2+3&4
2&3&4

Total = 16

Four coils active
1+2+3+4
1&2+3+4
1+2&3+4
1+2+3&4
1&2&3+4
1+2&3&4
1&2+3&4
1&2&3&4

Total = 8

Grand Total = 40
(plus 184 more combinations with the phase = 224)

Three-coil guitar

One coil active
1
2
3

Total = 3

Two coils active
1&2
1&3
2&3
1+2
1+3
2+3

Total = 6

Three coils active
1+2+3
1&2+3
1+2&3
1&2&3

Total = 4

Grand Total = 13 (plus 30 more combinations with the phase =
43)

Two-coil guitar

One coil active
1
2

Total = 2

Two coils active
1&2
1+2

Total = 2

Grand Total = 4 (plus 2 more combinations with the phase = 6)

One-coil guitar

One coil active
1

Grand Total = 1 (plus 0 more combinations with the phase = 1)