![==[]--](sr.gif)
MANNHEIM operations
Body:[A D], slide:[B C]
Direct
| Formula | Scales | Operation |
|---|
| u2 |
[A,D] |
uD=>A(r) |
| [B,C] |
uC=>B(r) |
| u1/2 |
[D,A] |
uA=>D(r) |
| [C,B] |
uB=>C(r) |
Simple
| Formula | Scales | Operation |
|---|
| u2v2w-1 |
[A,B,C,D] |
wB->uD; vC=>A(r) |
| [B,A,C,D] |
uC->wA; vD=>B(r) |
| u2v2w-2 |
[A,C,D] |
wC->uD; vC=>A(r) |
| [B,C,D] |
uC->wD; vD=>B(r) |
| u2vw-1 |
[A,B,C] |
wB->vA; uC=>A(r) |
| [B,A,C] |
uC->wA; vA=>B(r) |
| [A,B,D] |
wB->uD; vB=>A(r) |
| [B,A,D] |
vB->wA; uD=>B(r) |
| u2vw-2 |
[B,D] |
vB->wD; uD=>B(r) |
| [B,A,C,D] |
uC->wD; vA=>B(r) |
| [A,B,C,D] |
wC->uD; vB=>A(r) |
| [A,C] |
wC->vA; uC=>A(r) |
| uvw-1/2 |
[D,B,C] |
wB->uD; vC=>D(r) |
| [C,A,D] |
uC->wA; vD=>C(r) |
| uvw-1 |
[D,C] |
wC->uD; vC=>D(r) |
| [B,A] |
uB->wA; vA=>B(r) |
| [C,D] |
uC->wD; vD=>C(r) |
| [A,B] |
wB->uA; vB=>A(r) |
| uvw-2 |
[B,A,D] |
uB->wD; vA=>B(r) |
| [A,B,C] |
wC->uA; vB=>A(r) |
| uv1/2w-1/2 |
[D,B] |
wB->uD; vB=>D(r) |
| [C,A,B,D] |
vB->wA; uD=>C(r) |
| [D,A,B,C] |
wB->vA; uC=>D(r) |
| [C,A] |
uC->wA; vA=>C(r) |
| uv1/2w-1 |
[D,B,C] |
wC->uD; vB=>D(r) |
| [D,A,C] |
wC->vA; uC=>D(r) |
| [C,B,D] |
vB->wD; uD=>C(r) |
| [C,A,D] |
uC->wD; vA=>C(r) |
| u1/2v1/2w-1/2 |
[D,A,B] |
wB->uA; vB=>D(r) |
| [C,A,B] |
uB->wA; vA=>C(r) |
| u1/2v1/2w-1 |
[D,A,B,C] |
wC->uA; vB=>D(r) |
| [C,A,B,D] |
uB->wD; vA=>C(r) |
Reduced to 2 variables
| Formula | Scales | Operation |
|---|
| u4v-1 |
[B,A,C,D] |
uC->vA; uD=>B(r) |
| [A,B,C,D] |
vB->uD; uC=>A(r) |
| u4v-2 |
[B,C,D] |
uC->vD; uD=>B(r) |
| [A,C,D] |
vC->uD; uC=>A(r) |
| u3v-1 |
[B,A,D] |
uB->vA; uD=>B(r) |
| [A,B,C] |
vB->uA; uC=>A(r) |
| [B,A,C] |
uC->vA; uA=>B(r) |
| [A,B,D] |
vB->uD; uB=>A(r) |
| u3v-2 |
[A,C] |
vC->uA; uC=>A(r) |
| [B,D] |
uB->vD; uD=>B(r) |
| [A,B,C,D] |
vC->uD; uB=>A(r) |
| [B,A,C,D] |
uC->vD; uA=>B(r) |
| u2v2 |
[A,C,D] |
1C->uD; vC=>A(r) |
| [B,C,D] |
uC->1D; vD=>B(r) |
| u2v |
[B,A,C] |
uC->1D; vA=>B(r) |
| [A,B,C,D] |
vB->vD; uC=>A(r) |
| [B,A,C,D] |
vC->vA; uD=>B(r) |
| [B,A,C,D] |
uC->vA; vD=>B(r) |
| [A,B,D] |
1C->uD; vB=>A(r) |
| [A,B,C,D] |
vB->uD; vC=>A(r) |
| [A,C] |
1C->vA; uC=>A(r) |
| [B,D] |
vB->1D; uD=>B(r) |
| u2v-1/2 |
[D,B,C] |
vB->uD; uC=>D(r) |
| [C,A,D] |
uC->vA; uD=>C(r) |
| u2v-1 |
[B,A,D] |
1C->vA; uD=>B(r) |
| [B,A,C] |
uC->vA; 1D=>B(r) |
| [B,D] |
vB->vD; uD=>B(r) |
| [A,B] |
vB->uA; uB=>A(r) |
| [B,A,C,D] |
uC->vD; vA=>B(r) |
| [C,D] |
uC->vD; uD=>C(r) |
| [A,C] |
vC->vA; uC=>A(r) |
| [D,C] |
vC->uD; uC=>D(r) |
| [A,B,C] |
vB->1D; uC=>A(r) |
| [A,B,D] |
vB->uD; 1C=>A(r) |
| [A,B,C,D] |
vC->uD; vB=>A(r) |
| [B,A] |
uB->vA; uA=>B(r) |
| u2v-2 |
[B,C,D] |
uC->vD; 1D=>B(r) |
| [B,D] |
1C->vD; uD=>B(r) |
| [A,C] |
vC->1D; uC=>A(r) |
| [A,C,D] |
vC->uD; 1C=>A(r) |
| [A,B,C] |
vC->uA; uB=>A(r) |
| [B,A,D] |
uB->vD; uA=>B(r) |
| u3/2v-1/2 |
[D,A,B,C] |
vB->uA; uC=>D(r) |
| [C,A] |
uC->vA; uA=>C(r) |
| [D,B] |
vB->uD; uB=>D(r) |
| [C,A,B,D] |
uB->vA; uD=>C(r) |
| u3/2v-1 |
[C,B,D] |
uB->vD; uD=>C(r) |
| [D,B,C] |
vC->uD; uB=>D(r) |
| [C,A,D] |
uC->vD; uA=>C(r) |
| [D,A,C] |
vC->uA; uC=>D(r) |
| uv |
[C,D] |
uC->1D; vD=>C(r) |
| [B,A,D] |
vB->uA; uD=>B(r) |
| [A,B,C] |
uB->vA; uC=>A(r) |
| [B,A,C] |
uC->uA; vA=>B(r) |
| [B,A] |
uB->1D; vA=>B(r) |
| [A,B] |
1C->uA; vB=>A(r) |
| [D,C] |
1C->uD; vC=>D(r) |
| [A,B,D] |
uB->uD; vB=>A(r) |
| uv1/2 |
[D,A,C] |
1C->vA; uC=>D(r) |
| [D,B,C] |
vB->uD; vC=>D(r) |
| [D,B,C] |
vB->vD; uC=>D(r) |
| [C,A,D] |
vC->vA; uD=>C(r) |
| [D,B] |
1C->uD; vB=>D(r) |
| [C,B,D] |
vB->1D; uD=>C(r) |
| [C,A] |
uC->1D; vA=>C(r) |
| [C,A,D] |
uC->vA; vD=>C(r) |
| uv-1/2 |
[D,A,B] |
vB->uA; uB=>D(r) |
| [C,A,B] |
uB->vA; uA=>C(r) |
| [D,A,C] |
vC->vA; uC=>D(r) |
| [C,A] |
uC->vA; 1D=>C(r) |
| [C,A,D] |
1C->vA; uD=>C(r) |
| [D,B] |
vB->uD; 1C=>D(r) |
| [D,B,C] |
vB->1D; uC=>D(r) |
| [C,B,D] |
vB->vD; uD=>C(r) |
| [D,B,C] |
vC->uD; vB=>D(r) |
| [C,A,D] |
uC->vD; vA=>C(r) |
| uv-1 |
[A,B,C] |
vC->vA; uB=>A(r) |
| [D,A,B,C] |
vC->uA; uB=>D(r) |
| [B,A] |
uB->vA; 1D=>B(r) |
| [C,A,B,D] |
uB->vD; uA=>C(r) |
| [A,B] |
vB->1D; uB=>A(r) |
| [C,D] |
uC->vD; 1D=>C(r) |
| [C,D] |
1C->vD; uD=>C(r) |
| [D,C] |
vC->uD; 1C=>D(r) |
| [D,C] |
vC->1D; uC=>D(r) |
| [B,A,D] |
uB->vD; vA=>B(r) |
| [A,B] |
vB->uA; 1C=>A(r) |
| [B,A] |
1C->vA; uA=>B(r) |
| [A,B,C] |
vC->uA; vB=>A(r) |
| [B,A,D] |
vB->vD; uA=>B(r) |
| uv-2 |
[A,C] |
vC->uA; 1C=>A(r) |
| [B,D] |
uB->vD; 1D=>B(r) |
| [A,B,C] |
vC->1D; uB=>A(r) |
| [B,A,D] |
1C->vD; uA=>B(r) |
| u1/2v1/2 |
[D,B] |
uB->uD; vB=>D(r) |
| [C,A,B,D] |
vB->uA; uD=>C(r) |
| [D,A,B,C] |
uB->vA; uC=>D(r) |
| [C,A] |
uC->uA; vA=>C(r) |
| [C,A,B] |
uB->1D; vA=>C(r) |
| [D,A,B] |
1C->uA; vB=>D(r) |
| u1/2v-1/2 |
[D,A,B,C] |
vC->uA; vB=>D(r) |
| [D,B] |
vB->1D; uB=>D(r) |
| [C,A,B,D] |
vB->vD; uA=>C(r) |
| [C,A,B,D] |
uB->vD; vA=>C(r) |
| [D,A,B,C] |
vC->vA; uB=>D(r) |
| [C,A,B] |
uB->vA; 1D=>C(r) |
| [D,A,B] |
vB->uA; 1C=>D(r) |
| [C,A] |
1C->vA; uA=>C(r) |
| u1/2v-1 |
[C,A,D] |
1C->vD; uA=>C(r) |
| [D,A,C] |
vC->uA; 1C=>D(r) |
| [C,B,D] |
uB->vD; 1D=>C(r) |
| [D,B,C] |
vC->1D; uB=>D(r) |
Reduced to 1 variable
| Formula | Scales | Operation |
|---|
| u4 |
[A,C,D] |
1C->uD; uC=>A(r) |
| [B,C,D] |
uC->1D; uD=>B(r) |
| u3 |
[B,A,C] |
uC->1D; uA=>B(r) |
| [A,C] |
1C->uA; uC=>A(r) |
| [A,B,D] |
1C->uD; uB=>A(r) |
| [A,B,C,D] |
uB->uD; uC=>A(r) |
| [B,A,C,D] |
uC->uA; uD=>B(r) |
| [B,D] |
uB->1D; uD=>B(r) |
| u3/2 |
[D,B,C] |
uB->uD; uC=>D(r) |
| [C,B,D] |
uB->1D; uD=>C(r) |
| [C,A,D] |
uC->uA; uD=>C(r) |
| [C,A] |
uC->1D; uA=>C(r) |
| [D,A,C] |
1C->uA; uC=>D(r) |
| [D,B] |
1C->uD; uB=>D(r) |
| u-1/2 |
[C,B,D] |
uB->uD; 1D=>C(r) |
| [C,A,D] |
1C->uD; uA=>C(r) |
| [D,A,C] |
uC->uA; 1C=>D(r) |
| [D,B] |
uB->1D; 1C=>D(r) |
| [C,A] |
1C->uA; 1D=>C(r) |
| [D,B,C] |
uC->1D; uB=>D(r) |
| u-1 |
[B,A,D] |
1C->uD; uA=>B(r) |
| [B,A] |
1C->uA; 1D=>B(r) |
| [A,B,C] |
uC->1D; uB=>A(r) |
| [D,C] |
uC->1D; 1C=>D(r) |
| [B,D] |
uB->uD; 1D=>B(r) |
| [C,D] |
1C->uD; 1D=>C(r) |
| [A,B] |
uB->1D; 1C=>A(r) |
| [A,C] |
uC->uA; 1C=>A(r) |
| u-2 |
[A,C] |
uC->1D; 1C=>A(r) |
| [B,D] |
1C->uD; 1D=>B(r) |
Using search
| Formula | Scales | Operation |
|---|
| u4v-4 |
[A,B,C,D] |
vC->uD; |->D=B; |=>A |
| [B,A,C,D] |
uC->vD; |->A=C; |=>B |
| u2v-4 |
[A,B,C,D] |
vC->uA; |->D=B; |=>A |
| [B,A,C,D] |
uB->vD; |->A=C; |=>B |
Search reduced to 1 variable
| Formula | Scales | Operation |
|---|
| u-4 |
[B,A,C,D] |
1C->uD; |->A=C; |=>B |
| [A,B,C,D] |
uC->1D; |->D=B; |=>A |
Search with inverted slide
| Formula | Scales | Operation |
|---|
| u4/3v4/3 |
[A,BI,CI,D] |
uCI->vD; |->D=BI; |=>A |
| [BI,A,CI,D] |
uCI->vD; |->A=CI; |=>BI |
| u4/3v2/3 |
[A,BI,D] |
vBI->uD; |->D=BI; |=>A |
| [A,BI,CI,D] |
uCI->vA; |->D=BI; |=>A |
| [BI,A,CI] |
uCI->vA; |->A=CI; |=>BI |
| [BI,A,CI,D] |
vBI->uD; |->A=CI; |=>BI |
| u2/3v2/3 |
[CI,A,D] |
uCI->vD; |->A=CI; |=>CI |
| [A,CI,D] |
uCI->vD; |->A=CI; |=>A |
| [D,BI,CI] |
uCI->vD; |->D=BI; |=>D |
| [A,BI,D] |
uBI->vA; |->D=BI; |=>A |
| [BI,A,CI] |
uBI->vA; |->A=CI; |=>BI |
| [BI,CI,D] |
uCI->vD; |->D=BI; |=>BI |
| u2/3v1/3 |
[CI,A,BI,D] |
vBI->uD; |->A=CI; |=>CI |
| [BI,A,CI,D] |
uCI->vA; |->D=BI; |=>BI |
| [A,BI,CI,D] |
vBI->uD; |->A=CI; |=>A |
| [A,CI] |
uCI->vA; |->A=CI; |=>A |
| [D,BI] |
vBI->uD; |->D=BI; |=>D |
| [BI,D] |
vBI->uD; |->D=BI; |=>BI |
| [D,A,BI,CI] |
uCI->vA; |->D=BI; |=>D |
| [CI,A] |
uCI->vA; |->A=CI; |=>CI |
| u1/2v1/4 |
[D,A,BI] |
vBI->uD; |->A=BI; |=>D |
| [D,A,BI,CI] |
uCI->vA; |->A=BI; |=>D |
| [CI,BI,D] |
vBI->uD; |->D=CI; |=>CI |
| [CI,A,BI] |
uCI->vA; |->A=BI; |=>CI |
| [D,BI,CI] |
vBI->uD; |->D=CI; |=>D |
| [D,A,CI] |
uCI->vA; |->D=CI; |=>D |
| [CI,A,BI,D] |
vBI->uD; |->A=BI; |=>CI |
| [CI,A,D] |
uCI->vA; |->D=CI; |=>CI |
| u1/3v1/3 |
[D,A,CI] |
uCI->vD; |->A=CI; |=>D |
| [A,BI,CI] |
uBI->vA; |->A=CI; |=>A |
| [CI,A,BI] |
uBI->vA; |->A=CI; |=>CI |
| [CI,BI,D] |
uCI->vD; |->D=BI; |=>CI |
| [D,A,BI] |
uBI->vA; |->D=BI; |=>D |
| [BI,A,D] |
uBI->vA; |->D=BI; |=>BI |
| u1/3v1/6 |
[CI,BI,D] |
vBI->uD; |->D=BI; |=>CI |
| [D,A,BI,CI] |
vBI->uD; |->A=CI; |=>D |
| [D,A,CI] |
uCI->vA; |->A=CI; |=>D |
| [CI,A,BI,D] |
uCI->vA; |->D=BI; |=>CI |
| u1/4v1/4 |
[D,A,BI,CI] |
uBI->vA; |->D=CI; |=>D |
| [CI,A,BI,D] |
uBI->vA; |->D=CI; |=>CI |
| [D,A,BI] |
uBI->vA; |->A=BI; |=>D |
| [CI,A,BI] |
uBI->vA; |->A=BI; |=>CI |
| u1/6v1/6 |
[CI,A,BI,D] |
uBI->vA; |->D=BI; |=>CI |
| [D,A,BI,CI] |
uBI->vA; |->A=CI; |=>D |
Search with inverted slide reduced to 1 variable
| Formula | Scales | Operation |
|---|
| u8/3 |
[A,BI,CI,D] |
uCI->uD; |->D=BI; |=>A |
| [BI,A,CI,D] |
uCI->uD; |->A=CI; |=>BI |
| u4/3 |
[A,BI,D] |
1CI->uD; |->D=BI; |=>A |
| [BI,A,CI] |
uCI->1D; |->A=CI; |=>BI |
| [BI,A,CI] |
uBI->uA; |->A=CI; |=>BI |
| [A,CI,D] |
uCI->uD; |->A=CI; |=>A |
| [BI,A,CI,D] |
1C->uD; |->A=CI; |=>BI |
| [A,BI,CI,D] |
uCI->1D; |->D=BI; |=>A |
| [BI,CI,D] |
uCI->uD; |->D=BI; |=>BI |
| [A,BI,D] |
uBI->uA; |->D=BI; |=>A |
| [D,BI,CI] |
uCI->uD; |->D=BI; |=>D |
| [A,BI,D] |
1C->uD; |->D=BI; |=>A |
| [CI,A,D] |
uCI->uD; |->A=CI; |=>CI |
| [BI,A,CI,D] |
1CI->uD; |->A=CI; |=>BI |
| u3/4 |
[CI,A,BI,D] |
uBI->uD; |->A=BI; |=>CI |
| [D,BI,CI] |
uBI->uD; |->D=CI; |=>D |
| [CI,BI,D] |
uBI->uD; |->D=CI; |=>CI |
| [D,A,BI] |
uBI->uD; |->A=BI; |=>D |
| [CI,A,BI] |
uCI->uA; |->A=BI; |=>CI |
| [CI,A,D] |
uCI->uA; |->D=CI; |=>CI |
| [D,A,CI] |
uCI->uA; |->D=CI; |=>D |
| [D,A,BI,CI] |
uCI->uA; |->A=BI; |=>D |
| u2/3 |
[A,CI,D] |
1CI->uD; |->A=CI; |=>A |
| [CI,A] |
uCI->1D; |->A=CI; |=>CI |
| [CI,A,BI] |
uBI->uA; |->A=CI; |=>CI |
| [A,BI,D] |
1CI->uA; |->D=BI; |=>A |
| [BI,D] |
1CI->uD; |->D=BI; |=>BI |
| [CI,BI,D] |
uCI->uD; |->D=BI; |=>CI |
| [BI,A,CI] |
1C->uA; |->A=CI; |=>BI |
| [BI,A,CI] |
uBI->1D; |->A=CI; |=>BI |
| [D,BI,CI] |
uCI->1D; |->D=BI; |=>D |
| [D,BI] |
1C->uD; |->D=BI; |=>D |
| [D,A,BI] |
uBI->uA; |->D=BI; |=>D |
| [CI,A,D] |
1CI->uD; |->A=CI; |=>CI |
| [BI,D] |
1C->uD; |->D=BI; |=>BI |
| [A,CI] |
uCI->1D; |->A=CI; |=>A |
| [A,CI,D] |
1C->uD; |->A=CI; |=>A |
| [A,BI,D] |
uBI->1D; |->D=BI; |=>A |
| [A,BI,CI] |
uBI->uA; |->A=CI; |=>A |
| [BI,CI,D] |
uCI->1D; |->D=BI; |=>BI |
| [D,BI] |
1CI->uD; |->D=BI; |=>D |
| [BI,A,CI] |
1CI->uA; |->A=CI; |=>BI |
| [BI,A,D] |
uBI->uA; |->D=BI; |=>BI |
| [A,BI,D] |
1C->uA; |->D=BI; |=>A |
| [CI,A,D] |
1C->uD; |->A=CI; |=>CI |
| [D,A,CI] |
uCI->uD; |->A=CI; |=>D |
| u1/3 |
[D,A,BI] |
1C->uA; |->D=BI; |=>D |
| [A,BI,CI] |
uBI->1D; |->A=CI; |=>A |
| [BI,A,D] |
1C->uA; |->D=BI; |=>BI |
| [D,A,CI] |
1CI->uD; |->A=CI; |=>D |
| [BI,D] |
uBI->1D; |->D=BI; |=>BI |
| [A,CI] |
1C->uA; |->A=CI; |=>A |
| [CI,BI,D] |
1CI->uD; |->D=BI; |=>CI |
| [CI,A] |
1C->uA; |->A=CI; |=>CI |
| [D,A,BI] |
1CI->uA; |->D=BI; |=>D |
| [CI,A,BI] |
uBI->1D; |->A=CI; |=>CI |
| [A,CI] |
1CI->uA; |->A=CI; |=>A |
| [BI,A,D] |
1CI->uA; |->D=BI; |=>BI |
| [CI,BI,D] |
1C->uD; |->D=BI; |=>CI |
| [D,A,CI] |
uCI->1D; |->A=CI; |=>D |
| [D,A,CI] |
1C->uD; |->A=CI; |=>D |
| [D,A,BI,CI] |
uBI->uA; |->A=CI; |=>D |
| [D,BI] |
uBI->1D; |->D=BI; |=>D |
| [CI,BI,D] |
uCI->1D; |->D=BI; |=>CI |
| [CI,A] |
1CI->uA; |->A=CI; |=>CI |
| [CI,A,BI,D] |
uBI->uA; |->D=BI; |=>CI |
| u1/4 |
[CI,BI,D] |
uBI->1D; |->D=CI; |=>CI |
| [CI,A,BI] |
1C->uA; |->A=BI; |=>CI |
| [D,BI,CI] |
uBI->1D; |->D=CI; |=>D |
| [D,A,BI] |
1C->uA; |->A=BI; |=>D |
| [D,A,CI] |
1CI->uA; |->D=CI; |=>D |
| [CI,A,BI] |
1CI->uA; |->A=BI; |=>CI |
| [CI,A,BI] |
uBI->1D; |->A=BI; |=>CI |
| [D,A,CI] |
1C->uA; |->D=CI; |=>D |
| [D,A,BI] |
1CI->uA; |->A=BI; |=>D |
| [D,A,BI] |
uBI->1D; |->A=BI; |=>D |
| [CI,A,D] |
1C->uA; |->D=CI; |=>CI |
| [CI,A,D] |
1CI->uA; |->D=CI; |=>CI |
| u1/6 |
[D,A,CI] |
1C->uA; |->A=CI; |=>D |
| [CI,A,BI,D] |
1C->uA; |->D=BI; |=>CI |
| [D,A,BI,CI] |
uBI->1D; |->A=CI; |=>D |
| [D,A,CI] |
1CI->uA; |->A=CI; |=>D |
| [CI,A,BI,D] |
1CI->uA; |->D=BI; |=>CI |
| [CI,BI,D] |
uBI->1D; |->D=BI; |=>CI |
[
Index page
|
Emulator
|
Notation
|
Deframe
|
Feedback
]