Don’t get confused ! Up to now we worked on the C Major scale starting on each scale degree(Church modes) mirrored by various scales having each scales degree as common tone (pivot) resulting in different tonalities (transposed scales) that begin withÂ differentÂ scale degree (modes).
For example:
Let’s write the mirror of a CM scale starting on F (=Lydian mode)F.G. A.BC.D.E.F
with G as Â common tone (pivot)
the mirror is a Bb Maj scale (transposed scale one tone below)which begins ont its 7th degree (A Locrian mode)
Now Â we are discussing the transposed original scale (the previously CM scale). The issue is Â a mere shifting of the tonal center on the fifths series but carrying it into effect might beÂ difficultÂ due to enharmony.
Let’s go back to C major. The so called tonal center C is flanked by 6 fifths on either side
the outer enharmonic fifths close the fifths circle and share the location of the pivot forming theÂ characteristicÂ TritonÂ of CM (FB)
Remember Â the pivots are the seven fifths of CM starting a fifth below the tonic and distributed Â every to fifths (FCGDAEB) placed on GbAb and so on
In C Maj
Ib Bb
Notice the big zone of enharmony and Â common zone that shares the Triton and is a source of difficulty.
Transposition Â a tone below is a shift of two fifths to the left
Transposition Â a tone above is a shift of two fifths to the right
Notice the how the transposed G dorian mode appears .

Some pivots are common to CM SCALE but the associated tonalities are shifted in opposed direction to transposition
 The relation of the modes are the same

Taking transposition into account ,other properties are similar to the CM mirror

Example 1
Mirror tonality similar to original scale

The pivot is the tonic of the mirror

note that starts the Mirror in the same tonality
Pivots and related tonalities
Since scales have common pivots with different associated tonality, we need a mean to know which scale we are in.
Pivots are the 7 scale degrees in a ascending fifths series form.Each pivot is related to a specific interval with the associated tonality according to their scale function shown in the following table.
For example let’s take the CM scale
With G the associated tonality is Bb : a minor third above so G Is the V of the original scale(C).
Now let’ examine DM scale
G is associated to Ab (a second minor above) therefore G is the IV of the original scale(D)
With A as pivot
– AD =a fourth so a VIth degree in CM
AC=a third so a Vth degree in DM