<p>The E-gamma over spin (E-GOS) ratio, defined as <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(R_{\mathrm {E-GOS}}(I)=E_{\gamma }(I\rightarrow I-2)/I\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>R</mi> <mrow> <mi mathvariant="normal">E</mi> <mo>-</mo> <mi mathvariant="normal">GOS</mi> </mrow> </msub> <mrow> <mo stretchy="false">(</mo> <mi>I</mi> <mo stretchy="false">)</mo> </mrow> <mo>=</mo> <msub> <mi>E</mi> <mi>γ</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>I</mi> <mo stretchy="false">→</mo> <mi>I</mi> <mo>-</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mrow> <mo stretchy="false">/</mo> <mi>I</mi> </mrow> </math></EquationSource> </InlineEquation>, serves as a powerful tool in examining the transitions between vibrational and rotational structures. The mass region <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(100 \le A \le 112\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>100</mn> <mo>≤</mo> <mi>A</mi> <mo>≤</mo> <mn>112</mn> </mrow> </math></EquationSource> </InlineEquation> has been recognised as a region of interest for such transitions, especially from <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\gamma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>-soft/vibrational to rotational structures. However, recent studies of nuclei, such as <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(^{104}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>104</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Pd and <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(^{106,108,110}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mrow> <mn>106</mn> <mo>,</mo> <mn>108</mn> <mo>,</mo> <mn>110</mn> </mrow> </mmultiscripts> </math></EquationSource> </InlineEquation>Cd, have revealed an exotic interesting phenomenon: a transition from <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\gamma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>-soft/vibrational to antimagnetic rotational behaviour along the yrast line. To explore this transition in a systematic manner, we have calculated two quantities: the average of the E-GOS ratio (<InlineEquation ID="IEq9"> <EquationSource Format="TEX">\({\overline{R}}_{\mathrm{E-GOS}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mover> <mi>R</mi> <mo>¯</mo> </mover> <mrow> <mi mathvariant="normal">E</mi> <mo>-</mo> <mi mathvariant="normal">GOS</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>) and the gradient of the E-GOS ratio (<InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(g=\frac{\triangle R_{\mathrm{E-GOS}}}{\triangle I}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>g</mi> <mo>=</mo> <mfrac> <mrow> <mi>▵</mi> <msub> <mi>R</mi> <mrow> <mi mathvariant="normal">E</mi> <mo>-</mo> <mi mathvariant="normal">GOS</mi> </mrow> </msub> </mrow> <mrow> <mi>▵</mi> <mi>I</mi> </mrow> </mfrac> </mrow> </math></EquationSource> </InlineEquation>) at the band-head for both <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(\gamma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>-soft/vibrational and antimagnetic rotational modes within a specific spin range.</p>