How to create more resonant relationships within the organisation and why is that important?

The main pillar in this is the Leader, if you have an emotionally intelligent leader who is resonant, then all relationships will be influenced and this will create an exciting culture within the organization.

Hello Thabit, IMPORTANCE OF RESONANT RELATIONSHIPS WITHIN THE ORGANIZATION: Every employee spends majority of his QUALITATIVE time in office. 
He goes to home to relax – recharge – n – return to work!  This being the reality, EVERYONE in the organization should STRIVE HARD to create a MUTUAL cordial – cooperating – coordinating – understanding – compassionate relationship ENVIRONMENT during the office hours. 
This will lead to harmonious living culture. 
This should be initiated by the TOP MANAGEMENT, and, every member of the organization should participate in this actively.

In response to a discussion on the effect of a leader's mood on the performance of a team, a participant in a recent leadership workshop made this heartfelt and realistic remark: "I cannot see how I am expected to be in a good mood for four quarters in a row."

 I am agree with above expert who already expressed their valuable opinion. Lakshman Ram & Firas Hamdan,

Definitely managers need to lead by example.  They need to be professional, respectionally, emotionally mature, forward thinking and pro-active in problem solving.

Too many managers are egotistical and autocratic in their management style to the detriment of employees and businesses.

How can an employee respect a manager who is managing them poorly and disrespectfully or who professional conduct is questionable?

An employee will not give100% and may either be resentful, underperform or leave the business.

A manager who has a positive attitude to his employees will reap the benefits of having a long and fruitful relationship with them and the business will prosper.

A manager needs to know their strength and weaknesses and have support from professionals who can assist in helping employees and the business reach the optimum level of performance.

Acknowledge training needs of employees.  Be supportive for employees in times of their difficulties performing or personal issues which are affecting their work.  There should be no 'fear' factor or oppressive working environment but a warm, pleasant working environment both visually and physically.