How to schedule an apex schedulable class to run after every 10 or 15 minutes

There are scenario in which we need to schedule apex class to run after every 10 minutes or 15 minutes. In order to achieve this requirement, we can create 2 apex scheduler classes. Whenever first scheduler will run, it will perform processing or operation and after that it will schedule second apex schedule class to run after specified interval (in below example, we have mentioned 10 minutes). When second scheduler will run it perform operation or processing and will schedule first apex schedule class to run after specified interval.

First apex scheduler class:

global class Scheduler01 implements Schedulable {
    global void execute(SchedulableContext SC)     
    {
        //Call other class method which will perform operations as it is 
        //recommended that all processing take place in a separate class
        doScheduling();
    }
    public void doScheduling(){
       try{
            dateTime dt=System.now().addMinutes(10); //you can specify 10 mins or 15     
                                                                              //mins or any interval
            String Csec,Cmin,Chr,Cday,Cmonth,CYear;
            Csec=String.valueof(dt.second());
            Cmin=String.valueof(dt.minute());
            Chr=String.valueof(dt.hour());
            Cday=String.valueof(dt.day());
            Cmonth=String.valueof(dt.month());
            CYear=String.valueof(dt.Year());
            String SchTimer=Csec+' '+Cmin+' '+Chr+' '+Cday+' '+Cmonth+' ? '+CYear;
            system.debug('*************SchTimer:'+SchTimer);
            Scheduler02 cas = new Scheduler02();
            system.schedule('Scheduler02: Running at '+System.now().format(), SchTimer, cas);
            //we will delete completed apex scheduled jobs for which state is DELETED

            for( CronTrigger c:[Select State,Id,EndTime,CronExpression From CronTrigger where  
                                        NextFireTime= null  AND State='DELETED' Limit 100]){
                    System.abortJob(c.id);
            }
        }
        catch(exception e){
        }
   }
}

Second apex Scheduler Class:

global class Scheduler02 implements Schedulable {

    global void execute(SchedulableContext SC){

        //Call other class method which will perform operations as it is 

        //recommended that all processing take place in a separate class

        doScheduling();

    }

    public void doScheduling(){

      try{

            dateTime dt=System.now().addMinutes(10);

            String Csec,Cmin,Chr,Cday,Cmonth,CYear;

            Csec=String.valueof(dt.second());

            Cmin=String.valueof(dt.minute());

            Chr=String.valueof(dt.hour());

            Cday=String.valueof(dt.day());

            Cmonth=String.valueof(dt.month());

            CYear=String.valueof(dt.Year());

            String SchTimer=Csec+' '+Cmin+' '+Chr+' '+Cday+' '+Cmonth+' ? '+CYear;

            system.debug('*************SchTimer:'+SchTimer);

            Scheduler01 cas = new Scheduler01();

            system.schedule('Scheduler01: Running at '+System.now().format(), SchTimer, cas);

            //we will delete completed apex scheduled jobs for which state is DELETED

            for( CronTrigger c:[Select State,Id,EndTime,CronExpression From CronTrigger  

                                where NextFireTime=null  AND State='DELETED' Limit 100]){

                    System.abortJob(c.id);

            }

        }

        catch(exception e){

        }

    }

}